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A number that can be expressed as a ratio of two integers, x and y where y >0, is said to be rational.

A real number that is not rational is irrational.

The decimal representation of a rational number is either terminating or (after a finite number of digits) repeats a finite sequence for ever after. An irrational number has an infinite, non-recurring decimal representation.

The qualities of decimal representations also apply to representations in any integer base - for example, binary, octal, hexadecimal.

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13y ago

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