Floor

# Floor function arithmetic

## What is a floor function in math?

The FLOOR. MATH function rounds a number down to the nearest integer or a multiple of specified significance, with negative numbers rounding toward or away from zero depending on the mode.

## How do you represent floor function?

The floor function is the function f with f(x) = ⌊x⌋, for all real numbers x. It is also called the greatest-integer function, or the rounding-down function. On some calculators and in some computer languages it is called the int function. Another notation you may see for the floor function is f(x) = x .

## What is floor function example?

The floor and ceiling functions give us the nearest integer up or down.
...
Example: What is the floor and ceiling of 5?

xFloorCeiling
000
1.0112
2.923
333

## What is a floor equation?

In mathematics and computer science, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted floor(x) or ⌊x⌋. ... Some authors define the integer part as the floor regardless of the sign of x, using a variety of notations for this.

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