- Math.a number that cannot be exactly expressed as a ratio of two integers.[1545-55]
* * *Among the real numbers, any of those that cannot be represented as quotients of integers.In decimal form, irrational numbers are represented by nonterminating, nonrepeating decimals. Examples include square roots of prime numbers and such transcendental numbers as π and e.
* * *any real number that cannot be expressed as the quotient of two integers. For example, there is no number among integers and fractions that equals the square root of 2. A counterpart problem in measurement would be to find the length of the diagonal of a square whose side is one unit long; there is no subdivision of the unit length that will divide evenly into the length of the diagonal. (See Sidebar: Incommensurables.) It thus became necessary, early in the history of mathematics, to extend the concept of number to include irrational numbers. Each irrational number can be expressed as an infinite decimal expansion with no regularly repeating digit or group of digits. Together with the rational numbers, they form the real numbers.
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Irrational Number — [engl.], irrationale Zahl … Universal-Lexikon
Irrational number — In mathematics, an irrational number is any real number that is not a rational number that is, it is a number which cannot be expressed as a fraction m / n , where m and n are integers, with n non zero. Informally, this means numbers that cannot… … Wikipedia
irrational number — noun a real number that cannot be expressed as a rational number • Syn: ↑irrational • Hypernyms: ↑real number, ↑real • Hyponyms: ↑transcendental number, ↑algebraic number * * * Math. a … Useful english dictionary
irrational number — number that cannot be expressed as the ratio of two whole numbers (Mathematics) … English contemporary dictionary
irrational number — noun Date: 1551 a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers … New Collegiate Dictionary
irrational number — noun Any real number that cannot be expressed as a ratio of two integers … Wiktionary
irrational number — A real number that is not rational … Philosophy dictionary
irrational number — irra′tional num′ber n. math. a number that cannot be exactly expressed as a ratio of two integers • Etymology: 1545–55 … From formal English to slang
Irrational — may refer to: *Irrationality *Irrational rhythm, *Irrational exuberance *Irrational GamesIn mathematics: *Irrational number *Proof that e is irrational *Proof that pi; is irrational *Quadratic irrational *List of integrals of irrational… … Wikipedia
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