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:
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“You may have your suspicions, your fears, you may even believe there is something, somewhere, terribly, drastically wrong, but because someone else is in charge, because there is a part of the system above you which you don’t know, you don’t question it, you even distrust your own doubts.”
—Graham Swift (b. 1949)