# irrational numbers

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irrational numbers
numbers that cannot be represented as a ratio of two integers (Mathematics)

English contemporary dictionary. 2014.

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• irrational — [i rash′ə nəl] adj. [ME < L irrationalis: see IN 2 & RATIONAL] 1. lacking the power to reason 2. contrary to reason; senseless; unreasonable; absurd 3. Math. designating a real number not expressible as an integer or as a quotient of two… …   English World dictionary

• 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 rhythm — In music, the term irrational rhythm refers both to a particular extension of the traditional Western notation system for musical time,and to all the various rhythmic effects indicated or achieved by means of this extended notation. Traditional… …   Wikipedia

• irrational number — 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… …   Universalium

• irrational — ir*ra tion*al ([i^]r*r[a^]sh [u^]n*al), a. [L. irrationalis: cf. F. irrationnel. See {In } not, and {Rational}.] [1913 Webster] 1. Not rational; void of reason or understanding; as, brutes are irrational animals. [1913 Webster] 2. Not according… …   The Collaborative International Dictionary of English

• irrational — (adj.) late 15c., not endowed with reason (of beats, etc.); earlier (of quantities) inexpressible in ordinary numbers (late 14c.); from L. irrationalis without reason, from assimilated form of in not, opposite of (see IN (Cf. in ) (1)) +… …   Etymology dictionary

• 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 — /ɪˈræʃənəl / (say i rashuhnuhl) adjective 1. without the faculty of, or not endowed with, reason: irrational animals. 2. without, or deprived of, sound judgement: *She was a grown cow now, and a cow in calf at that, than which there is no more… …   Australian English dictionary

• irrational number — number that cannot be expressed as the ratio of two whole numbers (Mathematics) …   English contemporary dictionary

• irrational — adj. 1 illogical; unreasonable. 2 not endowed with reason. 3 Math. (of a root etc.) not rational; not commensurate with the natural numbers (e.g. a non terminating decimal). Derivatives: irrationality n. irrationalize v.tr. (also ise).… …   Useful english dictionary