Round

Round

Round[ a ] rounds a value to the nearest integer.

Usages

Round[ a ]

Round[ a ] rounds the value of a to the nearest integer. Halves are rounded away from zero. a can be any expression with a numerical value.

Example in out
A decimal number. Round[ 3.14 ] 3
A half is rounded up. Round[ 2.5 ] 3
A negative half is rounded down. Round[ -2.5 ] -3
A fraction. Round[ 7/2 ] 4
An expression with a numerical value. Round[ Pi ] 3

Round[ a1, a2, ... ] and Round[ list ]

With more than one value, or a list, each value is rounded and the result is a list.

Example in out
Three values. Round[ 1.5, 3.2, 7.4 ] {2, 3, 7}
A list. Round[ {1.4, 1.6} ] {1, 2}
Details
  • No numerical value: a value without a numerical value is returned unchanged: Round[ x ] gives x.
  • To round to a number of decimals, use Numerical[ a, n ].
Warning

The second argument is not a number of decimals. Round[ 3.14159, 2 ] rounds both values and returns {3, 2}. Use Numerical[ 3.14159, 2 ] to get 3.14.

See also: Numerical, Floor, Ceil