Fractional Part

All real numbers can be written in the form n + r where n is an integer (the integer part) and the remaining fractional part r is a nonnegative real number less than one. For a positive number written in decimal notation, the fractional part corresponds to the digits appearing after the decimal point.

The fractional part of a real number x is, where is the floor function. It is sometimes denoted or .

If x is rational, then the fractional part of x can be expressed in the form, where p and q are integers and . For example, if, then the fractional part of x is .05 and can be expressed as 5/100 = 1/20.

Famous quotes containing the words fractional and/or part:

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    Denise Levertov (b. 1923)

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    James Boswell (1740–1795)