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)
“... we’ve allowed a youth-centered culture to leave us so estranged from our future selves that, when asked about the years beyond fifty, sixty, or seventy—all part of the average human life span providing we can escape hunger, violence, and other epidemics—many people can see only a blank screen, or one on which they project fear of disease and democracy.”
—Gloria Steinem (b. 1934)