By Zencalcy Editorial TeamLast reviewed About us
The ceiling function ⌈x⌉: the smallest integer ≥ x. Rounds up toward +∞ — so ⌈−3.2⌉ = −3, not −4. Whole numbers stay unchanged.
Round up to the nearest integer — negatives handled correctly.
ceil(x) = smallest integer n with n ≥ x
| Symbol | Meaning |
|---|---|
| x | Any real number |
⌈4.3⌉ = 5, ⌈−4.3⌉ = −4, ⌈7⌉ = 7.
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Round goes nearest; ceiling always goes up (toward +∞).
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Content updated: September 2026