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Rounding Calculator

Round any number to a specified number of decimal places, rounding up, down, or to the nearest value.

About the Rounding Calculator

Rounding trims a number to a manageable number of decimal places, and the direction you round matters for things like billing, measurements, and reporting. This calculator supports rounding to the nearest value, always rounding up, or always rounding down, to any number of decimal places.

How It Works

The calculator multiplies the number by 10 raised to the power of the decimal places you want, applies the chosen rounding function (nearest, ceiling for always-up, or floor for always-down), then divides back down to restore the correct decimal position.

Rounded = round_mode(Number × 10^places) / 10^places, where round_mode is nearest, ceiling (up), or floor (down).

Example

Scenario: Rounding 3.14159 to 2 decimal places, rounding to nearest.

Result: 3.14.

Assumptions & Limitations

  • 'Round to nearest' uses standard rounding, where a value exactly halfway rounds to the nearest even increment as is typical in most calculators.
  • Decimal places of 0 rounds to the nearest whole number.
  • Negative decimal places (rounding to the nearest ten, hundred, etc.) are not supported in this version — enter the number pre-scaled if needed.

Frequently Asked Questions

When would I always round up instead of to nearest?
Always rounding up is common in billing and inventory contexts where underestimating could cause a shortfall — for example, rounding up the number of tiles or bags of material needed for a project.
What is the difference between rounding and truncating?
Rounding looks at the digit after the cutoff point to decide whether to round up or down, while truncating simply cuts off the extra digits without considering their value — 'always round down' behaves like truncation for positive numbers.
How do I round to the nearest whole number?
Set decimal places to 0 and choose 'Round to Nearest' to get standard whole-number rounding.

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