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Mathematica > Mathematics and Algorithms > Mathematical Functions > Numerical Functions > Round >

BUILT-IN MATHEMATICA SYMBOL

Round

Round[x]
gives the integer closest to x.

rounds to the nearest multiple of a.

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

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.

Round to the nearest integer:

Round to the nearest multiple of 10:

Round to the nearest integer:

Out[1]=

Out[2]=

Out[3]=

Round to the nearest multiple of 10:

Out[1]=

Out[2]=

Use exact numeric quantities:

Round threads element-wise over lists:

Round to the nearest multiple of

Manipulate Round symbolically:

Evaluate an integral:

Complex numbers:

Compute Fibonacci numbers:

Negative numbers also round to the nearest integer:

At midpoints, Round rounds towards even integers:

Round does not automatically resolve the value: