- published: 13 Oct 2010
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An integer (from the Latin integer meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5 1⁄2, and √2 are not.
The set of integers consists of zero (0), the natural numbers (1, 2, 3, …), also called whole numbers or counting numbers, and their additive inverses (the negative integers, i.e. −1, −2, −3, …). This is often denoted by a boldface Z ("Z") or blackboard bold (Unicode U+2124 ℤ) standing for the German word Zahlen ([ˈtsaːlən], "numbers").ℤ is a subset of the sets of rational and real numbers and, like the natural numbers, is countably infinite.
The integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes called rational integers to distinguish them from the more general algebraic integers. In fact, the (rational) integers are the algebraic integers that are also rational numbers.
Like the natural numbers, Z is closed under the operations of addition and multiplication, that is, the sum and product of any two integers is an integer. However, with the inclusion of the negative natural numbers, and, importantly, 0, Z (unlike the natural numbers) is also closed under subtraction. The integers form a unital ring which is the most basic one, in the following sense: for any unital ring, there is a unique ring homomorphism from the integers into this ring. This universal property, namely to be an initial object in the category of rings, characterizes the ring Z.
The best math study group ever teaches you about integers; positive whole numbers, like 1, 2, and 30, and their opposites, -1, -2, -30, and 0. You can use integers to borrow money from your friends so you can buy an awesome denim jacket, or even make critical decisions like choosing between Charlieissocoollike and Tobuscus - a hard choice. In fact, you even used integers to choose this video. Where? What? Huh! Click play to see. Done watching the show? Take the Quiz! http://www.youtube.com/watch?v=aFvZEEfI3hU And please subscribe. Like us: http://www.facebook/pbsmathclub.com Follow us: @PBSMathClub Want to know more about integers: http://www.pinterst.com/PBSMathClub/ Music to study by: http://www.spotify/ playlist PBSMathClub Find the 15 second "CRAM YOUR MIND" version on INSTAGRAM:...
This lecture discusses a couple methods for adding and subtracting integers.
What are integers and where are they used? View this video to know the answers and to understand Integers better, please visit https://DontMemorise.com/ Don’t Memorise brings learning to life through its captivating FREE educational videos. New videos every week. To stay updated, subscribe to our YouTube channel : http://bit.ly/DontMemoriseYouTube Register on our website to gain access to all videos and quizzes: http://bit.ly/DontMemoriseRegister Subscribe to our Newsletter: http://bit.ly/DontMemoriseNewsLetter Join us on Facebook: http://bit.ly/DontMemoriseFacebook Follow us : http://bit.ly/DontMemoriseBlog
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Useful for CBSE, ICSE, NCERT & International Students Grade: 07 Subject: Maths Lesson: Integers Topic: Integers Integers are whole numbers that describe opposite ideas in mathematics. Integers can either be negative(-), positive(+) or zero. The integer zero is neutral. It is neither positive nor negative, but is an integer. Integers can be represented on a number line, which can help us understand the valve of the integer. Visit www.oztern.com to find personalized test preparation solutions for Pre Medical - AIPMT, AIIMS, JIPMER, State, Pre Engineering - IIT JEE, JEE MAIN, BITSAT, State and Foundations - Class 6 to 10.