Math / CALCULATOR

Exact Decimal Rounding

Exact Decimal Rounding: clear inputs, an explicit method and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
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Your inputs

Adjust the values to explore a different result.

Plain decimal notation; no commas or scientific notation.
Enter decimal places.

Formula

Round to the nearest decimal quantum; an exact halfway value rounds away from zero.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Exact decimal-string rounding avoids binary floating-point tie errors. Up to 80 digits and 20 fractional places; output has exactly the requested number of places.

Example Calculation

Example inputs
  • Number: 1.005
  • Decimal places: 2

1.005 rounds to 1.01 at two decimal places; −1.005 rounds to −1.01.

Frequently asked questions

How do I use this calculator?

Enter number, decimal places. The result updates automatically. Use Reset to restore the example values.

What method does it use?

Round to the nearest decimal quantum; an exact halfway value rounds away from zero.. Exact decimal-string rounding avoids binary floating-point tie errors. Up to 80 digits and 20 fractional places; output has exactly the requested number of places.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.