# Documentation/Calc Functions/FLOOR.MATH

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## Function name:

FLOOR.MATH

## Category:

Mathematical

## Summary:

Rounds a number to the nearest multiple of a significance value.

For a positive number the function rounds down (towards zero). For a negative number, the direction of rounding is determined by the value of a mode parameter. The sign of the significance value is ignored.

## Syntax:

FLOOR.MATH(**Number** [; **Significance** [; **Mode**]])

## Returns:

Returns an integer value.

## Arguments:

**Number** is the value, or a reference to a cell containing the value, that is to be rounded. If **Number** is set to 0, FLOOR.MATH returns 0, irrespective of the value of **Significance**.

**Significance** (optional) is the value, or a reference to a cell containing the value, to whose multiple **Number** will be rounded. If omitted, the default is 1. If **Significance** is set to 0, FLOOR.MATH returns 0, irrespective of the value of **Number**. The sign of **Significance** is ignored by this function.

**Mode** (optional) is a number, or a reference to a cell containing a number. If **Mode** is given and not equal to zero, a negative **Number** is rounded up (towards zero). If **Mode** is equal to zero or is not given, a negative **Number** is rounded down (away from zero).

If the second (**Significance**) and third (**Mode**) arguments are omitted, the function implements a standard mathematical floor function. That is, for a real number x, its floor is the largest integer that is less than or equal to x.

## Additional details:

## Examples:

Formula | Description | Returns |
---|---|---|

=FLOOR.MATH(11.5) | rounds down 11.5 to nearest multiple of 1(default) | 11 |

=FLOOR.MATH(-11.5) | rounds down -11.5 to nearest multiple of 1(default) | -12 |

=FLOOR.MATH(-11;-2) | rounds down -11 to nearest multiple of 2, ignoring the sign | -12 |

=FLOOR.MATH(-10;-3;1) | rounds up -10 to nearest multiple of 3, ignoring the sign, under mode 1 which is not 0 hence result will be towards 0 | -9 |

=FLOOR.MATH(-11.67;-2;0) | rounds down -11.67 to nearest multiple of 2, ignoring the sign, under mode 0 i.e. away from 0 | -12 |

=FLOOR.MATH(-11.67;-2;1) | rounds up -11.67 to nearest multiple of 2, ignoring the sign, under mode 1 which is not 0 hence result will be towards 0 | -10 |

=FLOOR.MATH(11.5;-1) | rounds down 11.5 to nearest multiple of 1, ignoring the sign | 11 |

## Related LibreOffice functions:

## ODF standard:

None

## Equivalent Excel functions:

FLOOR.MATH