 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 p / q, where p and q are integers and ; hence, the fractional part will always be less than 1. For example, if x = 1.05, then the fractional part of x is .05 and can be expressed as 5/100 = 1/20.
See also
 Equidistributed sequence
 Oneparameter group
 Pisot–Vijayaraghavan number
 Significand
Categories: Modular arithmetic
 Mathematics stubs
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