IntegerPart[
x
]
+
FractionalPart[
x
] is always exactly x.
IntegerPart[
x
] returns an integer when x is any numeric quantity, whether or not it is an explicit number.
Example: IntegerPart[Pi^2].
For exact numeric quantities, IntegerPart internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.
; IntegerPart[2.6]
