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Irrational Numbers
Encyclopedia Article
Irrational Numbers, class of numbers that cannot be produced by dividing any integer by another integer. Integers comprise the positive whole numbers, negative whole numbers, and zero: …-3, -2, -1, 0, 1, 2, 3…. Examples of irrational numbers include the square root of two (Ã, 1.41421356…), pi (p, 3.14159265…), and the mathematical constant e (2.71828182…). When expressed as decimals these numbers can never be fully written out as they have an infinite number of decimal places which never fall into a repeating pattern.
The irrational numbers, together with the rational numbers (numbers that can be produced by dividing one integer by another), make up the set of real numbers.
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