# Math Floor And Math Ceiling In Javascript

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Michael Zippo
04.11.2021

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*Python’s ceil () function rounds a number to the nearest integer or whole number. Python floor () rounds decimal places to the nearest whole number. These two functions are part of the Python math library.*

While programming in Python, you may come across a scenario where you want to round a number to the nearest whole number.

This is where the Python *math.floor ()* and *math.ceil ()* methods come into play. You can use *math.floor () * to calculate the integer closest to a decimal number. The *math.ceil ()* method rounds a number to the nearest whole number.

This tutorial will cover using *floor* and *ceil* to return the minimum or maximum value of a given value. Esamineremo esempi di ciascuno di questi metodi in un programma per mostrare come funzionano.

## Funzione Python Floor

Il metodo Python math.floor () arrotonda a number per difetto at the intero pi√π neighbor. This method takes one argument: the number you want to return. In Python 3, math.floor () returns an integer value.

Calculating the floor of a number is a common mathematical function in Python. The *plane* of a number refers to the nearest Python integer that is less than or equal to the number . To put it another way, the floor of a number is the number rounded to its nearest integer value.

The Python math module includes a method that can be used to calculate the floor of a number: *math.floor ()*. *math.floor ()* accepts one parameter, which is the number whose floor value you want to calculate.

Here is the syntax for *floor () * function:

The Python division function *floor ()* is part of the math library. To use it, you must first import the math library. You can import the math library into your program using an Python import statement .

### Floor () Python example

Let’s say we are working in a bar. We want to create a calculator that rounds the quantities of grain we have available to their number nearest integer. This makes it easier for us to determine how much coffee we have left.

We could round the amount of a bean to the nearest whole number using the following code:

Our code returns the smallest integer closest to 250.92, that is: *250*.

In the first line, we import the math library. Then we define a Python variable called *quantity*. This variable stores the amount of grain we have in stock. We use the function *math.floor ()* to round the variable *quantity* to the nearest integer.

In this case, the integer closest to 250.92 is equal to 250. Our code returned 250.

We can use the method *math.floor () * on negative numbers. Let’s say we write a program that calculates how many beans we will have left at the end of the month.

Our program has predicted that, given the number of sales we’ve seen so far, we’re going to have a negative amount of beans. In other words, we’re going to run out of beans. We print the output of math.floor () to the console.

We want to round our value to the nearest whole number. This will allow us to know the quantity of beans to order, depending on the current demand:

Our code returns: *-26*.

The program defaults to rounding our negative value to the nearest integer, which in this case is -26.

## Pyt hon Ceil

The *math.ceil ()* method is the opposite of the *math.floor () * method. math.ceil () rounds a number to the nearest whole number. Like math.floor (), math.ceil () returns an integer value.

While *floor* rounds a number to the nearest integer, *ceil * rounds a number to the nearest integer.

Here is the syntax of the *math.ceil ()* method:

The syntax of the ceil function is the same as that of *math. floor ()*. Both methods take one parameter: the number that you want to process using the method. The ceil () function returns the maximum number of a float, or the nearest largest integer.

### ceil () Python Example

Let’s discuss an example of the *math.ceil ()* method in action. Let’s say we’ve decided that we want to calculate the maximum value for each amount of grain. In other words, we want to know the smallest whole above each amount of bean. We want to calculate this so we know how many beans to order in our next shipment.

We could use the following code to round the amount of beans we have to the nearest whole number:

Our code returns: *23*. The *math.ceil ()* function rounded our quantity to the nearest integer not less than the quantity, which in this case is 23.

Similarly, you can use *math.ceil ()* on negative numbers. Let’s use the sample program we talked about earlier to show how this works. Instead of finding the minimum value of our remaining quantity, we want to find the maximum value. We could do it using this program:

Our code returns: *-26*. Our program rounded our projection of the quantity to the nearest integer, which in this case was -26.

## Python Floor Division and Ceil vs. Round

The Python *round ()* method finds the nearest number, which can include decimal places, while *math.floor ()* and < em> ceil () respectively round to the nearest *integer ()*.

If you want to round a number like 105.2529 to two decimal places, you should use *round ()* instead of *floor ()* or * ceil ()*.

If you want to learn more using the *round ()*, take a look at our tutorial on Python Rounding .

## Conclusion

The *math.floor ()* method rounds a number to the nearest whole number. The *math.ceil ()* method rounds a number to the nearest integer.

This tutorial has been covered on the use of the two *math functions. floor () * and *math.ceil ()* to round numbers in Python. We looked at an example of each of these methods in a program.

To learn more about coding in Python, read our How To Learn Python Help .

👻 *Read also: what is the best laptop for engineering students?*

Is there a ceiling equivalent of // operator in Python?

1 answers

I found out about the `//`

operator in Python which in Python 3 does division with floor.

Is there an operator which divides with ceil instead? (I know about the `/`

operator which in Python 3 does floating point division.)

165

Answer #1

You can just do upside-down floor division:

```
def ceildiv(a, b):
return -(-a // b)
```

This works because Python"s division operator does floor division (unlike in C, where integer division truncates the fractional part).

This also works with Python"s big integers, because there"s no (lossy) floating-point conversion.

Here"s a demonstration:

```
>>> from __future__ import division # a/b is float division
>>> from math import ceil
>>> b = 3
>>> for a in range(-7, 8):
... print(["%d/%d" % (a, b), int(ceil(a / b)), -(-a // b)])
...
["-7/3", -2, -2]
["-6/3", -2, -2]
["-5/3", -1, -1]
["-4/3", -1, -1]
["-3/3", -1, -1]
["-2/3", 0, 0]
["-1/3", 0, 0]
["0/3", 0, 0]
["1/3", 1, 1]
["2/3", 1, 1]
["3/3", 1, 1]
["4/3", 2, 2]
["5/3", 2, 2]
["6/3", 2, 2]
["7/3", 3, 3]
```

We hope this article has helped you to resolve the problem. Apart from Math Floor And Math Ceiling In Javascript, check other __main__ Python module-related topics.

Want to excel in Python? See our review of the best Python online courses 2023. If you are interested in Data Science, check also how to learn programming in R.

By the way, this material is also available in other languages:

Dmitry Danburry

Texas | 2023-01-31

ceil is always a bit confusing 😭 Math Floor And Math Ceiling In Javascript is not the only problem I encountered. I just hope that will not emerge anymore

Frank OConnell

Prague | 2023-01-31

I was preparing for my coding interview, thanks for clarifying this - Math Floor And Math Ceiling In Javascript in Python is not the simplest one. Will use it in my bachelor thesis

Chen Danburry

Prague | 2023-01-31

Rar PHP module is always a bit confusing 😭 Math Floor And Math Ceiling In Javascript is not the only problem I encountered. Will get back tomorrow with feedback

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