Number Fundamentals & Precision

Rounding Calculator

Round an exact decimal by place or significant figures with an explicit rule.

Exact arithmetic

Choose precision and rounding rule

Seven exact modes

Rounded value

Enter valid values to see the result.

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Quick guide

How to use this calculator

  1. Enter a finite decimal.
  2. Choose decimal places or significant figures.
  3. Choose the rounding mode before reading the result.

Calculation method

Quotient and remainder decide the direction

The calculator divides by the target power of ten exactly, compares the discarded remainder with half the divisor, then applies the selected tie and direction rule.

Worked example

A half-even tie

At zero decimal places, 2.5 is exactly halfway. The retained 2 is even, so half-even keeps it.

roundHalfEven(2.5) = 2

Supported inputs

Precision and limits

Exact decimal input

Finite decimals use integer-scaled arithmetic, with no binary floating-point conversion.

Input boundary

Unless stated otherwise, use at most 200 digits total and 100 digits after the decimal marker.