# Difference between revisions of "Integer"

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An integer number is one of the numbers obtained in counting (positive integers also known as [[natural number|natural numbers]]): <math>1,2,3,\dots</math>, zero: <math>0</math>, or one of the negative integers: <math>\displaystyle -1,-2,-3,\dots</math>. If <math>\displaystyle{a}</math> and <math>b</math> are integers, then so is their sum <math>a+b</math>, their difference <math>\displaystyle a-b</math>, and their product <math>ab</math>, but their quotient <math>\frac ab</math> may or may not be an integer. | An integer number is one of the numbers obtained in counting (positive integers also known as [[natural number|natural numbers]]): <math>1,2,3,\dots</math>, zero: <math>0</math>, or one of the negative integers: <math>\displaystyle -1,-2,-3,\dots</math>. If <math>\displaystyle{a}</math> and <math>b</math> are integers, then so is their sum <math>a+b</math>, their difference <math>\displaystyle a-b</math>, and their product <math>ab</math>, but their quotient <math>\frac ab</math> may or may not be an integer. | ||

− | The class of integers is the simplest class of numbers and is used to construct other classes like [[rational number|rational numbers]] and [[ | + | The class of integers is the simplest class of numbers and is used to construct other classes like [[rational number|rational numbers]] and [[real numbers]]. |

## Revision as of 09:18, 22 June 2006

An integer number is one of the numbers obtained in counting (positive integers also known as natural numbers): , zero: , or one of the negative integers: . If and are integers, then so is their sum , their difference , and their product , but their quotient may or may not be an integer.

The class of integers is the simplest class of numbers and is used to construct other classes like rational numbers and real numbers.