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  • 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. This process can be affected by the setting of the global variable $MaxExtraPrecision.
  • See the Mathematica book: Section 3.2.2.
  • See also: FractionalPart, Round, Floor, Ceiling, Chop.