The math.floor() function in Python is used to return the largest integer that is less than or equal to a given number. This function is useful when you need to round a floating-point number down to the nearest whole number.

Syntax

import math
result = math.floor(x)

• x: A numeric expression (integer or float) for which you want to find the floor value.

Return Value

• Returns the largest integer less than or equal to x, which is of type int.

Examples

1. Rounding down a positive float:

   import math
   
   result = math.floor(4.8)
   print(result)  # Output: 4
   

2. Rounding down a negative float:

   result = math.floor(-3.2)
   print(result)  # Output: -4
   

3. Rounding an integer: If you pass an integer to math.floor(), it will return the integer itself.

   result = math.floor(7)
   print(result)  # Output: 7
   

4. Rounding down a float that is already an integer:

   result = math.floor(5.0)
   print(result)  # Output: 5
   

5. Using math.floor() with complex expressions: You can use math.floor() in expressions:

   a = 3.9
   b = 2.1
   result = math.floor(a + b)
   print(result)  # Output: 6
   

6. Rounding very small decimal numbers:

   result = math.floor(0.7)
   print(result)  # Output: 0
   

Summary

• The math.floor() function returns the largest integer less than or equal to the input value.
• It works with both integers and floating-point numbers.
• The return type is always int.
• This function is particularly useful in scenarios where you need to ensure that a value is rounded down, such as calculating the number of items that can fit into a fixed number of containers or pages.