- published: 26 Jun 2014
- views: 39469
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Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or subscribe to : https://www.youtube.com/MathsSmart
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers.
So we can define natural numbers as the numbers which are used while counting are called as natural numbers.
Now we take few examples
1, 34, 4678, 2100, 24045 are all natural numbers
And
0, -1, -234, 4.99, 3/4 , all are not natural numbers.
SSSS KK KK IIIIIIIIIIIIIIIII LL
SS SS KK KK III LL
SS SS KK KK III LL
SS KK KK III LL
SS KK KK III LL
SS KKKK III LL
SS KK KK III LL
SS KK KK III LL
SS SS KK KK III LL
SS SS KK KK III LL
SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL
AA SSSS CCCC
AAAA SS SS CC CC
AA AA SS SS CC CC
AA AA SS CC
AA AA SS CC
AA AA SS CC
AAAAAAAAA SS CC
AAAAAAAAAA SS CC
AA AA SS SS CC CC
AA AA SS SS CC CC
AA AA SSSS CCCC
- published: 19 Jun 2014
- views: 12799
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics:
1. Natural numbers
2. Integers
3. Rational numbers
4. Irrational numbers
5. Real Numbers & real line
6. XY-plane and plotting of any point on xy-plane
soon we will upload next lecture.
For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp)
For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
- published: 27 Jun 2016
- views: 34295
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers explained in a manner that after viewing it once you won't ever forget for lifetime.
I have maintained a sequential order of discussing the various categories of number system. You can easily switch to any part of video by clicking on the below links.
To directly jump to Natural Numbers : https://youtu.be/qiOK4vwpHAE?t=44s
To directly jump to Whole Numbers: https://youtu.be/qiOK4vwpHAE?t=1m23s
To directly jump to Integers : https://youtu.be/qiOK4vwpHAE?t=2m07s
To directly jump to Rational Numbers : https://youtu.be/qiOK4vwpHAE?t=3m30s
To directly jump to Irrational Numbers : https://youtu.be/qiOK4vwpHAE?t=5m18s
To directly jump to Prime Numbers : https://youtu.be/qiOK4vwpHAE?t=8m29s
To directly jump to Composite Numbers : https://youtu.be/qiOK4vwpHAE?t=8m38s
Prime and Composite numbers - Check if larger number is prime or not : https://youtu.be/5liC14kBrQ4
Convert repeating and recurring numbers into proper rational number :
You would also like to watch :
1) Vedic maths multiplication of two digit numbers : https://www.youtube.com/watch?v=j4HeP5BOsS4
2) Vedic maths multiplication of three digit numbers : https://www.youtube.com/watch?v=-2HHxWf69ys
3) Vedic math multiplication using base method (for 2, 3, 4 digit numbers) -: https://www.youtube.com/watch?v=n-vSvmAfKpA
4) Vedic math multiplication for series 11…. : https://www.youtube.com/watch?v=RdZbrtaKbek
5) Vedic math multiplication for series 999…..: https://www.youtube.com/watch?v=5TEzOOX423k
6) Cube root of a number using Vedic Math : https://www.youtube.com/watch?v=fSbU4Ji46Xw
7) Square root of a number in 5 seconds : https://www.youtube.com/watch?v=AUxbITBX6eY
8) Square of 2 and 3 digit numbers using Vedic Math : https://www.youtube.com/watch?v=0MASDIVQpXk
9) Cube using Vedic Math : https://www.youtube.com/watch?v=J1InAm358NI
You can also see our whole collection of aptitude videos here : https://www.youtube.com/watch?v=AUxbITBX6eY&list;=PLqrRs5DI6ahOAlzlaTPZoyOMnRw2irX5W
If you wish to remain updated with our latest tutorials you can subscribe to our channel : https://www.youtube.com/teammast
What we provide ?
SHORTCUT TRICKS, Square Root of a Number, SSC IBPS GATE exam preparation PO competitive exams, competitive exams tricks and tips for IBPS, competitive exam, how to, videos, best, english, all, online, top, interview, bank, tips, cat, tutorials, po, lessons, techniques, maths, classes, prepare, ielts, answers, sbi, reasoning, shortcuts, professional, bank po, ssc, exams, with examples, materials, mba, educational, ibps, IELTS, bank, PO, SBI, RBI, Exams, preparation, maths tricks, English, maths, maths short cuts, preparation for English, gk, maths in Hindi, questions, study tips, how to crack, general science, reasoning tricks, clerk exam preparation, po preparation, simplification, BODMAS rule, quantitative aptitude, solved questions, MBA, MAT, CAT, IIFT, IGNOU, hotel management, SSC, SSC combined preliminary exam, sub-inspector of police, CBI, CPO, Railway Recruitment Board, Campus Recruitment Tests, answers, si, how to, best, English preparation, question papers, computer awareness, coaching, arithmetic, aptitude tricks, average, banking, course, classes, data interpretation tricks, exam tricks, English tips, English tricks, guide, general awareness, interview tips, interview questions, it officer, ibps lectures, mock test, model papers, materials, numerical ability, non verbal reasoning, number series, numerical ability shortcuts, online, online exam, online demo, exam pattern, po
If you had any of these queries -:
number system
number system in mathematics
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number system in mathematics questions
number system in mathematics tutorial
what is a composite number
what is a prime number
what is a rational number
what is a irrational number
what is natural number
what are integers
what is whole number
If you had any of these queries -:
prime numbers
check if prime number
check if number is prime
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number system basics
Boom..!! You have landed to the perfect place. This video will guide you as per you needed.
- published: 22 Aug 2015
- views: 20051
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles.
For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart
For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart
- published: 21 Nov 2013
- views: 42727
Natural number and Whole number, meaning and difference with example
- published: 04 Nov 2016
- views: 2971
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
More links & stuff in full description below ↓↓↓
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
MORE: http://youtu.be/0Oazb7IWzbA
NY Times article on this: http://nyti.ms/1iftqSv
Tony Padilla and Ed Copeland are physicists at the University of Nottingham.
They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols
Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
- published: 09 Jan 2014
- views: 5437086
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's the only difference, oh, oh
0, 1, 2, 3, and so on
Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on
Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
What about 4? It's a natural number so it's also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It's just rational
What about 0? It's whole, integer, and rational
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
-----
Song and video by Colin Dodds
- published: 05 Dec 2011
- views: 409388
Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country"). In common language, words used for counting are "cardinal numbers" and words used for ordering are "ordinal numbers".
Some authors begin the natural numbers with 0, corresponding to the non-negative integers 0, 1, 2, 3, …, whereas others start with 1, corresponding to the positive integers 1, 2, 3, …. Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, but in other writings, that term is used instead for the integers (including negative integers).
The natural numbers are the basis from which many other number sets may be built by extension: the integers, by including an additive inverse (-n) for each natural number n (and zero, if it is not there already, as its own additive inverse); the rational numbers, by including a multiplicative inverse (1/n) for each integer number n; the real numbers by including with the rationals the (converging) Cauchy sequences of rationals; the complex numbers, by including with the real numbers the unresolved square root of minus one; and so on. These chains of extensions make the natural numbers canonically embedded (identified) in the other number systems.
This page contains text from Wikipedia, the Free Encyclopedia -
https://wn.com/Natural_number
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
Number
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, and so forth. A notational symbol that represents a number is called a numeral. In addition to their use in counting and measuring, numerals are often used for labels (as with telephone numbers), for ordering (as with serial numbers), and for codes (as with ISBNs). In common usage, the term number may refer to a symbol, a word, or a mathematical abstraction.
In mathematics, the notion of number has been extended over the centuries to include 0, negative numbers, rational numbers such as 
and 
, real numbers such as 
and 
, complex numbers, which extend the real numbers by including 
, and sometimes additional objects. Calculations with numbers are done with arithmetical operations, the most familiar being addition, subtraction, multiplication, division, and exponentiation. Their study or usage is called arithmetic. The same term may also refer to number theory, the study of the properties of the natural numbers.
This page contains text from Wikipedia, the Free Encyclopedia -
https://wn.com/Number
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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5:18Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
Types of Numbers 1 : Natural Numbers, Whole Numbers, IntegersTypes of Numbers 1 : Natural Numbers, Whole Numbers, Integers
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or subscribe to : https://www.youtube.com/MathsSmart -
6:02Natural numbers | what are natural numbers ( learn with examples)
Natural numbers | what are natural numbers ( learn with examples)Natural numbers | what are natural numbers ( learn with examples)
What are natural numbers We learn natural numbers by taking help of counting. Look around you, you will find so many things now count those things. You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers. So we can define natural numbers as the numbers which are used while counting are called as natural numbers. Now we take few examples 1, 34, 4678, 2100, 24045 are all natural numbers And 0, -1, -234, 4.99, 3/4 , all are not natural numbers. SSSS KK KK IIIIIIIIIIIIIIIII LL SS SS KK KK III LL SS SS KK KK III LL SS KK KK III LL SS KK KK III LL SS KKKK III LL SS KK KK III LL SS KK KK III LL SS SS KK KK III LL SS SS KK KK III LL SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL AA SSSS CCCC AAAA SS SS CC CC AA AA SS SS CC CC AA AA SS CC AA AA SS CC AA AA SS CC AAAAAAAAA SS CC AAAAAAAAAA SS CC AA AA SS SS CC CC AA AA SS SS CC CC AA AA SSSS CCCC -
3:44Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers. Need More Algebra Help? I highly recommend this book. http://amzn.to/1EApcPp Donate http://bit.ly/19AHMvX -
28:21Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindiNumber System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics: 1. Natural numbers 2. Integers 3. Rational numbers 4. Irrational numbers 5. Real Numbers & real line 6. XY-plane and plotting of any point on xy-plane soon we will upload next lecture. For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp) For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal" -
9:39Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MASTRational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers explained in a manner that after viewing it once you won't ever forget for lifetime. I have maintained a sequential order of discussing the various categories of number system. You can easily switch to any part of video by clicking on the below links. To directly jump to Natural Numbers : https://youtu.be/qiOK4vwpHAE?t=44s To directly jump to Whole Numbers: https://youtu.be/qiOK4vwpHAE?t=1m23s To directly jump to Integers : https://youtu.be/qiOK4vwpHAE?t=2m07s To directly jump to Rational Numbers : https://youtu.be/qiOK4vwpHAE?t=3m30s To directly jump to Irrational Numbers : https://youtu.be/qiOK4vwpHAE?t=5m18s To directly jump to Prime Numbers : https://youtu.be/qiOK4vwpHAE?t=8m29s To directly jump to Composite Numbers : https://youtu.be/qiOK4vwpHAE?t=8m38s Prime and Composite numbers - Check if larger number is prime or not : https://youtu.be/5liC14kBrQ4 Convert repeating and recurring numbers into proper rational number : You would also like to watch : 1) Vedic maths multiplication of two digit numbers : https://www.youtube.com/watch?v=j4HeP5BOsS4 2) Vedic maths multiplication of three digit numbers : https://www.youtube.com/watch?v=-2HHxWf69ys 3) Vedic math multiplication using base method (for 2, 3, 4 digit numbers) -: https://www.youtube.com/watch?v=n-vSvmAfKpA 4) Vedic math multiplication for series 11…. : https://www.youtube.com/watch?v=RdZbrtaKbek 5) Vedic math multiplication for series 999…..: https://www.youtube.com/watch?v=5TEzOOX423k 6) Cube root of a number using Vedic Math : https://www.youtube.com/watch?v=fSbU4Ji46Xw 7) Square root of a number in 5 seconds : https://www.youtube.com/watch?v=AUxbITBX6eY 8) Square of 2 and 3 digit numbers using Vedic Math : https://www.youtube.com/watch?v=0MASDIVQpXk 9) Cube using Vedic Math : https://www.youtube.com/watch?v=J1InAm358NI You can also see our whole collection of aptitude videos here : https://www.youtube.com/watch?v=AUxbITBX6eY&list;=PLqrRs5DI6ahOAlzlaTPZoyOMnRw2irX5W If you wish to remain updated with our latest tutorials you can subscribe to our channel : https://www.youtube.com/teammast What we provide ? SHORTCUT TRICKS, Square Root of a Number, SSC IBPS GATE exam preparation PO competitive exams, competitive exams tricks and tips for IBPS, competitive exam, how to, videos, best, english, all, online, top, interview, bank, tips, cat, tutorials, po, lessons, techniques, maths, classes, prepare, ielts, answers, sbi, reasoning, shortcuts, professional, bank po, ssc, exams, with examples, materials, mba, educational, ibps, IELTS, bank, PO, SBI, RBI, Exams, preparation, maths tricks, English, maths, maths short cuts, preparation for English, gk, maths in Hindi, questions, study tips, how to crack, general science, reasoning tricks, clerk exam preparation, po preparation, simplification, BODMAS rule, quantitative aptitude, solved questions, MBA, MAT, CAT, IIFT, IGNOU, hotel management, SSC, SSC combined preliminary exam, sub-inspector of police, CBI, CPO, Railway Recruitment Board, Campus Recruitment Tests, answers, si, how to, best, English preparation, question papers, computer awareness, coaching, arithmetic, aptitude tricks, average, banking, course, classes, data interpretation tricks, exam tricks, English tips, English tricks, guide, general awareness, interview tips, interview questions, it officer, ibps lectures, mock test, model papers, materials, numerical ability, non verbal reasoning, number series, numerical ability shortcuts, online, online exam, online demo, exam pattern, po If you had any of these queries -: number system number system in mathematics number system in mathematics ppt number system in mathematics questions number system in mathematics tutorial what is a composite number what is a prime number what is a rational number what is a irrational number what is natural number what are integers what is whole number If you had any of these queries -: prime numbers check if prime number check if number is prime check if number is prime or not algorithm to check if number is prime or not trick to check if a number is prime how to tell if a number is prime or not prime number logic how to check if larger number is prime or composite what is composite number what is a prime number prime number definition definition of prime number prime and composite numbers how to check a number is prime or not how to test a prime number number system aptitude tricks number system tutorial for cat number system aptitude tricks for bank exams number system aptitude tricks for ssc number system aptitude tricks for gre number system for ssc cgl number system for bank po number system aptitude tricks for gate number system basics Boom..!! You have landed to the perfect place. This video will guide you as per you needed. -
8:11Sum of first n natural numbers - Derivation of a formula
Sum of first n natural numbers - Derivation of a formulaSum of first n natural numbers - Derivation of a formula
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles. For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart -
3:53Natural number and Whole number, meaning and difference with example
Natural number and Whole number, meaning and difference with exampleNatural number and Whole number, meaning and difference with example
Natural number and Whole number, meaning and difference with example -
7:50ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help More links & stuff in full description below ↓↓↓ EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse The sum of all natural numbers (from 1 to infinity) produces an "astounding" result. ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk MORE: http://youtu.be/0Oazb7IWzbA NY Times article on this: http://nyti.ms/1iftqSv Tony Padilla and Ed Copeland are physicists at the University of Nottingham. They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4 Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile -
2:36Colin Dodds - Number Types (Math Song)
Colin Dodds - Number Types (Math Song)Colin Dodds - Number Types (Math Song)
Natural numbers are naturally Numbers you count on your hands and your feet 1, 2, 3, 4, 5, 6, and so on Whole numbers are natural numbers plus zero That's the only difference, oh, oh 0, 1, 2, 3, and so on Integers are whole numbers plus negatives They look a little bit like this -2, -1, 0, 1, and so on Last but not least, not to be outdone Rational numbers are integers plus fractions Like -3, 1/2, 5/8 and 14.2 All natural numbers are whole numbers All whole numbers are integers All integers are rational numbers Now listen to that drummer! What about 4? It's a natural number so it's also whole, integer, and rational What about -2? Integer and rational What about 1.5? It's just rational What about 0? It's whole, integer, and rational All natural numbers are whole numbers All whole numbers are integers All integers are rational numbers Now listen to that drummer! ----- Song and video by Colin Dodds -
3:56The number e is everywhere
The number e is everywhere
-
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or subscribe to : https://www.youtube.com/MathsSmart
published: 26 Jun 2014 -
Natural numbers | what are natural numbers ( learn with examples)
What are natural numbers We learn natural numbers by taking help of counting. Look around you, you will find so many things now count those things. You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers. So we can define natural numbers as the numbers which are used while counting are called as natural numbers. Now we take few examples 1, 34, 4678, 2100, 24045 are all natural numbers And 0, -1, -234, 4.99, 3/4 , all are not natural numbers. SSSS KK KK IIIIIIIIIIIIIIIII LL SS SS KK KK III LL SS ...
published: 19 Jun 2014 -
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers. Need More Algebra Help? I highly recommend this book. http://amzn.to/1EApcPp Donate http://bit.ly/19AHMvX
published: 14 Oct 2012 -
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics: 1. Natural numbers 2. Integers 3. Rational numbers 4. Irrational numbers 5. Real Numbers & real line 6. XY-plane and plotting of any point on xy-plane soon we will upload next lecture. For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp) For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
published: 27 Jun 2016 -
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers explained in a manner that after viewing it once you won't ever forget for lifetime. I have maintained a sequential order of discussing the various categories of number system. You can easily switch to any part of video by clicking on the below links. To directly jump to Natural Numbers : https://youtu.be/qiOK4vwpHAE?t=44s To directly jump to Whole Numbers: https://youtu.be/qiOK4vwpHAE?t=1m23s To directly jump to Integers : https://youtu.be/qiOK4vwpHAE?t=2m07s To directly jump to Rational Numbers : https://youtu.be/qiOK4vwpHAE?t=3m30s To directly jump to Irrational Numbers : https://youtu.be/qiOK4vwpHAE?t=5m18s To directly ju...
published: 22 Aug 2015 -
Sum of first n natural numbers - Derivation of a formula
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles. For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart
published: 21 Nov 2013 -
Natural number and Whole number, meaning and difference with example
Natural number and Whole number, meaning and difference with example
published: 04 Nov 2016 -
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help More links & stuff in full description below ↓↓↓ EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse The sum of all natural numbers (from 1 to infinity) produces an "astounding" result. ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk MORE: http://youtu.be/0Oazb7IWzbA NY Times article on this: http://nyti.ms/1iftqSv Tony Padilla and Ed Copeland are physicists at the University of Nottingham. They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4 Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series We also here that Chapter XIII of Konrad Knopp's book, "Theory and ...
published: 09 Jan 2014 -
Colin Dodds - Number Types (Math Song)
Natural numbers are naturally Numbers you count on your hands and your feet 1, 2, 3, 4, 5, 6, and so on Whole numbers are natural numbers plus zero That's the only difference, oh, oh 0, 1, 2, 3, and so on Integers are whole numbers plus negatives They look a little bit like this -2, -1, 0, 1, and so on Last but not least, not to be outdone Rational numbers are integers plus fractions Like -3, 1/2, 5/8 and 14.2 All natural numbers are whole numbers All whole numbers are integers All integers are rational numbers Now listen to that drummer! What about 4? It's a natural number so it's also whole, integer, and rational What about -2? Integer and rational What about 1.5? It's just rational What about 0? It's whole, integer, and rational All natural numbers are wh...
published: 05 Dec 2011 -
The number e is everywhere
How many examples of e being everywhere can I explain in 3 minutes? See my other videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/. Click of this link for more information, additional exercises etc. http://www.heyman.com.au/e%20is%20everywhere.pdf
published: 22 Jun 2013
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
- Order: Reorder
- Duration: 5:18
- Updated: 26 Jun 2014
- views: 39469
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or sub...
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or subscribe to : https://www.youtube.com/MathsSmart
https://wn.com/Types_Of_Numbers_1_Natural_Numbers,_Whole_Numbers,_Integers
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or subscribe to : https://www.youtube.com/MathsSmart
- published: 26 Jun 2014
- views: 39469
Natural numbers | what are natural numbers ( learn with examples)
- Order: Reorder
- Duration: 6:02
- Updated: 19 Jun 2014
- views: 12799
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will co...
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers.
So we can define natural numbers as the numbers which are used while counting are called as natural numbers.
Now we take few examples
1, 34, 4678, 2100, 24045 are all natural numbers
And
0, -1, -234, 4.99, 3/4 , all are not natural numbers.
SSSS KK KK IIIIIIIIIIIIIIIII LL
SS SS KK KK III LL
SS SS KK KK III LL
SS KK KK III LL
SS KK KK III LL
SS KKKK III LL
SS KK KK III LL
SS KK KK III LL
SS SS KK KK III LL
SS SS KK KK III LL
SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL
AA SSSS CCCC
AAAA SS SS CC CC
AA AA SS SS CC CC
AA AA SS CC
AA AA SS CC
AA AA SS CC
AAAAAAAAA SS CC
AAAAAAAAAA SS CC
AA AA SS SS CC CC
AA AA SS SS CC CC
AA AA SSSS CCCC
https://wn.com/Natural_Numbers_|_What_Are_Natural_Numbers_(_Learn_With_Examples)
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers.
So we can define natural numbers as the numbers which are used while counting are called as natural numbers.
Now we take few examples
1, 34, 4678, 2100, 24045 are all natural numbers
And
0, -1, -234, 4.99, 3/4 , all are not natural numbers.
SSSS KK KK IIIIIIIIIIIIIIIII LL
SS SS KK KK III LL
SS SS KK KK III LL
SS KK KK III LL
SS KK KK III LL
SS KKKK III LL
SS KK KK III LL
SS KK KK III LL
SS SS KK KK III LL
SS SS KK KK III LL
SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL
AA SSSS CCCC
AAAA SS SS CC CC
AA AA SS SS CC CC
AA AA SS CC
AA AA SS CC
AA AA SS CC
AAAAAAAAA SS CC
AAAAAAAAAA SS CC
AA AA SS SS CC CC
AA AA SS SS CC CC
AA AA SSSS CCCC
- published: 19 Jun 2014
- views: 12799
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
- Order: Reorder
- Duration: 3:44
- Updated: 14 Oct 2012
- views: 66540
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers.
Need More Algebra Help? I highly r...
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers.
Need More Algebra Help? I highly recommend this book. http://amzn.to/1EApcPp
Donate http://bit.ly/19AHMvX
https://wn.com/Natural_Numbers,_Whole_Numbers,_And_Integers_,_Intermediate_Algebra_,_Lesson_1
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
- Order: Reorder
- Duration: 28:21
- Updated: 27 Jun 2016
- views: 34295
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th unders...
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics:
1. Natural numbers
2. Integers
3. Rational numbers
4. Irrational numbers
5. Real Numbers & real line
6. XY-plane and plotting of any point on xy-plane
soon we will upload next lecture.
For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp)
For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
https://wn.com/Number_System,_Natural,_Integer,_Rational,_Irrational,_Real_Line_Xy_Plane_In_Hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics:
1. Natural numbers
2. Integers
3. Rational numbers
4. Irrational numbers
5. Real Numbers & real line
6. XY-plane and plotting of any point on xy-plane
soon we will upload next lecture.
For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp)
For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
- published: 27 Jun 2016
- views: 34295
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
- Order: Reorder
- Duration: 9:39
- Updated: 22 Aug 2015
- views: 20051
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers expl...
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers explained in a manner that after viewing it once you won't ever forget for lifetime.
I have maintained a sequential order of discussing the various categories of number system. You can easily switch to any part of video by clicking on the below links.
To directly jump to Natural Numbers : https://youtu.be/qiOK4vwpHAE?t=44s
To directly jump to Whole Numbers: https://youtu.be/qiOK4vwpHAE?t=1m23s
To directly jump to Integers : https://youtu.be/qiOK4vwpHAE?t=2m07s
To directly jump to Rational Numbers : https://youtu.be/qiOK4vwpHAE?t=3m30s
To directly jump to Irrational Numbers : https://youtu.be/qiOK4vwpHAE?t=5m18s
To directly jump to Prime Numbers : https://youtu.be/qiOK4vwpHAE?t=8m29s
To directly jump to Composite Numbers : https://youtu.be/qiOK4vwpHAE?t=8m38s
Prime and Composite numbers - Check if larger number is prime or not : https://youtu.be/5liC14kBrQ4
Convert repeating and recurring numbers into proper rational number :
You would also like to watch :
1) Vedic maths multiplication of two digit numbers : https://www.youtube.com/watch?v=j4HeP5BOsS4
2) Vedic maths multiplication of three digit numbers : https://www.youtube.com/watch?v=-2HHxWf69ys
3) Vedic math multiplication using base method (for 2, 3, 4 digit numbers) -: https://www.youtube.com/watch?v=n-vSvmAfKpA
4) Vedic math multiplication for series 11…. : https://www.youtube.com/watch?v=RdZbrtaKbek
5) Vedic math multiplication for series 999…..: https://www.youtube.com/watch?v=5TEzOOX423k
6) Cube root of a number using Vedic Math : https://www.youtube.com/watch?v=fSbU4Ji46Xw
7) Square root of a number in 5 seconds : https://www.youtube.com/watch?v=AUxbITBX6eY
8) Square of 2 and 3 digit numbers using Vedic Math : https://www.youtube.com/watch?v=0MASDIVQpXk
9) Cube using Vedic Math : https://www.youtube.com/watch?v=J1InAm358NI
You can also see our whole collection of aptitude videos here : https://www.youtube.com/watch?v=AUxbITBX6eY&list;=PLqrRs5DI6ahOAlzlaTPZoyOMnRw2irX5W
If you wish to remain updated with our latest tutorials you can subscribe to our channel : https://www.youtube.com/teammast
What we provide ?
SHORTCUT TRICKS, Square Root of a Number, SSC IBPS GATE exam preparation PO competitive exams, competitive exams tricks and tips for IBPS, competitive exam, how to, videos, best, english, all, online, top, interview, bank, tips, cat, tutorials, po, lessons, techniques, maths, classes, prepare, ielts, answers, sbi, reasoning, shortcuts, professional, bank po, ssc, exams, with examples, materials, mba, educational, ibps, IELTS, bank, PO, SBI, RBI, Exams, preparation, maths tricks, English, maths, maths short cuts, preparation for English, gk, maths in Hindi, questions, study tips, how to crack, general science, reasoning tricks, clerk exam preparation, po preparation, simplification, BODMAS rule, quantitative aptitude, solved questions, MBA, MAT, CAT, IIFT, IGNOU, hotel management, SSC, SSC combined preliminary exam, sub-inspector of police, CBI, CPO, Railway Recruitment Board, Campus Recruitment Tests, answers, si, how to, best, English preparation, question papers, computer awareness, coaching, arithmetic, aptitude tricks, average, banking, course, classes, data interpretation tricks, exam tricks, English tips, English tricks, guide, general awareness, interview tips, interview questions, it officer, ibps lectures, mock test, model papers, materials, numerical ability, non verbal reasoning, number series, numerical ability shortcuts, online, online exam, online demo, exam pattern, po
If you had any of these queries -:
number system
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what is a composite number
what is a prime number
what is a rational number
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If you had any of these queries -:
prime numbers
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Boom..!! You have landed to the perfect place. This video will guide you as per you needed.
https://wn.com/Rational,_Irrational,_Prime,_Composite,_Natural,_Whole_Numbers,_Integers_Number_System_|_Team_Mast
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers explained in a manner that after viewing it once you won't ever forget for lifetime.
I have maintained a sequential order of discussing the various categories of number system. You can easily switch to any part of video by clicking on the below links.
To directly jump to Natural Numbers : https://youtu.be/qiOK4vwpHAE?t=44s
To directly jump to Whole Numbers: https://youtu.be/qiOK4vwpHAE?t=1m23s
To directly jump to Integers : https://youtu.be/qiOK4vwpHAE?t=2m07s
To directly jump to Rational Numbers : https://youtu.be/qiOK4vwpHAE?t=3m30s
To directly jump to Irrational Numbers : https://youtu.be/qiOK4vwpHAE?t=5m18s
To directly jump to Prime Numbers : https://youtu.be/qiOK4vwpHAE?t=8m29s
To directly jump to Composite Numbers : https://youtu.be/qiOK4vwpHAE?t=8m38s
Prime and Composite numbers - Check if larger number is prime or not : https://youtu.be/5liC14kBrQ4
Convert repeating and recurring numbers into proper rational number :
You would also like to watch :
1) Vedic maths multiplication of two digit numbers : https://www.youtube.com/watch?v=j4HeP5BOsS4
2) Vedic maths multiplication of three digit numbers : https://www.youtube.com/watch?v=-2HHxWf69ys
3) Vedic math multiplication using base method (for 2, 3, 4 digit numbers) -: https://www.youtube.com/watch?v=n-vSvmAfKpA
4) Vedic math multiplication for series 11…. : https://www.youtube.com/watch?v=RdZbrtaKbek
5) Vedic math multiplication for series 999…..: https://www.youtube.com/watch?v=5TEzOOX423k
6) Cube root of a number using Vedic Math : https://www.youtube.com/watch?v=fSbU4Ji46Xw
7) Square root of a number in 5 seconds : https://www.youtube.com/watch?v=AUxbITBX6eY
8) Square of 2 and 3 digit numbers using Vedic Math : https://www.youtube.com/watch?v=0MASDIVQpXk
9) Cube using Vedic Math : https://www.youtube.com/watch?v=J1InAm358NI
You can also see our whole collection of aptitude videos here : https://www.youtube.com/watch?v=AUxbITBX6eY&list;=PLqrRs5DI6ahOAlzlaTPZoyOMnRw2irX5W
If you wish to remain updated with our latest tutorials you can subscribe to our channel : https://www.youtube.com/teammast
What we provide ?
SHORTCUT TRICKS, Square Root of a Number, SSC IBPS GATE exam preparation PO competitive exams, competitive exams tricks and tips for IBPS, competitive exam, how to, videos, best, english, all, online, top, interview, bank, tips, cat, tutorials, po, lessons, techniques, maths, classes, prepare, ielts, answers, sbi, reasoning, shortcuts, professional, bank po, ssc, exams, with examples, materials, mba, educational, ibps, IELTS, bank, PO, SBI, RBI, Exams, preparation, maths tricks, English, maths, maths short cuts, preparation for English, gk, maths in Hindi, questions, study tips, how to crack, general science, reasoning tricks, clerk exam preparation, po preparation, simplification, BODMAS rule, quantitative aptitude, solved questions, MBA, MAT, CAT, IIFT, IGNOU, hotel management, SSC, SSC combined preliminary exam, sub-inspector of police, CBI, CPO, Railway Recruitment Board, Campus Recruitment Tests, answers, si, how to, best, English preparation, question papers, computer awareness, coaching, arithmetic, aptitude tricks, average, banking, course, classes, data interpretation tricks, exam tricks, English tips, English tricks, guide, general awareness, interview tips, interview questions, it officer, ibps lectures, mock test, model papers, materials, numerical ability, non verbal reasoning, number series, numerical ability shortcuts, online, online exam, online demo, exam pattern, po
If you had any of these queries -:
number system
number system in mathematics
number system in mathematics ppt
number system in mathematics questions
number system in mathematics tutorial
what is a composite number
what is a prime number
what is a rational number
what is a irrational number
what is natural number
what are integers
what is whole number
If you had any of these queries -:
prime numbers
check if prime number
check if number is prime
check if number is prime or not
algorithm to check if number is prime or not
trick to check if a number is prime
how to tell if a number is prime or not
prime number logic
how to check if larger number is prime or composite
what is composite number
what is a prime number
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prime and composite numbers
how to check a number is prime or not
how to test a prime number
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Boom..!! You have landed to the perfect place. This video will guide you as per you needed.
- published: 22 Aug 2015
- views: 20051
Sum of first n natural numbers - Derivation of a formula
- Order: Reorder
- Duration: 8:11
- Updated: 21 Nov 2013
- views: 42727
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few vi...
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles.
For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart
For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart
https://wn.com/Sum_Of_First_N_Natural_Numbers_Derivation_Of_A_Formula
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles.
For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart
For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart
- published: 21 Nov 2013
- views: 42727
Natural number and Whole number, meaning and difference with example
- Order: Reorder
- Duration: 3:53
- Updated: 04 Nov 2016
- views: 2971
Natural number and Whole number, meaning and difference with example
- published: 04 Nov 2016
- views: 2971
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
- Order: Reorder
- Duration: 7:50
- Updated: 09 Jan 2014
- views: 5437086
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
More links & stuff in full description below ↓↓↓
EXTRA ARTICLE BY TONY...
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
More links & stuff in full description below ↓↓↓
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
MORE: http://youtu.be/0Oazb7IWzbA
NY Times article on this: http://nyti.ms/1iftqSv
Tony Padilla and Ed Copeland are physicists at the University of Nottingham.
They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols
Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
https://wn.com/Astounding_1_2_3_4_5_..._1_12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
More links & stuff in full description below ↓↓↓
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
MORE: http://youtu.be/0Oazb7IWzbA
NY Times article on this: http://nyti.ms/1iftqSv
Tony Padilla and Ed Copeland are physicists at the University of Nottingham.
They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols
Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
- published: 09 Jan 2014
- views: 5437086
Colin Dodds - Number Types (Math Song)
- Order: Reorder
- Duration: 2:36
- Updated: 05 Dec 2011
- views: 409388
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's...
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's the only difference, oh, oh
0, 1, 2, 3, and so on
Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on
Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
What about 4? It's a natural number so it's also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It's just rational
What about 0? It's whole, integer, and rational
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
-----
Song and video by Colin Dodds
https://wn.com/Colin_Dodds_Number_Types_(Math_Song)
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's the only difference, oh, oh
0, 1, 2, 3, and so on
Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on
Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
What about 4? It's a natural number so it's also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It's just rational
What about 0? It's whole, integer, and rational
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
-----
Song and video by Colin Dodds
- published: 05 Dec 2011
- views: 409388
The number e is everywhere
- Order: Reorder
- Duration: 3:56
- Updated: 22 Jun 2013
- views: 178022
How many examples of e being everywhere can I explain in 3 minutes? See my other videos
https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
Click of this...
How many examples of e being everywhere can I explain in 3 minutes? See my other videos
https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
Click of this link for more information, additional exercises etc.
http://www.heyman.com.au/e%20is%20everywhere.pdf
https://wn.com/The_Number_E_Is_Everywhere
-
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or subscribe to : https://www.youtube.com/MathsSmart
published: 26 Jun 2014 -
Natural numbers | what are natural numbers ( learn with examples)
What are natural numbers We learn natural numbers by taking help of counting. Look around you, you will find so many things now count those things. You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers. So we can define natural numbers as the numbers which are used while counting are called as natural numbers. Now we take few examples 1, 34, 4678, 2100, 24045 are all natural numbers And 0, -1, -234, 4.99, 3/4 , all are not natural numbers. SSSS KK KK IIIIIIIIIIIIIIIII LL SS SS KK KK III LL SS ...
published: 19 Jun 2014 -
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers. Need More Algebra Help? I highly recommend this book. http://amzn.to/1EApcPp Donate http://bit.ly/19AHMvX
published: 14 Oct 2012 -
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics: 1. Natural numbers 2. Integers 3. Rational numbers 4. Irrational numbers 5. Real Numbers & real line 6. XY-plane and plotting of any point on xy-plane soon we will upload next lecture. For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp) For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
published: 27 Jun 2016 -
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers explained in a manner that after viewing it once you won't ever forget for lifetime. I have maintained a sequential order of discussing the various categories of number system. You can easily switch to any part of video by clicking on the below links. To directly jump to Natural Numbers : https://youtu.be/qiOK4vwpHAE?t=44s To directly jump to Whole Numbers: https://youtu.be/qiOK4vwpHAE?t=1m23s To directly jump to Integers : https://youtu.be/qiOK4vwpHAE?t=2m07s To directly jump to Rational Numbers : https://youtu.be/qiOK4vwpHAE?t=3m30s To directly jump to Irrational Numbers : https://youtu.be/qiOK4vwpHAE?t=5m18s To directly ju...
published: 22 Aug 2015 -
Sum of first n natural numbers - Derivation of a formula
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles. For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart
published: 21 Nov 2013 -
Natural number and Whole number, meaning and difference with example
Natural number and Whole number, meaning and difference with example
published: 04 Nov 2016 -
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help More links & stuff in full description below ↓↓↓ EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse The sum of all natural numbers (from 1 to infinity) produces an "astounding" result. ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk MORE: http://youtu.be/0Oazb7IWzbA NY Times article on this: http://nyti.ms/1iftqSv Tony Padilla and Ed Copeland are physicists at the University of Nottingham. They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4 Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series We also here that Chapter XIII of Konrad Knopp's book, "Theory and ...
published: 09 Jan 2014 -
Colin Dodds - Number Types (Math Song)
Natural numbers are naturally Numbers you count on your hands and your feet 1, 2, 3, 4, 5, 6, and so on Whole numbers are natural numbers plus zero That's the only difference, oh, oh 0, 1, 2, 3, and so on Integers are whole numbers plus negatives They look a little bit like this -2, -1, 0, 1, and so on Last but not least, not to be outdone Rational numbers are integers plus fractions Like -3, 1/2, 5/8 and 14.2 All natural numbers are whole numbers All whole numbers are integers All integers are rational numbers Now listen to that drummer! What about 4? It's a natural number so it's also whole, integer, and rational What about -2? Integer and rational What about 1.5? It's just rational What about 0? It's whole, integer, and rational All natural numbers are wh...
published: 05 Dec 2011 -
The number e is everywhere
How many examples of e being everywhere can I explain in 3 minutes? See my other videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/. Click of this link for more information, additional exercises etc. http://www.heyman.com.au/e%20is%20everywhere.pdf
published: 22 Jun 2013
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
- Order: Reorder
- Duration: 5:18
- Updated: 26 Jun 2014
- views: 39469
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or sub...
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or subscribe to : https://www.youtube.com/MathsSmart
https://wn.com/Types_Of_Numbers_1_Natural_Numbers,_Whole_Numbers,_Integers
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For more videos on this topic and many more interesting topics Visit or subscribe to : https://www.youtube.com/MathsSmart
- published: 26 Jun 2014
- views: 39469
Natural numbers | what are natural numbers ( learn with examples)
- Order: Reorder
- Duration: 6:02
- Updated: 19 Jun 2014
- views: 12799
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will co...
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers.
So we can define natural numbers as the numbers which are used while counting are called as natural numbers.
Now we take few examples
1, 34, 4678, 2100, 24045 are all natural numbers
And
0, -1, -234, 4.99, 3/4 , all are not natural numbers.
SSSS KK KK IIIIIIIIIIIIIIIII LL
SS SS KK KK III LL
SS SS KK KK III LL
SS KK KK III LL
SS KK KK III LL
SS KKKK III LL
SS KK KK III LL
SS KK KK III LL
SS SS KK KK III LL
SS SS KK KK III LL
SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL
AA SSSS CCCC
AAAA SS SS CC CC
AA AA SS SS CC CC
AA AA SS CC
AA AA SS CC
AA AA SS CC
AAAAAAAAA SS CC
AAAAAAAAAA SS CC
AA AA SS SS CC CC
AA AA SS SS CC CC
AA AA SSSS CCCC
https://wn.com/Natural_Numbers_|_What_Are_Natural_Numbers_(_Learn_With_Examples)
What are natural numbers
We learn natural numbers by taking help of counting.
Look around you, you will find so many things now count those things.
You will count as 1 2 3 4 5 6 7 8 9 10..... and so on. Now look at the numbers which you used while counting you used 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....and so on. These numbers help us while counting. And these numbers are natural numbers.
So we can define natural numbers as the numbers which are used while counting are called as natural numbers.
Now we take few examples
1, 34, 4678, 2100, 24045 are all natural numbers
And
0, -1, -234, 4.99, 3/4 , all are not natural numbers.
SSSS KK KK IIIIIIIIIIIIIIIII LL
SS SS KK KK III LL
SS SS KK KK III LL
SS KK KK III LL
SS KK KK III LL
SS KKKK III LL
SS KK KK III LL
SS KK KK III LL
SS SS KK KK III LL
SS SS KK KK III LL
SSSS KK KK IIIIIIIIIIIIIIII LLLLLLLLLL
AA SSSS CCCC
AAAA SS SS CC CC
AA AA SS SS CC CC
AA AA SS CC
AA AA SS CC
AA AA SS CC
AAAAAAAAA SS CC
AAAAAAAAAA SS CC
AA AA SS SS CC CC
AA AA SS SS CC CC
AA AA SSSS CCCC
- published: 19 Jun 2014
- views: 12799
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
- Order: Reorder
- Duration: 3:44
- Updated: 14 Oct 2012
- views: 66540
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers.
Need More Algebra Help? I highly r...
This tutorial introduces the concept of a number line and uses it to represent natural numbers, whole numbers, and integers.
Need More Algebra Help? I highly recommend this book. http://amzn.to/1EApcPp
Donate http://bit.ly/19AHMvX
https://wn.com/Natural_Numbers,_Whole_Numbers,_And_Integers_,_Intermediate_Algebra_,_Lesson_1
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
- Order: Reorder
- Duration: 28:21
- Updated: 27 Jun 2016
- views: 34295
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th unders...
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics:
1. Natural numbers
2. Integers
3. Rational numbers
4. Irrational numbers
5. Real Numbers & real line
6. XY-plane and plotting of any point on xy-plane
soon we will upload next lecture.
For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp)
For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
https://wn.com/Number_System,_Natural,_Integer,_Rational,_Irrational,_Real_Line_Xy_Plane_In_Hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics:
1. Natural numbers
2. Integers
3. Rational numbers
4. Irrational numbers
5. Real Numbers & real line
6. XY-plane and plotting of any point on xy-plane
soon we will upload next lecture.
For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp)
For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
- published: 27 Jun 2016
- views: 34295
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
- Order: Reorder
- Duration: 9:39
- Updated: 22 Aug 2015
- views: 20051
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers expl...
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers explained in a manner that after viewing it once you won't ever forget for lifetime.
I have maintained a sequential order of discussing the various categories of number system. You can easily switch to any part of video by clicking on the below links.
To directly jump to Natural Numbers : https://youtu.be/qiOK4vwpHAE?t=44s
To directly jump to Whole Numbers: https://youtu.be/qiOK4vwpHAE?t=1m23s
To directly jump to Integers : https://youtu.be/qiOK4vwpHAE?t=2m07s
To directly jump to Rational Numbers : https://youtu.be/qiOK4vwpHAE?t=3m30s
To directly jump to Irrational Numbers : https://youtu.be/qiOK4vwpHAE?t=5m18s
To directly jump to Prime Numbers : https://youtu.be/qiOK4vwpHAE?t=8m29s
To directly jump to Composite Numbers : https://youtu.be/qiOK4vwpHAE?t=8m38s
Prime and Composite numbers - Check if larger number is prime or not : https://youtu.be/5liC14kBrQ4
Convert repeating and recurring numbers into proper rational number :
You would also like to watch :
1) Vedic maths multiplication of two digit numbers : https://www.youtube.com/watch?v=j4HeP5BOsS4
2) Vedic maths multiplication of three digit numbers : https://www.youtube.com/watch?v=-2HHxWf69ys
3) Vedic math multiplication using base method (for 2, 3, 4 digit numbers) -: https://www.youtube.com/watch?v=n-vSvmAfKpA
4) Vedic math multiplication for series 11…. : https://www.youtube.com/watch?v=RdZbrtaKbek
5) Vedic math multiplication for series 999…..: https://www.youtube.com/watch?v=5TEzOOX423k
6) Cube root of a number using Vedic Math : https://www.youtube.com/watch?v=fSbU4Ji46Xw
7) Square root of a number in 5 seconds : https://www.youtube.com/watch?v=AUxbITBX6eY
8) Square of 2 and 3 digit numbers using Vedic Math : https://www.youtube.com/watch?v=0MASDIVQpXk
9) Cube using Vedic Math : https://www.youtube.com/watch?v=J1InAm358NI
You can also see our whole collection of aptitude videos here : https://www.youtube.com/watch?v=AUxbITBX6eY&list;=PLqrRs5DI6ahOAlzlaTPZoyOMnRw2irX5W
If you wish to remain updated with our latest tutorials you can subscribe to our channel : https://www.youtube.com/teammast
What we provide ?
SHORTCUT TRICKS, Square Root of a Number, SSC IBPS GATE exam preparation PO competitive exams, competitive exams tricks and tips for IBPS, competitive exam, how to, videos, best, english, all, online, top, interview, bank, tips, cat, tutorials, po, lessons, techniques, maths, classes, prepare, ielts, answers, sbi, reasoning, shortcuts, professional, bank po, ssc, exams, with examples, materials, mba, educational, ibps, IELTS, bank, PO, SBI, RBI, Exams, preparation, maths tricks, English, maths, maths short cuts, preparation for English, gk, maths in Hindi, questions, study tips, how to crack, general science, reasoning tricks, clerk exam preparation, po preparation, simplification, BODMAS rule, quantitative aptitude, solved questions, MBA, MAT, CAT, IIFT, IGNOU, hotel management, SSC, SSC combined preliminary exam, sub-inspector of police, CBI, CPO, Railway Recruitment Board, Campus Recruitment Tests, answers, si, how to, best, English preparation, question papers, computer awareness, coaching, arithmetic, aptitude tricks, average, banking, course, classes, data interpretation tricks, exam tricks, English tips, English tricks, guide, general awareness, interview tips, interview questions, it officer, ibps lectures, mock test, model papers, materials, numerical ability, non verbal reasoning, number series, numerical ability shortcuts, online, online exam, online demo, exam pattern, po
If you had any of these queries -:
number system
number system in mathematics
number system in mathematics ppt
number system in mathematics questions
number system in mathematics tutorial
what is a composite number
what is a prime number
what is a rational number
what is a irrational number
what is natural number
what are integers
what is whole number
If you had any of these queries -:
prime numbers
check if prime number
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Boom..!! You have landed to the perfect place. This video will guide you as per you needed.
https://wn.com/Rational,_Irrational,_Prime,_Composite,_Natural,_Whole_Numbers,_Integers_Number_System_|_Team_Mast
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime numbers, Composite numbers, Natural numbers, Whole numbers, Integers explained in a manner that after viewing it once you won't ever forget for lifetime.
I have maintained a sequential order of discussing the various categories of number system. You can easily switch to any part of video by clicking on the below links.
To directly jump to Natural Numbers : https://youtu.be/qiOK4vwpHAE?t=44s
To directly jump to Whole Numbers: https://youtu.be/qiOK4vwpHAE?t=1m23s
To directly jump to Integers : https://youtu.be/qiOK4vwpHAE?t=2m07s
To directly jump to Rational Numbers : https://youtu.be/qiOK4vwpHAE?t=3m30s
To directly jump to Irrational Numbers : https://youtu.be/qiOK4vwpHAE?t=5m18s
To directly jump to Prime Numbers : https://youtu.be/qiOK4vwpHAE?t=8m29s
To directly jump to Composite Numbers : https://youtu.be/qiOK4vwpHAE?t=8m38s
Prime and Composite numbers - Check if larger number is prime or not : https://youtu.be/5liC14kBrQ4
Convert repeating and recurring numbers into proper rational number :
You would also like to watch :
1) Vedic maths multiplication of two digit numbers : https://www.youtube.com/watch?v=j4HeP5BOsS4
2) Vedic maths multiplication of three digit numbers : https://www.youtube.com/watch?v=-2HHxWf69ys
3) Vedic math multiplication using base method (for 2, 3, 4 digit numbers) -: https://www.youtube.com/watch?v=n-vSvmAfKpA
4) Vedic math multiplication for series 11…. : https://www.youtube.com/watch?v=RdZbrtaKbek
5) Vedic math multiplication for series 999…..: https://www.youtube.com/watch?v=5TEzOOX423k
6) Cube root of a number using Vedic Math : https://www.youtube.com/watch?v=fSbU4Ji46Xw
7) Square root of a number in 5 seconds : https://www.youtube.com/watch?v=AUxbITBX6eY
8) Square of 2 and 3 digit numbers using Vedic Math : https://www.youtube.com/watch?v=0MASDIVQpXk
9) Cube using Vedic Math : https://www.youtube.com/watch?v=J1InAm358NI
You can also see our whole collection of aptitude videos here : https://www.youtube.com/watch?v=AUxbITBX6eY&list;=PLqrRs5DI6ahOAlzlaTPZoyOMnRw2irX5W
If you wish to remain updated with our latest tutorials you can subscribe to our channel : https://www.youtube.com/teammast
What we provide ?
SHORTCUT TRICKS, Square Root of a Number, SSC IBPS GATE exam preparation PO competitive exams, competitive exams tricks and tips for IBPS, competitive exam, how to, videos, best, english, all, online, top, interview, bank, tips, cat, tutorials, po, lessons, techniques, maths, classes, prepare, ielts, answers, sbi, reasoning, shortcuts, professional, bank po, ssc, exams, with examples, materials, mba, educational, ibps, IELTS, bank, PO, SBI, RBI, Exams, preparation, maths tricks, English, maths, maths short cuts, preparation for English, gk, maths in Hindi, questions, study tips, how to crack, general science, reasoning tricks, clerk exam preparation, po preparation, simplification, BODMAS rule, quantitative aptitude, solved questions, MBA, MAT, CAT, IIFT, IGNOU, hotel management, SSC, SSC combined preliminary exam, sub-inspector of police, CBI, CPO, Railway Recruitment Board, Campus Recruitment Tests, answers, si, how to, best, English preparation, question papers, computer awareness, coaching, arithmetic, aptitude tricks, average, banking, course, classes, data interpretation tricks, exam tricks, English tips, English tricks, guide, general awareness, interview tips, interview questions, it officer, ibps lectures, mock test, model papers, materials, numerical ability, non verbal reasoning, number series, numerical ability shortcuts, online, online exam, online demo, exam pattern, po
If you had any of these queries -:
number system
number system in mathematics
number system in mathematics ppt
number system in mathematics questions
number system in mathematics tutorial
what is a composite number
what is a prime number
what is a rational number
what is a irrational number
what is natural number
what are integers
what is whole number
If you had any of these queries -:
prime numbers
check if prime number
check if number is prime
check if number is prime or not
algorithm to check if number is prime or not
trick to check if a number is prime
how to tell if a number is prime or not
prime number logic
how to check if larger number is prime or composite
what is composite number
what is a prime number
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definition of prime number
prime and composite numbers
how to check a number is prime or not
how to test a prime number
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number system aptitude tricks for ssc
number system aptitude tricks for gre
number system for ssc cgl
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number system aptitude tricks for gate
number system basics
Boom..!! You have landed to the perfect place. This video will guide you as per you needed.
- published: 22 Aug 2015
- views: 20051
Sum of first n natural numbers - Derivation of a formula
- Order: Reorder
- Duration: 8:11
- Updated: 21 Nov 2013
- views: 42727
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few vi...
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles.
For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart
For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart
https://wn.com/Sum_Of_First_N_Natural_Numbers_Derivation_Of_A_Formula
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles.
For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart
For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart
- published: 21 Nov 2013
- views: 42727
Natural number and Whole number, meaning and difference with example
- Order: Reorder
- Duration: 3:53
- Updated: 04 Nov 2016
- views: 2971
Natural number and Whole number, meaning and difference with example
- published: 04 Nov 2016
- views: 2971
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
- Order: Reorder
- Duration: 7:50
- Updated: 09 Jan 2014
- views: 5437086
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
More links & stuff in full description below ↓↓↓
EXTRA ARTICLE BY TONY...
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
More links & stuff in full description below ↓↓↓
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
MORE: http://youtu.be/0Oazb7IWzbA
NY Times article on this: http://nyti.ms/1iftqSv
Tony Padilla and Ed Copeland are physicists at the University of Nottingham.
They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols
Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
https://wn.com/Astounding_1_2_3_4_5_..._1_12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
More links & stuff in full description below ↓↓↓
EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse
The sum of all natural numbers (from 1 to infinity) produces an "astounding" result.
ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk
MORE: http://youtu.be/0Oazb7IWzbA
NY Times article on this: http://nyti.ms/1iftqSv
Tony Padilla and Ed Copeland are physicists at the University of Nottingham.
They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols
Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4
Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series
We also here that Chapter XIII of Konrad Knopp's book, "Theory and Application of Infinite Sequences and Series", is very good if you can get your hands on it.
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
- published: 09 Jan 2014
- views: 5437086
Colin Dodds - Number Types (Math Song)
- Order: Reorder
- Duration: 2:36
- Updated: 05 Dec 2011
- views: 409388
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's...
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's the only difference, oh, oh
0, 1, 2, 3, and so on
Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on
Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
What about 4? It's a natural number so it's also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It's just rational
What about 0? It's whole, integer, and rational
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
-----
Song and video by Colin Dodds
https://wn.com/Colin_Dodds_Number_Types_(Math_Song)
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on
Whole numbers are natural numbers plus zero
That's the only difference, oh, oh
0, 1, 2, 3, and so on
Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on
Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
What about 4? It's a natural number so it's also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It's just rational
What about 0? It's whole, integer, and rational
All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
-----
Song and video by Colin Dodds
- published: 05 Dec 2011
- views: 409388
The number e is everywhere
- Order: Reorder
- Duration: 3:56
- Updated: 22 Jun 2013
- views: 178022
How many examples of e being everywhere can I explain in 3 minutes? See my other videos
https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
Click of this...
How many examples of e being everywhere can I explain in 3 minutes? See my other videos
https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
Click of this link for more information, additional exercises etc.
http://www.heyman.com.au/e%20is%20everywhere.pdf
https://wn.com/The_Number_E_Is_Everywhere
-
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics: 1. Natural numbers 2. Integers 3. Rational numbers 4. Irrational numbers 5. Real Numbers & real line 6. XY-plane and plotting of any point on xy-plane soon we will upload next lecture. For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp) For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
published: 27 Jun 2016 -
Sum of Natural Numbers (second proof and extra footage)
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww More links & stuff in full description below ↓↓↓ Ed Copeland and Tony Padilla are physicists at the University of Nottingham. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://te...
published: 11 Jan 2015 -
Lesson 1 : Natural numbers
شرح الدرس الاول : الاعداد الطبيعية الصف الخامس الابتدائي للغات Maths for primary 5 لمزيد من الفيديوهات تجدوها علي الرابط : https://www.youtube.com/playlist?list=PLPIhtPrgLUSIpRGiSG0qG9dZgWH9KP1xw للتواصل معنا : 1. قناة اليوتيوب : https://www.youtube.com/math2all 2. صفحة الفيس : https://www.fb.com/maths2all 3. قناة التليجرام : https://telegram.me/maths_5 4. جروب الاستفسارات علي التليجرام : https://telegram.me/joinchat/Ca5P_z7T2VBoSSiJpE-xZQ Mr Shehab
published: 18 Jan 2017 -
Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function. You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg (quite large) You c...
published: 22 Apr 2016 -
MathFoundations156: The realm of natural number multisets
We introduce the realm of natural number multisets Mset(n) for a fixed natural number n. Such msets are k-msets from n, where k is now allowed to be variable. We observe that the realm operations from the natural numbers that we introduced in our last video, namely addition, union and intersection, can now be naturally incorporated into this wider arena, and that the realm laws of arithmetic we discussed apply almost automatically in this set-up. Please consider supporting this Channel bringing you high quality mathematics lectures by becoming a Patron at https://www.patreon.com/njwildberger? Screenshot pdf's for the lectures are available at http://www.wildegg.com/divineproportions-rationaltrig.html My research papers can be found at my Research Gate page, at https://www.researchgate.n...
published: 07 Sep 2015 -
Lesson 2 : Ordering and comparing natural numbers
شرح الدرس الثاني : مقارنة وترتيب الاعداد الطبيعية الصف الخامس الابتدائي للغات Maths for primary 5 لمزيد من الفيديوهات تجدوها علي الرابط : https://www.youtube.com/playlist?list=PLPIhtPrgLUSIpRGiSG0qG9dZgWH9KP1xw للتواصل معنا : 1. قناة اليوتيوب : https://www.youtube.com/math2all 2. صفحة الفيس : https://www.fb.com/maths2all 3. قناة التليجرام : https://telegram.me/maths_5 4. جروب الاستفسارات علي التليجرام : https://telegram.me/joinchat/Ca5P_z7T2VBoSSiJpE-xZQ Mr. Shehab
published: 24 Jan 2017 -
MathFoundations155: The realm of natural numbers
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredient for that theory. We look at natural numbers, together with 0, under three operations: addition, union and intersection. We will somewhat informally at this point refer to this as the `realm' of natural numbers. In this video we lay out some of the rather obvious properties that these three operations satisfy. There are some surprises here: in particular we see an unusual new kind of distributive law which will become the basis for the `tropical calculus'. Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and su...
published: 30 Aug 2015 -
Set Theory (Part 7): Natural Numbers and Induction
Please feel free to leave comments/questions on the video and practice problems below! In this video, I discuss the von Neumann construction of the natural numbers and relate the idea of natural numbers to inductive sets. The axiom of infinity is also introduced here as one of the ZFC axioms.
published: 30 Apr 2015 -
MathFoundations157: The algebra of natural number multisets
We introduce some deceptively simple but important notation to deal with multisets/msets from n, for some natural number n. In particular we augment addition of msets with multiples of an mset, and use that to give a list-theoretic description of the multiplicity of various elements that appear in a given mset. In particular this suggests the possibility of extending multiplicities to have negative, or even rational number values. Both of these ideas will have major consequences as we use data structures to help us structure parts of modern algebra. Please consider supporting this Channel bringing you high quality mathematics lectures by becoming a Patron at https://www.patreon.com/njwildberger? Screenshot pdf's for the lectures are available at http://www.wildegg.com/divineproportions-...
published: 13 Sep 2015 -
Lesson 2 Natural numbers 1 by zkaya
published: 21 Nov 2015
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
- Order: Reorder
- Duration: 28:21
- Updated: 27 Jun 2016
- views: 34295
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th unders...
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics:
1. Natural numbers
2. Integers
3. Rational numbers
4. Irrational numbers
5. Real Numbers & real line
6. XY-plane and plotting of any point on xy-plane
soon we will upload next lecture.
For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp)
For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
https://wn.com/Number_System,_Natural,_Integer,_Rational,_Irrational,_Real_Line_Xy_Plane_In_Hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi" helps the students of higher secondary class th understand the following topics:
1. Natural numbers
2. Integers
3. Rational numbers
4. Irrational numbers
5. Real Numbers & real line
6. XY-plane and plotting of any point on xy-plane
soon we will upload next lecture.
For any query please write us on jaipal.vishwakarma@gmail.com or send message on +919301197409(hike & whattsapp)
For more updates subscribe our channel " Jaipal Vishwakarma" and join our facebook page "Maths Bhopal"
- published: 27 Jun 2016
- views: 34295
Sum of Natural Numbers (second proof and extra footage)
- Order: Reorder
- Duration: 21:06
- Updated: 11 Jan 2015
- views: 1085207
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww
More links & stuff in full description below ↓↓↓
Ed Copeland and Tony Padilla are physicists at the University of...
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww
More links & stuff in full description below ↓↓↓
Ed Copeland and Tony Padilla are physicists at the University of Nottingham.
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
https://wn.com/Sum_Of_Natural_Numbers_(Second_Proof_And_Extra_Footage)
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww
More links & stuff in full description below ↓↓↓
Ed Copeland and Tony Padilla are physicists at the University of Nottingham.
Support us on Patreon: http://www.patreon.com/numberphile
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Other merchandise: https://store.dftba.com/collections/numberphile
- published: 11 Jan 2015
- views: 1085207
Lesson 1 : Natural numbers
- Order: Reorder
- Duration: 23:38
- Updated: 18 Jan 2017
- views: 3828
شرح الدرس الاول : الاعداد الطبيعية الصف الخامس الابتدائي للغات
Maths for primary 5
لمزيد من الفيديوهات تجدوها علي الرابط :
https://www.youtube.com/playlist?lis...
شرح الدرس الاول : الاعداد الطبيعية الصف الخامس الابتدائي للغات
Maths for primary 5
لمزيد من الفيديوهات تجدوها علي الرابط :
https://www.youtube.com/playlist?list=PLPIhtPrgLUSIpRGiSG0qG9dZgWH9KP1xw
للتواصل معنا :
1. قناة اليوتيوب : https://www.youtube.com/math2all
2. صفحة الفيس : https://www.fb.com/maths2all
3. قناة التليجرام : https://telegram.me/maths_5
4. جروب الاستفسارات علي التليجرام :
https://telegram.me/joinchat/Ca5P_z7T2VBoSSiJpE-xZQ
Mr Shehab
https://wn.com/Lesson_1_Natural_Numbers
شرح الدرس الاول : الاعداد الطبيعية الصف الخامس الابتدائي للغات
Maths for primary 5
لمزيد من الفيديوهات تجدوها علي الرابط :
https://www.youtube.com/playlist?list=PLPIhtPrgLUSIpRGiSG0qG9dZgWH9KP1xw
للتواصل معنا :
1. قناة اليوتيوب : https://www.youtube.com/math2all
2. صفحة الفيس : https://www.fb.com/maths2all
3. قناة التليجرام : https://telegram.me/maths_5
4. جروب الاستفسارات علي التليجرام :
https://telegram.me/joinchat/Ca5P_z7T2VBoSSiJpE-xZQ
Mr Shehab
- published: 18 Jan 2017
- views: 3828
Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.
- Order: Reorder
- Duration: 34:31
- Updated: 22 Apr 2016
- views: 963762
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for thi...
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function.
You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg
(quite large)
You can access a scanned copy of Ramanujan's notebook here: http://http://www.imsc.res.in/~rao/ramanujan/NoteBooks/NoteBook1/chapterVIII/page3.htm
If you want to watch some other videos that deal with these strange identities I recommend the following:
https://youtu.be/0Oazb7IWzbA (a Numberphile video featuring the mathematician Edward Frenkel who is also talking about the connection between the Riemann Zeta function and Ramanujan's crazy identity.)
https://youtu.be/8hgeIDY7We4 (James Grime's video (singingbanana & Numberphile) which aims at making sense of the formula at the heart of Ramanujan summation which I only flash briefly in the last part of the video.)
https://youtu.be/XFDM1ip5HdU (a very nice 3Blue1Brown video that makes sense of the identity 1+2+4+8+ ... = –1 in a way that is totally different from the one I am talking about in this video.)
This week’s video is in response to a large number of you and my students at university asking me for my take on the whole 1+2+3+... =-1/12 business. Initially, the plan was to come up with one of my usual 15 minute long videos. However, after several unsuccessful attempts at not exceeding the magic Mathologer time limit, I realised that any “short” video like this would just be a clone of one of those wrong/misleading accounts of this topic that YouTube is full of. So, rather than just give up completely on this project I decided to do what you should never do if you actually want people to watch your videos, namely simply go for it and not look at the clock. The result – a video that is an insane 35 minutes long in which I say all the things that I think need to be said and can be said only using elementary math to (just barely) do this amazing topic justice.
Thank you very much to Danil Dmitriev the official Mathologer translator for Russian for his subtitles.
Enjoy :)
Burkard
P.S.: If you know calculus and want to read up on all this some more, beyond what is readily available via the relevant Wiki pages and other internet resources, I recommend you read the last chapter of the book by Konrad Knopp, Theory and applications of infinite series, Dover books, 1990 (actually if you know German, read the extended version of this chapter in the original 1924 edition of the book). People usually recommend Hardy's book, Divergent series, but I'd say only look at this after you've looked at Knopp's book which I find a lot more accessible. The Hardy who wrote this book is the Hardy who I mention at the beginning of the video! Having said that, Hardy's book does have quite a bit of detail on how Ramanujan summation applies to the Zeta function; see chapters 13.10. and 13.17.
https://wn.com/Ramanujan_Making_Sense_Of_1_2_3_..._1_12_And_Co.
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function.
You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg
(quite large)
You can access a scanned copy of Ramanujan's notebook here: http://http://www.imsc.res.in/~rao/ramanujan/NoteBooks/NoteBook1/chapterVIII/page3.htm
If you want to watch some other videos that deal with these strange identities I recommend the following:
https://youtu.be/0Oazb7IWzbA (a Numberphile video featuring the mathematician Edward Frenkel who is also talking about the connection between the Riemann Zeta function and Ramanujan's crazy identity.)
https://youtu.be/8hgeIDY7We4 (James Grime's video (singingbanana & Numberphile) which aims at making sense of the formula at the heart of Ramanujan summation which I only flash briefly in the last part of the video.)
https://youtu.be/XFDM1ip5HdU (a very nice 3Blue1Brown video that makes sense of the identity 1+2+4+8+ ... = –1 in a way that is totally different from the one I am talking about in this video.)
This week’s video is in response to a large number of you and my students at university asking me for my take on the whole 1+2+3+... =-1/12 business. Initially, the plan was to come up with one of my usual 15 minute long videos. However, after several unsuccessful attempts at not exceeding the magic Mathologer time limit, I realised that any “short” video like this would just be a clone of one of those wrong/misleading accounts of this topic that YouTube is full of. So, rather than just give up completely on this project I decided to do what you should never do if you actually want people to watch your videos, namely simply go for it and not look at the clock. The result – a video that is an insane 35 minutes long in which I say all the things that I think need to be said and can be said only using elementary math to (just barely) do this amazing topic justice.
Thank you very much to Danil Dmitriev the official Mathologer translator for Russian for his subtitles.
Enjoy :)
Burkard
P.S.: If you know calculus and want to read up on all this some more, beyond what is readily available via the relevant Wiki pages and other internet resources, I recommend you read the last chapter of the book by Konrad Knopp, Theory and applications of infinite series, Dover books, 1990 (actually if you know German, read the extended version of this chapter in the original 1924 edition of the book). People usually recommend Hardy's book, Divergent series, but I'd say only look at this after you've looked at Knopp's book which I find a lot more accessible. The Hardy who wrote this book is the Hardy who I mention at the beginning of the video! Having said that, Hardy's book does have quite a bit of detail on how Ramanujan summation applies to the Zeta function; see chapters 13.10. and 13.17.
- published: 22 Apr 2016
- views: 963762
MathFoundations156: The realm of natural number multisets
- Order: Reorder
- Duration: 29:47
- Updated: 07 Sep 2015
- views: 2105
We introduce the realm of natural number multisets Mset(n) for a fixed natural number n. Such msets are k-msets from n, where k is now allowed to be variable. W...
We introduce the realm of natural number multisets Mset(n) for a fixed natural number n. Such msets are k-msets from n, where k is now allowed to be variable. We observe that the realm operations from the natural numbers that we introduced in our last video, namely addition, union and intersection, can now be naturally incorporated into this wider arena, and that the realm laws of arithmetic we discussed apply almost automatically in this set-up.
Please consider supporting this Channel bringing you high quality mathematics lectures by becoming a Patron at https://www.patreon.com/njwildberger?
Screenshot pdf's for the lectures are available at http://www.wildegg.com/divineproportions-rationaltrig.html
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/
A screenshot PDF which includes MathFoundations150 to 183 can be found at my WildEgg website here: http://www.wildegg.com/store/p104/product-Math-Foundations-C-screenshot-pdf
https://wn.com/Mathfoundations156_The_Realm_Of_Natural_Number_Multisets
We introduce the realm of natural number multisets Mset(n) for a fixed natural number n. Such msets are k-msets from n, where k is now allowed to be variable. We observe that the realm operations from the natural numbers that we introduced in our last video, namely addition, union and intersection, can now be naturally incorporated into this wider arena, and that the realm laws of arithmetic we discussed apply almost automatically in this set-up.
Please consider supporting this Channel bringing you high quality mathematics lectures by becoming a Patron at https://www.patreon.com/njwildberger?
Screenshot pdf's for the lectures are available at http://www.wildegg.com/divineproportions-rationaltrig.html
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/
A screenshot PDF which includes MathFoundations150 to 183 can be found at my WildEgg website here: http://www.wildegg.com/store/p104/product-Math-Foundations-C-screenshot-pdf
- published: 07 Sep 2015
- views: 2105
Lesson 2 : Ordering and comparing natural numbers
- Order: Reorder
- Duration: 22:34
- Updated: 24 Jan 2017
- views: 1853
شرح الدرس الثاني : مقارنة وترتيب الاعداد الطبيعية الصف الخامس الابتدائي للغات
Maths for primary 5
لمزيد من الفيديوهات تجدوها علي الرابط :
https://www.youtube.c...
شرح الدرس الثاني : مقارنة وترتيب الاعداد الطبيعية الصف الخامس الابتدائي للغات
Maths for primary 5
لمزيد من الفيديوهات تجدوها علي الرابط :
https://www.youtube.com/playlist?list=PLPIhtPrgLUSIpRGiSG0qG9dZgWH9KP1xw
للتواصل معنا :
1. قناة اليوتيوب : https://www.youtube.com/math2all
2. صفحة الفيس : https://www.fb.com/maths2all
3. قناة التليجرام : https://telegram.me/maths_5
4. جروب الاستفسارات علي التليجرام :
https://telegram.me/joinchat/Ca5P_z7T2VBoSSiJpE-xZQ
Mr. Shehab
https://wn.com/Lesson_2_Ordering_And_Comparing_Natural_Numbers
شرح الدرس الثاني : مقارنة وترتيب الاعداد الطبيعية الصف الخامس الابتدائي للغات
Maths for primary 5
لمزيد من الفيديوهات تجدوها علي الرابط :
https://www.youtube.com/playlist?list=PLPIhtPrgLUSIpRGiSG0qG9dZgWH9KP1xw
للتواصل معنا :
1. قناة اليوتيوب : https://www.youtube.com/math2all
2. صفحة الفيس : https://www.fb.com/maths2all
3. قناة التليجرام : https://telegram.me/maths_5
4. جروب الاستفسارات علي التليجرام :
https://telegram.me/joinchat/Ca5P_z7T2VBoSSiJpE-xZQ
Mr. Shehab
- published: 24 Jan 2017
- views: 1853
MathFoundations155: The realm of natural numbers
- Order: Reorder
- Duration: 24:49
- Updated: 30 Aug 2015
- views: 2731
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredien...
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredient for that theory. We look at natural numbers, together with 0, under three operations: addition, union and intersection. We will somewhat informally at this point refer to this as the `realm' of natural numbers.
In this video we lay out some of the rather obvious properties that these three operations satisfy. There are some surprises here: in particular we see an unusual new kind of distributive law which will become the basis for the `tropical calculus'.
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary.
Please consider supporting this Channel bringing you high quality mathematics lectures by becoming a Patron at https://www.patreon.com/njwildberger?
Screenshot pdf's for the lectures are available at http://www.wildegg.com/divineproportions-rationaltrig.html
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/
A screenshot PDF which includes MathFoundations150 to 183 can be found at my WildEgg website here: http://www.wildegg.com/store/p104/product-Math-Foundations-C-screenshot-pdf
https://wn.com/Mathfoundations155_The_Realm_Of_Natural_Numbers
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredient for that theory. We look at natural numbers, together with 0, under three operations: addition, union and intersection. We will somewhat informally at this point refer to this as the `realm' of natural numbers.
In this video we lay out some of the rather obvious properties that these three operations satisfy. There are some surprises here: in particular we see an unusual new kind of distributive law which will become the basis for the `tropical calculus'.
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary.
Please consider supporting this Channel bringing you high quality mathematics lectures by becoming a Patron at https://www.patreon.com/njwildberger?
Screenshot pdf's for the lectures are available at http://www.wildegg.com/divineproportions-rationaltrig.html
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/
A screenshot PDF which includes MathFoundations150 to 183 can be found at my WildEgg website here: http://www.wildegg.com/store/p104/product-Math-Foundations-C-screenshot-pdf
- published: 30 Aug 2015
- views: 2731
Set Theory (Part 7): Natural Numbers and Induction
- Order: Reorder
- Duration: 23:15
- Updated: 30 Apr 2015
- views: 2368
Please feel free to leave comments/questions on the video and practice problems below!
In this video, I discuss the von Neumann construction of the natural num...
Please feel free to leave comments/questions on the video and practice problems below!
In this video, I discuss the von Neumann construction of the natural numbers and relate the idea of natural numbers to inductive sets. The axiom of infinity is also introduced here as one of the ZFC axioms.
https://wn.com/Set_Theory_(Part_7)_Natural_Numbers_And_Induction
Please feel free to leave comments/questions on the video and practice problems below!
In this video, I discuss the von Neumann construction of the natural numbers and relate the idea of natural numbers to inductive sets. The axiom of infinity is also introduced here as one of the ZFC axioms.
- published: 30 Apr 2015
- views: 2368
MathFoundations157: The algebra of natural number multisets
- Order: Reorder
- Duration: 23:05
- Updated: 13 Sep 2015
- views: 3550
We introduce some deceptively simple but important notation to deal with multisets/msets from n, for some natural number n. In particular we augment addition of...
We introduce some deceptively simple but important notation to deal with multisets/msets from n, for some natural number n. In particular we augment addition of msets with multiples of an mset, and use that to give a list-theoretic description of the multiplicity of various elements that appear in a given mset.
In particular this suggests the possibility of extending multiplicities to have negative, or even rational number values. Both of these ideas will have major consequences as we use data structures to help us structure parts of modern algebra.
Please consider supporting this Channel bringing you high quality mathematics lectures by becoming a Patron at https://www.patreon.com/njwildberger?
Screenshot pdf's for the lectures are available at http://www.wildegg.com/divineproportions-rationaltrig.html
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/
A screenshot PDF which includes MathFoundations150 to 183 can be found at my WildEgg website here: http://www.wildegg.com/store/p104/product-Math-Foundations-C-screenshot-pdf
https://wn.com/Mathfoundations157_The_Algebra_Of_Natural_Number_Multisets
We introduce some deceptively simple but important notation to deal with multisets/msets from n, for some natural number n. In particular we augment addition of msets with multiples of an mset, and use that to give a list-theoretic description of the multiplicity of various elements that appear in a given mset.
In particular this suggests the possibility of extending multiplicities to have negative, or even rational number values. Both of these ideas will have major consequences as we use data structures to help us structure parts of modern algebra.
Please consider supporting this Channel bringing you high quality mathematics lectures by becoming a Patron at https://www.patreon.com/njwildberger?
Screenshot pdf's for the lectures are available at http://www.wildegg.com/divineproportions-rationaltrig.html
My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/
A screenshot PDF which includes MathFoundations150 to 183 can be found at my WildEgg website here: http://www.wildegg.com/store/p104/product-Math-Foundations-C-screenshot-pdf
- published: 13 Sep 2015
- views: 3550
Lesson 2 Natural numbers 1 by zkaya
- Order: Reorder
- Duration: 57:38
- Updated: 21 Nov 2015
- views: 132
- published: 21 Nov 2015
- views: 132
- Playlist
- Chat
5:18
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For m...
published: 26 Jun 2014
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
- Report rights infringement
- published: 26 Jun 2014
- views: 39469
6:02
Natural numbers | what are natural numbers ( learn with examples)
What are natural numbers
We learn natural numbers by taking help of counting.
Look around...
published: 19 Jun 2014
Natural numbers | what are natural numbers ( learn with examples)
Natural numbers | what are natural numbers ( learn with examples)
- Report rights infringement
- published: 19 Jun 2014
- views: 12799
3:44
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
This tutorial introduces the concept of a number line and uses it to represent natural num...
published: 14 Oct 2012
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
- Report rights infringement
- published: 14 Oct 2012
- views: 66540
28:21
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY ...
published: 27 Jun 2016
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
- Report rights infringement
- published: 27 Jun 2016
- views: 34295
9:39
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime num...
published: 22 Aug 2015
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
- Report rights infringement
- published: 22 Aug 2015
- views: 20051
8:11
Sum of first n natural numbers - Derivation of a formula
Derivation of the formula in a way which is easy to understand. It will also help student ...
published: 21 Nov 2013
Sum of first n natural numbers - Derivation of a formula
Sum of first n natural numbers - Derivation of a formula
- Report rights infringement
- published: 21 Nov 2013
- views: 42727
3:53
Natural number and Whole number, meaning and difference with example
Natural number and Whole number, meaning and difference with example
published: 04 Nov 2016
Natural number and Whole number, meaning and difference with example
Natural number and Whole number, meaning and difference with example
- Report rights infringement
- published: 04 Nov 2016
- views: 2971
7:50
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
M...
published: 09 Jan 2014
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
- Report rights infringement
- published: 09 Jan 2014
- views: 5437086
2:36
Colin Dodds - Number Types (Math Song)
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, ...
published: 05 Dec 2011
Colin Dodds - Number Types (Math Song)
Colin Dodds - Number Types (Math Song)
- Report rights infringement
- published: 05 Dec 2011
- views: 409388
3:56
The number e is everywhere
How many examples of e being everywhere can I explain in 3 minutes? See my other videos
ht...
published: 22 Jun 2013
The number e is everywhere
The number e is everywhere
- Report rights infringement
- published: 22 Jun 2013
- views: 178022
- Playlist
- Chat
5:18
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
Learn about Different types of Numbers, Natural Numbers, Whole Numbers and Integers, For m...
published: 26 Jun 2014
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
Types of Numbers 1 : Natural Numbers, Whole Numbers, Integers
- Report rights infringement
- published: 26 Jun 2014
- views: 39469
6:02
Natural numbers | what are natural numbers ( learn with examples)
What are natural numbers
We learn natural numbers by taking help of counting.
Look around...
published: 19 Jun 2014
Natural numbers | what are natural numbers ( learn with examples)
Natural numbers | what are natural numbers ( learn with examples)
- Report rights infringement
- published: 19 Jun 2014
- views: 12799
3:44
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
This tutorial introduces the concept of a number line and uses it to represent natural num...
published: 14 Oct 2012
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
Natural Numbers, Whole Numbers, and Integers , Intermediate Algebra , Lesson 1
- Report rights infringement
- published: 14 Oct 2012
- views: 66540
28:21
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY ...
published: 27 Jun 2016
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
- Report rights infringement
- published: 27 Jun 2016
- views: 34295
9:39
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
This video covers the basic definitions of Rational numbers, Irrational numbers, Prime num...
published: 22 Aug 2015
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
Rational, Irrational, Prime, Composite, Natural, Whole numbers, Integers - Number System | Team MAST
- Report rights infringement
- published: 22 Aug 2015
- views: 20051
8:11
Sum of first n natural numbers - Derivation of a formula
Derivation of the formula in a way which is easy to understand. It will also help student ...
published: 21 Nov 2013
Sum of first n natural numbers - Derivation of a formula
Sum of first n natural numbers - Derivation of a formula
- Report rights infringement
- published: 21 Nov 2013
- views: 42727
3:53
Natural number and Whole number, meaning and difference with example
Natural number and Whole number, meaning and difference with example
published: 04 Nov 2016
Natural number and Whole number, meaning and difference with example
Natural number and Whole number, meaning and difference with example
- Report rights infringement
- published: 04 Nov 2016
- views: 2971
7:50
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help
M...
published: 09 Jan 2014
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
- Report rights infringement
- published: 09 Jan 2014
- views: 5437086
2:36
Colin Dodds - Number Types (Math Song)
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, ...
published: 05 Dec 2011
Colin Dodds - Number Types (Math Song)
Colin Dodds - Number Types (Math Song)
- Report rights infringement
- published: 05 Dec 2011
- views: 409388
3:56
The number e is everywhere
How many examples of e being everywhere can I explain in 3 minutes? See my other videos
ht...
published: 22 Jun 2013
The number e is everywhere
The number e is everywhere
- Report rights infringement
- published: 22 Jun 2013
- views: 178022
- Playlist
- Chat
28:21
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
This video lecture "Number System, Natural, Integer, Rational, Irrational, Real Line & XY ...
published: 27 Jun 2016
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
Number System, Natural, Integer, Rational, Irrational, Real Line & XY Plane in hindi
- Report rights infringement
- published: 27 Jun 2016
- views: 34295
21:06
Sum of Natural Numbers (second proof and extra footage)
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww
More links & stuff in full description below...
published: 11 Jan 2015
Sum of Natural Numbers (second proof and extra footage)
Sum of Natural Numbers (second proof and extra footage)
- Report rights infringement
- published: 11 Jan 2015
- views: 1085207
23:38
Lesson 1 : Natural numbers
شرح الدرس الاول : الاعداد الطبيعية الصف الخامس الابتدائي للغات
Maths for primary 5
لمزيد ...
published: 18 Jan 2017
Lesson 1 : Natural numbers
Lesson 1 : Natural numbers
- Report rights infringement
- published: 18 Jan 2017
- views: 3828
34:31
Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notori...
published: 22 Apr 2016
Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.
Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.
- Report rights infringement
- published: 22 Apr 2016
- views: 963762
29:47
MathFoundations156: The realm of natural number multisets
We introduce the realm of natural number multisets Mset(n) for a fixed natural number n. S...
published: 07 Sep 2015
MathFoundations156: The realm of natural number multisets
MathFoundations156: The realm of natural number multisets
- Report rights infringement
- published: 07 Sep 2015
- views: 2105
22:34
Lesson 2 : Ordering and comparing natural numbers
شرح الدرس الثاني : مقارنة وترتيب الاعداد الطبيعية الصف الخامس الابتدائي للغات
Maths for p...
published: 24 Jan 2017
Lesson 2 : Ordering and comparing natural numbers
Lesson 2 : Ordering and comparing natural numbers
- Report rights infringement
- published: 24 Jan 2017
- views: 1853
24:49
MathFoundations155: The realm of natural numbers
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated...
published: 30 Aug 2015
MathFoundations155: The realm of natural numbers
MathFoundations155: The realm of natural numbers
- Report rights infringement
- published: 30 Aug 2015
- views: 2731
23:15
Set Theory (Part 7): Natural Numbers and Induction
Please feel free to leave comments/questions on the video and practice problems below!
In...
published: 30 Apr 2015
Set Theory (Part 7): Natural Numbers and Induction
Set Theory (Part 7): Natural Numbers and Induction
- Report rights infringement
- published: 30 Apr 2015
- views: 2368
23:05
MathFoundations157: The algebra of natural number multisets
We introduce some deceptively simple but important notation to deal with multisets/msets f...
published: 13 Sep 2015
MathFoundations157: The algebra of natural number multisets
MathFoundations157: The algebra of natural number multisets
- Report rights infringement
- published: 13 Sep 2015
- views: 3550
57:38
Lesson 2 Natural numbers 1 by zkaya
published: 21 Nov 2015
Lesson 2 Natural numbers 1 by zkaya
Lesson 2 Natural numbers 1 by zkaya
- Report rights infringement
- published: 21 Nov 2015
- views: 132
Number System, Natural, Integer, Rational, Irratio...
Sum of Natural Numbers (second proof and extra foo...
Lesson 1 : Natural numbers...
Ramanujan: Making sense of 1+2+3+... = -1/12 and C...
MathFoundations156: The realm of natural number mu...
Lesson 2 : Ordering and comparing natural numbers...
MathFoundations155: The realm of natural numbers...
Set Theory (Part 7): Natural Numbers and Induction...
MathFoundations157: The algebra of natural number ...
Lesson 2 Natural numbers 1 by zkaya...
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UN declares Somalia free of polio disease
Edit Suryaa 14 Aug 2017
Mogadishu, Aug 14 . The United Nations World Health Organisation (WHO) said on Sunday it had not recorded any case of polio disease in Somalia in the last three years, declaring the country polio free. The WHO said the country recorded the last case of polio in 2014 in the central part of the country but has since then remained free of the paralyzing disease ... Many of our children have suffered from polio for many years ... ....
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Protesters Topple Confederate Statue in Durham, North Carolina
Edit WorldNews.com 15 Aug 2017
Protesters were able to use a ladder to loop a rope around a Confederate statue in Durham, North Carolina on Monday night which brought the statue to a smashing end on the ground during an "Emergency Durham Protest," according to The Herald Sun ... “But we cannot ignore the fact that the current Trump administration has emboldened more Nazis, KKK, and white supremacists to target, brutalize, and kill our communities,” she continued ... ... ... ... ....
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Defense Secretary Feared Drunken Nixon Would Launch Nuclear Attack In Final Days
Edit WorldNews.com 14 Aug 2017
Days before Richard Nixon resigned the U.S. presidency, the nuclear “football” had already been taken away from him because Secretary of Defense James Schlesinger feared a depressed and drunken Nixon might launch a nuclear attack, Politico reports.When Nixon boarded a helicopter on Aug ... Schlesinger feared that the president, who seemed depressed and was drinking heavily, might order Armageddon ... The U.S....
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Police: Driver Intentionally Drove Car Into French Sidewalk Cafe Killing 8-Year-Old Girl
Edit WorldNews.com 14 Aug 2017
Police say a driver intentionally drove his car into a sidewalk cafe of a pizza restaurant in a small town east of Paris Monday night, killing an 8-year-old girl and wounding at least five people, The Associated Press reported. An official said the driver was arrested soon after the incident in the town of Sept-Sorts....
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Trump Campaign Aide Repeatedly Tried To Set Up Meetings with Russian Officials
Edit WorldNews.com 15 Aug 2017
Just days after Donald Trump hired his campaign foreign policy team in March 2016, one of his advisers sent an email to seven campaign officials that included the subject line. “Meeting with Russian Leadership - Including Putin", according to The Washington Post ... Charles Kubic, cited possible legal concerns, for violating U.S ... Steven L ... I think they were doing very basic intelligence work ... ... "Russia has been eager to meet with Mr ... ... “Mr....
Winning numbers drawn in 'Daily 3 Evening' game
Edit Red Bluff Daily News 15 Aug 2017
SACRAMENTO (AP) _ The winning numbers in Monday evening's drawing of the California Lottery's "Daily 3 Evening" game were.. 5-3-1. (five, three, one). ¶ Ticket-holders with all three winning numbers in the order given win the top prize. Lesser amounts are also awarded to ticket-holders with other varying combinations of the winning numbers ... ....
Winning numbers drawn in 'Daily 4' game
Edit Red Bluff Daily News 15 Aug 2017
SACRAMENTO (AP) _ The winning numbers in Monday evening's drawing of the California Lottery's "Daily 4" game were.. 1-2-2-6. (one, two, two, six). ¶ Ticket-holders with all four winning numbers in the order given win the top prize. Lesser amounts are also awarded to ticket-holders with other varying combinations of the winning numbers ... ....
End of the lollipop lady? Numbers fall by almost 1,000 in just five years as councils cut costs
Edit This is Money 15 Aug 2017Winning numbers drawn in 'Fantasy 5' game
Edit Santa Cruz Sentinel 15 Aug 2017
SACRAMENTO (AP) _ The winning numbers in Monday evening's drawing of the California Lottery's "Fantasy 5" game were.. 02-12-16-17-34. (two, twelve, sixteen, seventeen, thirty-four). ¶ The numbers are listed in sequential order, but any combination wins ... ....
HOW TO CONTACT WHATSAPP NUMBER +91-9001485972 Vashikaran Mantra Aur Totke master of black magic
Edit Community news 15 Aug 2017
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Edit Community news 15 Aug 2017
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Classic Lotto winning numbers for 08/14/2017; Ohio Lottery results
Edit Cleveland 15 Aug 2017
CLEVELAND, Ohio -- The Classic Lotto jackpot has increased to $17.8 million for Wednesday's drawing after no tickets matched Monday's winning numbers. The Classic Lotto numbers are 7-15-33-42-43-47 Kicker 280333. The Lucky for Life numbers are 17-15-39-8-4 Lucky Ball 2 ... Monday's winning Ohio Lottery numbers are.....
Tennis-Federer's pullout from Cincinnati hands number one spot to Nadal
Edit The Economic Times 15 Aug 2017
TENNIS-FEDERER-NADAL/ (UPDATE 1, PIX).UPDATE 1-Tennis-Federer's pullout from Cincinnati hands number one spot to Nadal ... ....
Winning numbers drawn in 'Daily 4 Evening' game
Edit my SA 15 Aug 2017
AUSTIN, Texas (AP) _ The winning numbers in Monday evening's drawing of the Texas Lottery's "Daily 4 Evening" game were. 7-7-3-3, Sum It Up. 20 (seven, seven, three, three; Sum It Up. twenty) ... ....
Winning numbers drawn in 'Gopher 5' game
Edit Star Tribune 15 Aug 2017
MINNEAPOLIS _ The winning numbers in Monday evening's drawing of the Minnesota Lottery's "Gopher 5" game were ... ....
Winning numbers drawn in 'Daily 3' game
Edit San Francisco Chronicle 15 Aug 2017
DETROIT (AP) _ The winning numbers in Monday evening's drawing of the Michigan Lottery's "Daily 3" game were. 2-8-7 (two, eight, seven) ... ....
Winning numbers drawn in 'Poker Lotto' game
Edit San Francisco Chronicle 15 Aug 2017
DETROIT (AP) _ The winning numbers in Monday evening's drawing of the Michigan Lottery's "Poker Lotto" game were. KC-JD-9D-10D-5H (KC, JD, 9D, 10D, 5H) ... ....
Winning numbers drawn in 'Northstar Cash' game
Edit Post-Bulletin 15 Aug 2017
MINNEAPOLIS (AP) — The winning numbers in ......
Classical Tunes Are More in My Blood Than Party Numbers: Kanika Kapoor
Edit News18 15 Aug 2017
... are more in her blood than the party numbers that she's often associated with....
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