# FLOOR.MATH Function – Google Sheets

The FLOOR.MATH function in Google Sheets rounds a number down to the nearest integer multiple of a specified significance. Depending on the `mode` setting, you can round negative numbers toward or away from zero.

FLOOR.MATH and FLOOR.PRECISE are intended to supplant the FLOOR function.

## Syntax

`=FLOOR.MATH(number, [significance], [mode])`

`number` – The number for the function to round

`significance` – Optional. The multiple to round down to. The default value is 1.

`mode` – Optional. The rounding direction for negative numbers. This has no impact on positive numbers.

• `0` – Round away from zero
• `1` – Round toward zero

## Similar Functions

Several functions deal with rounding. Choose the most appropriate for your use.

• CEILING.MATH – Rounds a number up to the nearest integer multiple of specified significance with customizable negative number treatment
• CEILING.PRECISE – Rounds a number up to the nearest integer multiple of specified significance
• INT – Rounds a number down to the nearest integer
• FLOOR.MATH – Rounds a number down to the nearest integer multiple of specified significance with customizable negative number treatment
• FLOOR.PRECISE – Rounds a number down to the nearest integer multiple of specified significance with customizable negative number treatment
• MROUND – Rounds one number to the nearest integer multiple of another
• ROUND – Round a number to a specified number of decimal places using standard rounding
• ROUNDDOWN – Round a number down to a specified number of places
• ROUNDUP – Round a number up to a specified number of places
• TRUNC: Truncates a number to a certain number of significant digits by omitting less significant digits

## Possible Errors

#VALUE! – An argument is non-numeric.

## Examples

You can use FLOOR.MATH in many different ways. Let’s take a look at a few, starting with rounding currency.

### Example 1 – Round Down to the Next Nickel

Sometimes, presenting a price rounded down to the next nickel looks more attractive to a customer. Let’s look at how to do that.

The formula used in cell C2: `=FLOOR.MATH(A2,B2)`

We use the FLOOR.MATH function to round the Original Price to a `significance` of `\$0.05`. Since the function rounds down, it rounds `\$1.23` to \$1.20 in row 2 and rounds `\$1.27` down to \$1.25 in row 4. Google Sheets does not round the value in row 3 because it is already a multiple of `\$0.05`.

### Example 2 – Round Down to the Nearest Half-Hour

Next, let’s round some time values. It is common to refer to a time as a rounded value. In this example, we’ll round values down to the previous half-hour.

The formula used in cell C2: `=FLOOR.MATH(A2,B2)`

⚠️ You can enter a half hour as “`0:30`” or “`0:30:00`“. Either way, you’ll need to use custom formatting to remove the seconds, like in the example above in column B.

Rows 2 and 4 both get rounded down to the last half hour. As `1:30 PM` is already a multiple of 30 minutes, the FLOOR.MATH function does not change the time in row 3.

### Example 3 – Round With Different Significances

Up to this point, we have been changing the `number`. Now, let’s look at changing the `significance`. We’ll use positive and negative `significances` to see the differences.

You can see that positives move toward zero while the negatives move away from zero. If you want negative values to move toward zero, you must change the value of the `mode` argument. Let’s look at that in the following example.

### Example 4 – Rounding Negative Numbers with Different Modes

In previous examples, we did not specify a value for the `mode` argument. Now, we will use it to tell the function in which direction to round negative values.

In rows 2 through 4, the `mode` of `0` makes the function round negative values away from zero. Specifying a mode of `1` (or anything other than `0`) moves the values toward zero in rows 5 through 7.