RoundBench

Ceiling / Floor Calculator

Round up (ceiling), down (floor), or to the nearest integer.

Three different kinds of 'round'

Ceiling always rounds up (⌈3.1⌉ = 4), floor always rounds down (⌊3.9⌋ = 3), and standard rounding picks whichever is nearer — three genuinely different operations that are easy to mix up.

Why the distinction matters

If you're calculating how many boxes are needed to ship 3.2 pallets' worth of goods, you need the ceiling (4 boxes) — regular rounding would incorrectly say 3 and leave goods behind.

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RoundBench

Ceiling / Floor Calculator

Round up (ceiling), down (floor), or to the nearest integer.

Number

Ceiling ⌈n⌉

Floor ⌊n⌋: 3
Round: 4

What you entered

Number: 3.7

1
Ceiling (round up)
⌈3.7⌉= 4
2
Floor (round down)
⌊3.7⌋= 3
3
Nearest (standard rounding)
round(3.7)= 4

Result

Ceiling ⌈n⌉: 4

3.7 rounds up to 4, down to 3, and to the nearest whole number as 4.

Three different kinds of 'round'

Ceiling always rounds up (⌈3.1⌉ = 4), floor always rounds down (⌊3.9⌋ = 3), and standard rounding picks whichever is nearer — three genuinely different operations that are easy to mix up.

Why the distinction matters

If you're calculating how many boxes are needed to ship 3.2 pallets' worth of goods, you need the ceiling (4 boxes) — regular rounding would incorrectly say 3 and leave goods behind.