How to use the rounding calculator
- 1 Enter the number to round.
- 2 Choose what to round to: decimal places, tens, hundreds, thousands or significant figures.
- 3 Choose the method: half up, half even, up, down or truncate.
- 4 Read the rounded number and the table of common roundings.
Worked example
1,234.5678 rounded to two decimal places (half up). The third decimal is 7, so the hundredths digit rounds up: 1,234.57. The same number is 1,235 to the nearest whole number, 1,234.6 to tenths, 1,230 to the nearest ten, 1,200 to the nearest hundred and 1,000 to the nearest thousand.
Rounding the right way
- Look one digit to the right of the place you keep.
- 5 or more rounds up with standard rounding.
- Use banker's rounding for large sets of money or data.
- Round only at the end of a calculation to avoid errors.
Find percentages with the Percentage Calculator, averages with the Mean, Median and Mode Calculator, and fractions with the Mixed Number Calculator. Round circle measurements from the Circumference Calculator.
How it works: Rounding is done by shifting the decimal point with exponents rather than multiplying, which avoids the tiny binary errors that make some spreadsheets round 1.005 down. Significant figures are counted from the first non-zero digit.
Features
Every precision
Decimal places, tens to thousands and significant figures.
Five methods
Half up, banker's rounding, ceiling, floor and truncate.
Exact decimals
No floating-point slips like 1.005 becoming 1.00.
When to use it
Homework
Round answers the way the question asks. Count significant figures with the Significant Figures Counter.
Money
Round prices and totals to the cent. Work out percentages with the Percentage Calculator.
Statistics
Round results consistently with banker's rounding. Find averages with the Mean, Median and Mode Calculator.
Estimates
Round to the nearest hundred or thousand for quick estimates.
Related Math tasks
Frequently asked questions
How do you round a number?
Look at the digit right after the place you are rounding to. If it is 5 or more, round up; if it is 4 or less, keep the digit and drop the rest. 1,234.5678 to two decimal places is 1,234.57.
How do you round to the nearest ten?
Look at the ones digit. 1,234.5678 rounds to 1,230 because the ones digit, 4, is less than 5.
What does rounding to the nearest hundredth mean?
Keeping two decimal places. 3.14159 rounds to 3.14.
What is banker's rounding?
Round half to even: when a number is exactly halfway, it rounds to the nearest even digit. 2.5 becomes 2 and 3.5 becomes 4. It avoids an upward bias when rounding many numbers.
What are significant figures?
The digits that carry meaning, starting from the first non-zero digit. 1,234.5678 to 3 significant figures is 1,230; 0.004567 is 0.00457.
What is the difference between rounding down and truncating?
Rounding down (floor) always moves toward negative infinity; truncating just cuts off digits, moving toward zero. They differ for negative numbers: −2.7 floors to −3 but truncates to −2.
How do you round negative numbers?
With round half up, −2.5 is usually rounded to −3 (away from zero), the same way 2.5 rounds to 3.
Why does 1.005 sometimes round to 1.00 in spreadsheets?
Computers store decimals in binary, so 1.005 is really 1.00499999…. This calculator shifts the decimal point exactly before rounding, so 1.005 rounds to 1.01.
How do I round money?
Round to two decimal places (the nearest cent). Some systems use banker's rounding to stay fair over many transactions.
Can I round to the nearest 5 or 0.5?
Not directly. Divide by 5, round to a whole number and multiply by 5 again; for 0.5, double, round and halve.
What is rounding to the nearest whole number?
Dropping all decimals and rounding up if the first decimal is 5 or more. 7.5 becomes 8 and 7.49 becomes 7.
Why do we round numbers?
To make numbers easier to read, estimate and report, at a precision that matches how accurately they were measured.
Does rounding change the total?
It can. Rounding each item before adding can give a slightly different total than rounding the sum.
Built and reviewed by Hamza Farooq, founder and lead developer
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