Math & Everyday
Rounding Calculator
Round to a decimal place, nearest integer, or nearest multiple — with a rounding mode you choose.
🔒 Runs entirely in your browser — nothing here is ever uploaded
CalcoTools · Rounding Calculator · generated 9/5/2026, 4:03:31 PM
About the Rounding Calculator
Rounds a number to a chosen precision — nearest integer, a specific number of decimal places, or the nearest multiple of any number — using round-half-up, floor, or ceiling.
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How to use it
- Enter your number.
- Choose what to round to: decimal places, nearest integer, or nearest multiple of N.
- Pick a rounding mode — round half up, round down (floor), or round up (ceiling).
- Read the rounded result.
Formula
Decimal rounding shifts the decimal point via the number's own string representation before rounding, avoiding binary floating-point errors; nearest-multiple rounding divides by N, rounds, then multiplies back by N.
Worked example
1.005 rounded to 2 decimal places with round-half-up gives 1.01 — a naive Math.round(1.005*100)/100 in JavaScript would incorrectly give 1.00, since 1.005 can't be stored exactly in binary.
Recommendations
- • Round down (floor) is useful when you must not exceed a value, like how many full boxes fit.
- • Round up (ceiling) is useful when you must cover a full amount, like how many delivery trucks are needed.
- • Rounding to the nearest multiple (like nearest 5 or 100) is common for pricing or bulk quantities.
Frequently asked questions
1.005 can't be stored exactly in binary floating-point — it's actually stored as slightly less than 1.005, so a naive Math.round(value*100)/100 mis-rounds it down. This tool shifts the decimal point via the number's text representation instead, which avoids that error.
Related searches
Sources
- IEEE 754 floating-point standard — accessed 2026-09-05