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Integer

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An integer is one of the numbers obtained in counting the natural numbers (1,2,3,\ldots), zero (0), or the negatives of the natural numbers (-1,-2,-3,\ldots). If a and b are integers, then their sum a+b, their difference a-b, and their product ab are all integers, but their quotient \frac{a}{b} 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. The set of integers is symbolically written as \mathbb{Z}.

See Also

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.
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