IntegerPart
IntegerPart[
x
] gives the integer part of x.
Mathematical function (see Section A.3.10).
IntegerPart[
x
] in effect takes all digits to the left of the decimal point and drops the others.
Examples: IntegerPart[2.4]
 ; IntegerPart[2.6]
 ; IntegerPart[-2.4]
 ; IntegerPart[-2.6]
 .
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.
See The Mathematica Book on the web:Section 3.2.2.
See also: Round, Floor, Ceiling, Chop.
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