Difference between revisions of "Integer"
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| − | An '''integer''' is one of the numbers obtained in counting the [[natural number]]s (<math>1,2,3,\ldots</math>), zero (<math>0</math>), or the negatives of the natural numbers (<math>-1,-2,-3,\ldots</math>). If <math>a</math> and <math>b</math> are integers, then their sum <math>a+b</math>, their difference <math>a-b</math>, and their product <math>ab</math> are all integers, but their quotient <math>\ | + | An '''integer''' is one of the numbers obtained in counting the [[natural number]]s (<math>1,2,3,\ldots</math>), zero (<math>0</math>), or the negatives of the natural numbers (<math>-1,-2,-3,\ldots</math>). If <math>a</math> and <math>b</math> are integers, then their sum <math>a+b</math>, their difference <math>a-b</math>, and their product <math>ab</math> are all integers, but their quotient <math>a\div b</math> may or may not be an integer, depending on whether <math>a</math> can be divided by <math>b</math> with no remainder. |
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]]. The set of integers is symbolically written as <math>\mathbb{Z}</math>. | 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]]. The set of integers is symbolically written as <math>\mathbb{Z}</math>. | ||
Revision as of 15:11, 31 December 2010
An integer is one of the numbers obtained in counting the natural numbers (
), zero (
), or the negatives of the natural numbers (
). If 
and 
are integers, then their sum 
, their difference 
, and their product 
are all integers, but their quotient 
may or may not be an integer, depending on whether can be divided by with no remainder.
The class of integers is the simplest class of numbers and is used to construct other classes like rational numbers and real numbers. The set of integers is symbolically written as 
.
