Rounding Calculator | Decimal Place & Sig Figs Solver
Round numbers to specific decimal places or significant figures. Apply Banker
Rounded Value
123.46
Visual Digit Analyzer
123.4567
Target Digit (5)
Deciding Digit (6)
The deciding digit is 6. Since it is 5 or greater, the target digit is rounded UP.
Alternative Rules Comparison
| Rounding Rule | Resulting Value | Difference |
|---|---|---|
| Round Half Up (Math) ★ | 123.46 | +0.003300 |
| Banker's (Half to Even) | 123.46 | +0.003300 |
| Round Up (Ceiling) | 123.46 | +0.003300 |
| Round Down (Floor) | 123.45 | -0.006700 |
Step-by-Step Mathematical Derivation
1. Decimal place rounding mode. Target decimal place exponent: -2.
2. Scale the original number by 10^(--2) (= 100): scaled value = 12345.670000
3. Scaled integer portion = 12345, fractional part = 0.670000
4. Rule: Round Half Up. Since fractional part is >= 0.5, round UP.
5. Scale back by dividing by 10^(--2) → Final rounded result = 123.46