Difference between revisions of "Integer"

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An integer is any whole number, positive, negative, or 0.
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An '''integer''' is any whole number, positive, negative, or 0.  More precisely, the set of all integers consists of all natural numbers {1, 2, 3, 4, ...}, their negatives {-1, -2, -3, -4, ...} and 0.  A formal definition is that it is the only [[integral domain]] whose positive elements are well ordered and in which order is preserved by addition.
  
Some examples of intergers: 1, 10/5, 98058493, -87, -3/3, the square root of 9, and 0.
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Some examples of integers: 1, 10/5, 98058493, -87, -3/3, the square root of 9, and 0.
  
 
The following numbers are not integers: 5/10, the square root of -9, 8.75, and Pi.
 
The following numbers are not integers: 5/10, the square root of -9, 8.75, and Pi.

Revision as of 01:21, March 29, 2007

An integer is any whole number, positive, negative, or 0. More precisely, the set of all integers consists of all natural numbers {1, 2, 3, 4, ...}, their negatives {-1, -2, -3, -4, ...} and 0. A formal definition is that it is the only integral domain whose positive elements are well ordered and in which order is preserved by addition.

Some examples of integers: 1, 10/5, 98058493, -87, -3/3, the square root of 9, and 0.

The following numbers are not integers: 5/10, the square root of -9, 8.75, and Pi.