An irrational number is a number that cannot be expressed as a fraction, that is, it cannot be written as the quotient of two whole numbers. As a decimal, an irrational number is shown by an infinitely long nonrepeating sequence of numbers. Examples of irrational numbers are π (pi, the ratio of circumference to diameter of a circle), e (base of the natural logarithms), and √2 (that number which multiplied by itself equals 2).
See also e (number); Rational number.
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