|
The fractional part of a nonnegative real number is the part of the number that appears after the decimal point. For example, the fractional part of
 is
 .
To be more precise, for
 with  , the fractional part of  , denoted as  , is given by
![$ \{x\}=x-[x]$](http://images.planetmath.org:8080/cache/objects/8338/l2h/img7.png "$ \{x\}=x-[x]$") , where ![$ [x]$](http://images.planetmath.org:8080/cache/objects/8338/l2h/img8.png "$ [x]$") denotes the integer part of  .
The name “fractional part” is somewhat of a misnomer: To the novice, the name may seem to imply that the result must be a fraction (and therefore rational), which is not the case. For example,
 , which is not rational.
|
