RoundDown

RoundDown[ a ] rounds a number down to the nearest integer.

Usages

`RoundDown[ a ]`

RoundDown[ a ] rounds the value of a down to the nearest integer. a can be any expression with a numerical value, or a quantity with a unit. In a script, wrap the command in Simplify.

Example	in	out
A decimal number.	`Simplify[ RoundDown[1.9] ]`	`1`
For negative numbers, rounding down goes away from zero.	`Simplify[ RoundDown[-1.2] ]`	`-2`
A quantity keeps its unit.	`Simplify[ RoundDown[Quantity[1.9, 'm']] ]`	`Quantity[1, 'm']`

Details

Without Simplify, the command is not calculated. To round down directly in a script, use Floor.
Decimals: RoundDown always rounds to an integer. Simplify[ RoundDown[1.234, 2] ] is not calculated; use Floor[ 1.234, 2 ] instead.

See also: RoundUp, Floor, Round, Simplify