# Rounding Calculator

 Number Precision Tenths (1) Hundredths (2) Thousandths (3) Ten Thousandths (4) Hundred Thousandths (5) Millionths (6) Ones (0) Tens (-1) Hundreds (-2) Thousands (-3) Millions (-6)

 Settings
Click "Settings" to set the rounding method or define your own precision level.

Related

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

### Rounding Methods

There are various rounding definitions that can be used to round a number. The calculator defaults to rounding to the nearest integer, but settings can be changed to use other rounding modes and levels of precision. All the rounding modes the calculator is capable of are described below.

Round up (ceiling):

Rounding up, sometimes referred to as "taking the ceiling" of a number means rounding up towards the nearest integer. For example, when rounding to the ones place, any non-integer value will be rounded up to the next highest integer, as shown below:

 5.01 â‡’ 6

In the case of negative numbers, rounding up means rounding a non-integer negative number to its next closest, more positive integer. For example:

 -5.01 â‡’ -5 -5.5 â‡’ -5 -5.99 â‡’ -5

Round down (floor):

Rounding down, sometimes referred to as "taking the floor" of a number means rounding down towards the nearest integer. For example, when rounding to the ones place, any non-integer value will be rounded down to the next lowest integer, as shown below:

 5.99 â‡’ 5

In the case of negative numbers, rounding down means rounding a non-integer negative number to its next nearest, more negative integer. For example:

 -5.01 â‡’ -6 -5.5 â‡’ -6 -5.99 â‡’ -6