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Ceiling Function Calculator

Find the smallest integer greater than or equal to a real number.

Ceiling

4

Formula

⌈x⌉ = min{n∈ℤ : n≥x}.

Ceiling ≈ ceil((3.2))

How to use

  1. Enter a real number.
  2. Keep the sign for negative values.
  3. Read its integer ceiling.

Examples

  • ⌈3.2⌉=4; ⌈−3.2⌉=−3.

Frequently asked questions

Does ceiling mean nearest integer?

No. It always rounds toward positive infinity.

What happens to negative numbers?

For example, −3.2 becomes −3.

Are integers changed?

No. The ceiling of 5 is 5.

Sources

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