Excel CEILING.MATH function
Description
The CEILING.MATH function rounds a given number up to the nearest multiple of significance or to the nearest integer number.
Syntax and arguments
Formula syntax
| =CEILING.MATH(number, [significance],[mode]) |
Arguments
|
Return Value
The CEILING.MATH function rounds number up to nearest multiple.
Notes:
1. If the significance is omitted or default, the significance is 1 for positive number, -1 for negative number. For example, 2 rounded to 2, -2 rounded to -2.
2. If the significance is omitted or default, the positive decimal numbers will be rounded up to nearest integer. For instance, round 1.23 to 2.
3. If the significance and mode are omitted or default, the negative decimal numbers will be rounded up to nearest integer which is toward to zero. For instance, round -1.23 to -1.
4. Both of the number and significance are negative, the result is rounded down away from zero.
5. If the Mode is non-zero, the negative number will be round up to nearest multiple of significance away from zero, for instance, =CEILING.MATH(-12,5,1), rounds -12 to -15.
6. If the number is an exact multiple of significance, no changes occurs.
Usage and Examples
Here are some examples provided for you to understand how to use the CEILING.MATH function in Excel.
Positive integer number
| Number | Significance | Mode | Result | Formula | Notes |
| 8 | 8 | =CEILING.MATH(8) | Round 8 up to the nearest multiple of 1(default) | ||
| 8 | 11 | 11 | =CEILING.MATH(8,11) | Round 8 up to the nearest multiple of 11 |
Positive decimal number
| Number | Significance | Mode | Result | Formula | Notes |
| 1.23 | 2 | =CEILING.MATH(1.23) | Round 1.23 up to the nearest multiple of 1(default) | ||
| 1.23 | 3 | 3 | =CEILING.MATH(1.23,3) | Round 1.23 up to the nearest multiple of 3 |
Positive integer number
| Number | Significance | Mode | Result | Formula | Notes |
| -10 | -10 | =CEILING.MATH(-10) | Round -10 up to the nearest multiple of 1(default), toward to zero(default) | ||
| -10 | 3 | -9 | =CEILING.MATH(-10,3) | Round -10 up to the nearest multiple of 3, toward to zero(default) | |
| -10 | 3 | 1 | -12 | =CEILING.MATH(-10,3,1) | Round -10 to the nearest multiple of 3, away from zero |
Negative decimal number
| Number | Significance | Mode | Result | Formula | Notes |
| -22.1 | -21 | =CEILING.MATH(-21.11) | Round -21.11 up to the nearest multiple of 1(default), toward to zero(default) | ||
| -22.1 | 10 | -20 | =CEILING.MATH(-21.11,10) | Round -21.11 up to the nearest multiple of 10, toward to zero(default) | |
| -22.1 | 10 | 1 | -30 | =CEILING.MATH(-21.11,10,1) | Round -21.11 to the nearest multiple of 10, away from zero |
Download Sample File
Click to download CEILING.MATH function sample file
Relative Functions:
-
Excel CEILING Function
The CEILING function returns a number rounded up to a nearest multiple of significance. For example, =CEILING(10.12,0.2) returns 10.2, it round 10.12 to nearest multiple of 0.2. -
Excel CEILING.PRECISE Function
The CEILING.PRECISE function returns a number rounded up to a nearest multiple or nearest integer ignoring sign of number, it round all numbers up.
Relative Articles:
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Round number to nearest 5,10, 50 or 100 number in Excel
This article provides some simple formulas to round numbers to nearest specific number, and also introduce the formulas to round numbers to next or last nearest one.
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