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What is an integer (math)?

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Okay, so I'm doing my math summer school homework for the SHSI and lots of questions involve integers, what are they?

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  1. An integer is "A member of the set of positive whole numbers {1, 2, 3, . . . }, negative whole numbers {−1, −2, −3, . . . }, and zero {0}." Integers do not include decimals or fractions.

    For example, 10 is an integer, but 10.1 is not. Likewise, -17 is an integer but -8/7 is not.

    Quoted definition from http://www.answers.com/topic/integer

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