Math

Ceiling Function Calculator

Round a number up to the nearest integer.

Calculated Output

⌈x⌉ 5

Formula: ⌈x⌉ = smallest integer ≥ x

Step-by-Step Breakdown

1. Values used:

2. Number = 4.2

4. ⌈x⌉ = 5

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The math behind it

⌈x⌉ is the smallest integer that is greater than or equal to x. For integers, the ceiling is the number itself.

⌈4.2⌉ = 5, and ⌈−4.2⌉ = −4.

How does it treat negatives?

It rounds toward positive infinity, so ⌈−4.2⌉ = −4.