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rational

(adj): vs. irrational) -- (consistent with or based on or using reason

( more... )

(adj): capable of thinking and expressing yourself in a clear and consistent manner

(adj): having mythical elements removed

(adj): prenominal), thinking(prenominal) -- (endowed with the capacity to reason

(adj): marked by sound judgment

(adj): of or associated with or requiring the use of the mind

(adj): vs. physical) -- (involving the mind or an intellectual process

(adj): vs. irrational) -- (capable of being expressed as a quotient of integers

(adj): having its source in or being guided by the intellect (as distinguished from experience or emotion)

(adj): vs. nonintellectual) -- (appealing to or using the intellect

(n): an integer or a fraction

(n): any rational or irrational number

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8 months ago sionnach said:

A rational number may be written as the quotient of two integers, that is, in the form a/b for some two integers a and b.

Some famously irrational numbers include the square root of two, π, and e, the base of natural logarithms.

How many rational numbers are there? Infinitely many. But only countably infinitely many: as the rationals may be set in one-to-one correspondence with the integers, the two sets have the same cardinality.

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