# Python Float to Int

Summary: in this tutorial, you’ll learn how to convert a float to an integer.

Suppose that you have a float such as 20.3, and you want to convert it to an integer.

When you convert a float to an integer, you’ll have a data loss. For example, `20.3` may become `20` or `21`.

Python provides you with some functions in the `math` module for converting from a `float` to an `int`, including:

• Truncation
• Floor
• ceiling

## Truncation

The `trunc(x)` function returns the integer part of the number `x`. It ignores everything after the decimal point. For example:

`from math import trunc`

`print(trunc(12.2)) print(trunc(12.5)) print(trunc(12.7))`

Code language: Python (python)

Output:

`12 12 12`

Code language: Python (python)

Similarly, the int() constructor accepts a float and uses truncation to cast a `float` to an `int`:

`print(int(12.2)) print(int(12.5)) print(int(12.7))`

Code language: Python (python)

## Floor

The `floor(x)` function returns the largest integer less than or equal to `x`. For example:

`from math import floor`

`print(floor(12.2)) print(floor(12.5)) print(floor(12.7))`

Code language: Python (python)

Output:

`12 12 12`

Code language: Python (python)

The following shows how floor() function is applied to a positive number:

For positive numbers, `floor(x)` and `trunc(x)` return the same result. However, it’s not the case for negative numbers. For example:

The following picture shows how the `floor()` function is applied to a negative number:

`from math import floor, trunc`

`print(floor(-12.7)) print(trunc(-12.7))`

Code language: Python (python)

Output:

`-13 -12`

Code language: Python (python)

The following picture illustrates the difference between the `floor()` and `trunc()` function when you apply them to a negative number:

## Ceiling

The `ceil(x)` function returns the smallest integer greater than or equal to `x`. For example:

`from math import ceil`

`print(ceil(12.7))`

Code language: Python (python)

Output:

`13`

Code language: Python (python)

The following illustrates how the `ceil()` function is applied to a positive number:

This example uses the ceil() function for negative numbers:

`from math import ceil`

`print(ceil(-12.7)) `

Code language: JavaScript (javascript)

Output:

`-12`

The following illustrates how the `ceil()` function is applied to a negative number:

## Summary

• Convert a float to an int always results in a data loss.
• The `trunc()` function returns the integer part of a number.
• The `floor()` function returns the largest integer less than or equal to a number.
• The `ceil()` function returns the smallest integer greater than or equal to a number.