VS.

Integer vs. Irrational

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Integernoun

(arithmetic) A number that is not a fraction; an element of the infinite and numerable set {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Irrationaladjective

Not rational; unfounded or nonsensical.

‘an irrational decision’;

Integernoun

A complete entity; a whole number, in contradistinction to a fraction or a mixed number.

Irrationaladjective

Of a real number, that cannot be written as the ratio of two integers.

‘The number π is irrational.’;

Integernoun

any of the natural numbers (positive or negative) or zero

Irrationalnoun

A real number that can not be expressed as the quotient of two integers, an irrational number.

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Integernoun

a number which is not a fraction; a whole number

‘integer values’;

Irrationaladjective

Not rational; void of reason or understanding; as, brutes are irrational animals.

Integernoun

a thing complete in itself.

Irrationaladjective

Not according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; - of assertions and beliefs.

‘It seemed utterly irrational any longer to maintain it.’;

Integer

An integer (from the Latin integer meaning ) is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.

‘whole’;

Irrationaladjective

Not capable of being exactly expressed by an integral number, nor by a ratio of integral numbers; surd; - said especially of roots. See Surd.

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Irrationaladjective

not consistent with or using reason;

‘irrational fears’; ‘irrational animals’;

Irrationaladjective

real but not expressible as the quotient of two integers;

‘irrational numbers’;

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