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Home/Formula Library/Rounding

Rounding

Replace a number with a nearby simpler approximation.

General

  • Percentage proportion
  • Percent error
  • Ratio and proportion
  • Rounding
  • Exponentiation
  • Nth root
  • Fraction arithmetic
  • Long division
  • Order of operations (PEMDAS)

Formula

round(value × 10^p) / 10^p · or nearest k/n

Explanation

Place rounding scales by 10^p, applies a rounding mode (half-up, half-even, floor, ceiling), then scales back. Fraction rounding snaps to the nearest k/n. Significant figures keep a fixed count of meaningful digits.

Variables

  • valuethe number to round
  • pdecimal place precision (or equivalent fraction / sig-fig setting)

When to use

Reporting measurements, money, engineering tolerances, and display formatting.

Use this formula

Calculators

  • Rounding Calculator→

Related formulas

  • Arithmetic and weighted meanmean = sum / count · weighted = Σ(x w) / Σw
  • Scientific notationRewrite as significand × 10^exponent (normalized scientific form)

Other categories

  • Statistics
  • Cooking & apparel
  • Data & digital
  • Electricity & magnetism
  • Encodings & numbers
  • Date & time
Formula Library→

Popular

  • Percentage proportion
  • Arithmetic and weighted mean
  • Exponentiation
  • Fraction arithmetic
Formula Library→