Rounding, Significant Figures & Precision Calculator
Round numbers to specified decimal places or integer factors, convert to significant figures, and compare professional rounding modes
Rounded Output Result
123.46
Standard Half-Up Rule
Target Place: Hundredths (10⁻²) • Original: 123.456789
Absolute Rounding Error (|x_orig – x_rnd|)
0.003211
Discrepancy magnitude
Relative Percentage Error
0.0026%
Precision deviation share
Scientific Notation Form
1.2346 × 10²
Mantissa × 10ⁿ scale
Nearest Integers Bracket
123 ≤ 123.46 ≤ 124
Floor and ceiling integer bounds
Rounded to 3 Significant Figures
0.00459
3 Significant Digits
Scientific Form: 4.59 × 10⁻³ • Leading zeros excluded
Scientific Notation Output
4.59 × 10⁻³
Normalized mantissa form
Order of Magnitude (Power of 10)
10⁻³
Milli- scale range
Trailing Zeros Status
None Significant
Placeholder zeros omitted from count
Absolute Rounding Error
0.0000008
Precision truncation difference
Try values like 2.5, 3.5, -2.5, 2.51 to test rounding algorithms
Rounding Algorithm
Result
Behavior Rule
Why Banker’s Rounding?
Unbiased Accumulation
Eliminates upward statistical drift in large sums
Standard Half-Up Bias
Asymmetric Upward
Always rounds .5 away from zero