# CEILING.MATH function

This article describes the formula syntax and usage of the **CEILING.MATH** function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.

## Description

Rounds a number up to the nearest integer or to the nearest multiple of significance.

## Syntax

CEILING(number, [significance], [mode])

The CEILING.MATH function syntax has the following arguments.

**Number**Required. Number must be less than 9.99E+307 and greater than -2.229E-308.**Significance**Optional. The multiple to which Number is to be rounded.**Mode**Optional. For negative numbers, controls whether Number is rounded toward or away from zero.

## Remarks

- By default, significance is +1 for positive numbers and -1 for negative numbers.
- By default, positive numbers with decimal portions are rounded up to the nearest integer. For example, 6.3 is rounded up to 7.
- By default, negative numbers with decimal portions are rounded up (toward 0) to the nearest integer. For example, -6.7 is rounded up to -6.
- By specifying the Significance and Mode arguments, you can change the direction of the rounding for negative numbers. For example, rounding -6.3 to a significance of 1 with a mode of 1 rounds away from 0, to -7. There are many combinations of Significance and Mode values that affect rounding of negative numbers in different ways.
- The Mode argument does not affect positive numbers.
- The significance argument rounds the number up to the nearest integer that is a multiple of the significance specified. The exception is where the number to be rounded is an integer. For example, for a significance of 3 the number is rounded up to the next integer that is a multiple of 3.
- If Number divided by a Significance of 2 or greater results in a remainder, the result is rounded up.

## Example

The workbook below shows examples of this function. Inspect them, change existing formulas, or enter your own formulas to learn how the function works.

To work more in-depth with the example data in Excel, download the embedded workbook to your computer, and then open it in Excel.