Rounding Calculator
Round numbers to any place value: nearest whole number, tenth, hundredth, thousandth, or significant figures.
Examples: 0 → whole number, 2 → hundredths
Rounded Result
-
Comparison
| Original: | - |
| Rounded: | - |
| Difference: | - |
Rounding Rule Used
-
Step-by-Step Solution
Enter a number and rounding options, then click "Round Number" to see the step-by-step solution.
Rounding Rules
- Standard: 5+ rounds up, 4- rounds down
- Round Up: Always rounds away from zero
- Round Down: Always rounds toward zero
- Floor: Rounds down to the nearest integer
- Ceiling: Rounds up to the nearest integer
- Banker's: Rounds half to the nearest even digit
Place Value Guide
- Ones: 3.14 → 3
- Tenths: 3.141 → 3.1
- Hundredths: 3.141 → 3.14
- Thousandths: 3.1415 → 3.142
- Tens: 23.5 → 20
Significant Figures
- 1 sig fig: 3.141 → 3
- 2 sig figs: 3.141 → 3.1
- 3 sig figs: 3.141 → 3.14
- 4 sig figs: 3.1415 → 3.142
- Leading zeros not counted
Rounding Examples
| Number | Round to | Result | Rule Applied |
|---|---|---|---|
| 3.14159 | 2 decimal places | 3.14 | 3rd digit is 1 < 5 |
| 3.145 | 2 decimal places | 3.15 | 3rd digit is 5 → round up |
| 2.675 | 2 decimal places | 2.68 | Banker's: 2.68 (even) |
| 123.45 | Tens | 120 | Round down to nearest 10 |
| 0.00456 | 2 sig figs | 0.0046 | Leading zeros ignored |
| -3.6 | Floor | -4 | Floor rounds down |