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Mathematica® Teacher's Edition (2002)

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Floor

FilledSmallSquare Floor[x] gives the greatest integer less than or equal to x.

FilledSmallSquare Mathematical function (see Section A.3.10).
FilledSmallSquare Examples: Floor[2.4]LongRightArrow; Floor[2.6]LongRightArrow; Floor[-2.4]LongRightArrow; Floor[-2.6]LongRightArrow.
FilledSmallSquare Floor[x] can be entered in StandardForm and InputForm as x , AliasIndicatorlfAliasIndicator x AliasIndicatorrfAliasIndicator or \[LeftFloor] x \[RightFloor].
FilledSmallSquare Floor[x] returns an integer when x is any numeric quantity, whether or not it is an explicit number.
FilledSmallSquare Example: Floor[Pi^2]LongRightArrow.
FilledSmallSquare For exact numeric quantities, Floor internally uses numerical approximations to establish its result.
FilledSmallSquare See The Mathematica Book on the web: Section 3.2.2.
FilledSmallSquare Implementation Notes: see Section A.9.4.
FilledSmallSquare See also: Ceiling, Round, IntegerPart, Chop.