⌈x⌉ Ceiling Calculator

Find the ceiling of a number, the smallest integer greater than or equal to the input.

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Also available in our Android app, with charts and full breakdown tables.

📘 About the Ceiling

Ceiling is a standard mathematical rounding-up function.

For positive numbers it moves upward to the next integer when a fractional part is present.

🧮 Formula

Ceiling function
ceil(x)

Where

  • x = input number
Ceiling is distinct from ordinary nearest-integer rounding.

✏️ Worked examples

Ceiling of 7.2

You enter
Number7.2
You get
Ceiling8

The result is 8.

Try this example →

Ceiling of -2.1

You enter
Number-2.1
You get
Ceiling-2

The result demonstrates that ceiling moves toward positive infinity.

Try this example →

🧭 How to use this calculator

What you enter

  • Number

What you get

  • Ceiling

💡 Ceiling versus rounding

  • Ceiling always moves toward positive infinity.
  • It does not choose the nearest integer.
  • For an exact integer, the ceiling is the number itself.

❓ Frequently asked questions

What is the ceiling of a number?

It is the smallest integer greater than or equal to the number.

What is the ceiling of -2.1?

It is -2.