Rounding Calculator
Click "Settings" to set the rounding method or define your own precision level.
Introduction to Rounding
Rounding a number involves replacing it with an approximate value that has a shorter, simpler, or more explicit representation. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.
Rounding Methods
Various rounding definitions 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 modes are described below.
Round half up
Rounds values halfway between the chosen rounding precision up (towards the bigger or more positive value).
Examples (rounding to the ones place):
Round half down
Rounds values halfway between the chosen rounding precision down (towards the smaller or more negative value).
Examples (rounding to the ones place):
Round up (ceiling)
Rounds up towards the nearest integer; any non-integer value is rounded up to the next highest integer.
Round down (floor)
Rounds down towards the nearest integer; any non-integer value is rounded down to the next lowest integer.
Round half to even
A tie-breaking rule where half values are rounded to the nearest even integer.
Round half to odd
A tie-breaking rule where half values are rounded to the nearest odd integer.
Round half away from zero
Rounds half values away from zero (towards positive or negative infinity).
Round half towards zero
Rounds half values towards zero (away from positive or negative infinity).
Rounding to fractions
Rounds a value to the nearest multiple of a chosen fraction.
Examples (rounding to the nearest 1/8):
Rounding to fractions is useful in engineering for component sizes like pipes and bolts.