Hello Ninja, Welcome to the new article on the very used prebuilt function Math Ceil. Math Ceil is the function that is available to every programming language. It is very helpful in finding the nearest integer of the number.

In this blog, we will study the Math Ceil function and its usage, not this; only we will cover many topics like Working of Math Ceil, Applications of the Math Ceil, and Ceiling Function in Python and Javascript.

Ceiling Function

The ceiling function is a mathematical function that rounds a real number up to the nearest integer. They denote the ceiling function with ⌈x⌉, where x is a real number. For example, the ceiling of 3.14 is 4. It is very simple to understand. Just be with us; you will learn a lot.

The Math Ceil function is often used in computer science to round numbers to integers. For example, the following code rounds the number 3.14 to the nearest integer:

Code

import math
x=math.ceil(3.14)
print (x)

Output

What Is Math ceil()

Math.ceil() is a mathematical function in many programming languages, including JavaScript. It rounds a number up to the nearest integer. Regardless of the fractional part, Math.ceil() increases the number to the next whole number. For example, Math.ceil(4.1) returns 5, and Math.ceil(4.9) also returns 5. This function is often used when an operation requires rounding up to the next whole number.

Working of Math Ceil

The ceiling function works by rounding a real number up to the nearest integer. For example, the following numbers and their corresponding ceilings are shown below:

Below are examples of a few numbers.

Number

Ceiling

3.14

4

-2.3

-2

12.5

13

-12.5

-12

Applications of the Math Ceil

The ceiling function is often used in computer science to round numbers to integers. For example, this code changes the number 3.14 to the nearest integer 4. This function can also able to solve big problems in mathematics and physics.

Example

Write a Python function that takes the length and width of a rectangular room as input and returns the maximum number of square tiles that can fit in the room if each tile is 1-foot square.

Python Code

import math
def max_tiles(length, width):
# Here, we are calculating the area of the room with the easy formula l*b.
area = length * width
# Here is the number of tiles that can fit.
number_of_tiles = area / 1
# Here, we are using the Math Ceil function
return math.ceil(number_of_tiles)
# Here is an example of how to use the function:
print(max_tiles(12, 10))

Output

Ceiling Function in Python

We will use the Math Ceil function in Python.

Syntax

math.ceil(x)

Note: Where x is any real number.

Code

import math
print(math.ceil(3.14))

Output

Ceiling Function in JavaScript

Now we try to use the Math Ceil function in JavaScript.

Syntax

Math.ceil(x)

Note: Where x is any real number.

Code

console.log(Math.ceil(3.14));

Output

Ceiling function and the floor function

Math.ceil()

Math.floor()

Takes a single numeric value as input.

Takes a single numeric value as input.

It basically gives the smallest integer greater than or equal to the input value.

It basically gives the largest integer less than or equal to the input value.

Rounds up towards positive infinity.

Rounds down towards negative infinity.

Math.ceil(3.2)

Here the output is 4

Math.floor(3.2)

Here the output is 3

Math.ceil(4.8)

Here the output is 5

Math.floor(4.8)

Here the output is 4

Math.ceil(-2.5)

Here the output is -2

Math.floor(-2.5)

Here the output is -3

Frequently Asked Questions

In which programming languages the Math Celi function is available?

The ceiling function is likely available in all programming languages, I have already covered the syntax for Python and Javascript languages.

What does the Math.ceil() function do?

The Math.ceil() function in JavaScript returns the smallest integer greater than or equal to a given number, rounding it up towards positive infinity.

How does Math.ceil() round a number?

Math.ceil() always rounds a number up to the next whole number, disregarding the decimal part and moving towards positive infinity.

Can Math.ceil() be used for rounding decimal places?

No, Math.ceil() is specifically designed to round the number to the nearest to its integer. It does not handle decimal places.

What is the difference between ceil () and floor () methods?

ceil() and floor() are mathematical functions with opposite behaviors. ceil() rounds a number up to the nearest integer, even if the fractional part is less than 0.5. In contrast, floor() rounds a number down to the nearest integer, ignoring the fractional part.

Conclusion

In this article, we have tried to cover the prebuilt function of Math Ceil. We have also tried to understand its application of it by covering the syntax of Python and Javascript.

If you want to explore the Ceil Function in Python and C language, check out the articles below.