Round to nearest hundredth
Standard rounding checks the next digit and rounds up at 5 or greater.
123.456 rounded to 2 decimals
Result: 123.46
Rounding Calculator
Use this rounding calculator to round numbers to a specific number of decimal places using different rounding methods: round to nearest, ceiling, floor, or truncate.
Rounding Calculator
Enter a number, select a rounding method and decimal places, then click Calculate to see the result with step-by-step solution.
Result
What is Rounding?
Rounding is a mathematical operation used to reduce the precision of a number by removing decimal places while trying to keep the value as close as possible to the original number.
Rounding is commonly used in finance, engineering, statistics, and everyday calculations where exact precision isn't necessary or practical.
Rounding Methods
- Round to Nearest: Rounds to the nearest value. If the digit to be rounded is 5 or greater, it rounds up; otherwise, it rounds down.
- Ceiling (Round Up): Always rounds up to the next highest value, regardless of the digit being rounded.
- Floor (Round Down): Always rounds down to the next lowest value, regardless of the digit being rounded.
- Truncate: Simply removes decimal digits beyond the specified precision without rounding.
How to Use the Rounding Calculator
- Enter the number you want to round in the 'Number to Round' field.
- Select the rounding method you want to use (Round to Nearest, Ceiling, Floor, or Truncate).
- Choose the number of decimal places you want in the result.
- Click 'Calculate' to see the rounded result and step-by-step explanation.
Use standard rounding for everyday estimates, ceiling when values must be rounded up, floor when they must not exceed a limit, and truncate when you want to remove extra decimals without rounding.
Applications of Rounding
- Financial calculations where cents or small amounts need to be handled consistently.
- Engineering and scientific measurements where precision has practical limits.
- Statistics and data analysis for simplifying large datasets.
- Computer programming where floating-point precision needs to be controlled.
Rounding Examples
Use ceiling for upper limits
Ceiling always rounds upward, which is useful for shipping, pricing, or capacity estimates.
8.201 with ceiling to 1 decimal
Result: 8.3
Truncate without rounding
Truncation removes extra digits but does not increase the value.
9.987 truncated to 2 decimals
Result: 9.98
Rounding Calculator FAQ
What is the difference between rounding and truncating?
Rounding changes the last kept digit based on the next digit. Truncating simply removes extra digits and never rounds the value up.
When should I use ceiling instead of normal rounding?
Use ceiling when the result must always be rounded upward, such as estimating boxes, seats, pages, or any quantity that cannot be fractional.
When is floor rounding useful?
Floor rounding is useful when you need a value that does not exceed a threshold, such as budget caps, inventory limits, or conservative estimates.
Can this calculator round to whole numbers and decimals?
Yes. Set decimal places to 0 for whole-number rounding, or choose any supported decimal precision for more detailed results.