Rounding Calculator
Round numbers to any decimal place with multiple rounding modes. See original vs. rounded values side by side.
Rounded Value
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Original
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Difference
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Rounding Direction
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All Places
How to Use the Rounding Calculator
- Enter a number: Type or paste any number.
- Select decimal place: Choose how many decimal places to round to.
- Choose rounding mode: Standard rounding (half up) is selected by default.
- View results: See the rounded value, difference, and a table of all rounding places.
Rounding Modes Explained
| Mode | Rule | Example (2.5) |
|---|---|---|
| Half Up | Round 5 up (standard) | 3 |
| Half Down | Round 5 down | 2 |
| Ceiling | Always round up | 3 |
| Floor | Always round down | 2 |
| Half Even (Banker's) | Round 5 to even | 2 |
Frequently Asked Questions
What is banker's rounding?
Banker's rounding (or round half to even) rounds 0.5 to the nearest even number. For example, 2.5 rounds to 2 and 3.5 rounds to 4. This reduces rounding bias over many calculations.
When should I use different rounding modes?
Use "Half Up" for general math. Use "Banker's Rounding" for financial and statistical work to reduce cumulative bias. Use "Ceiling" or "Floor" when you need to always round in one direction (e.g., pricing, resource allocation).
What is the difference between rounding and truncating?
Rounding adjusts a number to the nearest value at a given precision, while truncating simply removes extra digits without adjusting. For example, rounding 2.7 to a whole number gives 3, but truncating gives 2.