number

The Integers and Rational Numbers

To the natural numbers one adjoins their negatives and zero to form the integers. The ratios a / b of the integers, where a and b are integers and b  ≠ 0, constitute the rational numbers; the integers are those rational numbers for which b   =  1. The rational numbers may also be represented by repeating decimals; e.g., 1/2  =  0.5000 … , 2/3  =  0.6666 … , 2/7  =  0.285714285714 … (see decimal system).

The Columbia Electronic Encyclopedia, 6th ed. Copyright © 2012, Columbia University Press. All rights reserved.

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