Rounding Calculator
Round numbers to decimal places, significant figures or the nearest multiple, with half-up, banker’s rounding, floor, ceiling and more.
Your inputs
Results
2 decimal places
2.68
✓Exact calculation — rounded only for display
What this calculator does
Different fields use different rounding rules. This tool rounds on exact decimal digits, so 2.675 becomes 2.68 as expected, not 2.67.
Formula and method
The shortest exact decimal representation is rounded digit by digit using the chosen rule.
Worked example
Calculated by this tool with its default inputs:
Inputs
- Number: 2.675
- Round to: Decimal places
- Places / figures: 2
- Rounding rule: Half up (away from zero) — common rounding
Results
- 2 decimal places: 2.68
How to read the results
Banker’s rounding (half to even) reduces bias when many values are rounded and summed.
Assumptions and limitations
- Negative decimal places round to tens, hundreds and so on.
Questions
Why does some software round 2.675 down?
Because 2.675 cannot be stored exactly in binary; this tool works on the decimal digits you typed.
Methodology and verification
- Result type
- Exact mathematical calculation (rounded only for display)
- Formula version
- 1.0
- Automated verification
- 9 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
- Editorial review
- Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.
Privacy
Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy