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 [[real number|real numbers]].
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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 10:18, 22 June 2006

An integer number is one of the numbers obtained in counting (positive integers also known as natural numbers): $1,2,3,\dots$, zero: $0$, or one of the negative integers: $\displaystyle -1,-2,-3,\dots$. If $\displaystyle{a}$ and $b$ are integers, then so is their sum $a+b$, their difference $\displaystyle a-b$, and their product $ab$, but their quotient $\frac ab$ 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.