Rounding Calculator — Round to Any Place or Multiple

Rounding replaces a number with a nearby simpler one — to a place value such as tens or hundredths, or to the nearest multiple of something like 0.05 or 25 (cash rounding, pricing, packaging). This rounding calculator does the arithmetic on the exact decimal digits you type, so halfway cases like 1.005 round correctly, and it offers every common rule: half up, half to even (banker's), ceiling, floor, truncation and the rest.

How to use this tool

1. Enter the number exactly as you have it.
2. Choose the place to round to, or "Nearest multiple of…" and enter the multiple.
3. Pick the method — "half up" is ordinary school rounding.
4. Compare the results at every place and with every method in the two tables.

Formula

Rounded = q × u, where q is x ÷ u adjusted by the method and u is the place or multiple

For half up, look at what remains after the rounding place: under half rounds down, half or more rounds away from zero (2.5 → 3, −2.5 → −3). Half to even sends exact halves to the even neighbour (2.5 → 2, 3.5 → 4). Ceiling always goes up toward +∞, floor always down toward −∞, and truncation simply drops the extra digits.

Example

Rounding 1234.5678 to the hundredths place: the digits after it are 78, more than half, so the answer is 1234.57. To the nearest thousand it is 1000. Rounding 2.37 to the nearest 0.05 gives 2.35, and 113 to the nearest 25 gives 125.