The fractional part or decimal part of a nonโnegative real number is the excess beyond that number's integer part. The latter is defined as the largest integer not greater than x, called floor of x or . Then, the fractional part can be formulated as a difference:
The fractional part of logarithms, specifically, is also known as the mantissa; by contrast with the mantissa, the integral part of a logarithm is called its characteristic. The word mantissa was introduced by Henry Briggs.