justyourcalculatorRounding Calculator
Round any number exactly, the way your class or spreadsheet does.
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Rounding Calculator
Round to decimals, places or significant figures
Rounded
1,234.57
- Round half up
- 1,234.57
- Round half down
- 1,234.57
- Round half away from zero
- 1,234.57
- Round half toward zero
- 1,234.57
- Round half to even (banker's)
- 1,234.57
- Round half to odd
- 1,234.57
- Ceiling (always up)
- 1,234.57
- Floor (always down)
- 1,234.56
- Round away from zero
- 1,234.57
- Truncate (toward zero)
- 1,234.56
How it was calculated
- Round 1,234.56789 to the 2 decimal places place with "Round half up".
- The first dropped digit is 7.
- Result: 1,234.57
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How the rounding calculator works
Rounding keeps a number to a chosen place and adjusts the last kept digit based on the digits dropped. The usual school rule, round half up, rounds 5 and above up: 2.675 to two decimals is 2.68.
Other rules exist for ties (exactly 5 followed by zeros): half down, half away from or toward zero, and half to even (banker's rounding, used by many spreadsheets and IEEE 754), which rounds 2.5 to 2 and 3.5 to 4 so errors cancel out. Ceiling always rounds up, floor always down, and truncate just cuts the digits off.
Significant figures count from the first nonzero digit, so 0.004567 to 3 significant figures is 0.00457. This calculator works on the decimal digits you type, so it never suffers from binary floating-point surprises.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
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