Round

Round[x] gives the integer closest to x.

Mathematical function (see Section A.3.10).

Examples: Round[2.4] ; Round[2.6] ; Round[-2.4] ; Round[-2.6] .

Round rounds numbers of the form x.5 toward the nearest even integer.

Round[x] returns an integer when x is any numeric quantity, whether or not it is an explicit number.

Example: Round[Pi^2] .

For exact numeric quantities, Round 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 1.1.3 and Section 3.2.2.

See also: IntegerPart, Floor, Ceiling, Chop.

Further Examples