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Round Up Calculator

Round Up Calculator works out Rounded value and Rounded value (formatted) from Number to round, Decimal places and Place value. The default figures on this page give rounded value of 1,234.57; change any entry and the result, the working and the sources update together.

Rounded value
1,234.57
Rounding Calculator
Rounded value (formatted)
1,234.57
Rounded minus original
0.003
Rounded toward -infinity
1,234.56
Rounded toward +infinity
1,234.57
Rounding step (place value)
0.01
Rule applied
2 decimal places, round away from zero
Worked out from IEEE Std 754-2019, Standard for Floating-Point Arithmetic, §4.3 Rounding-direction attributes (roundTiesToEven, roundTowardZero, roundTowardPositive, roundTowardNegative) and 1 other source.

Your figures

Updates as you type
Negative values round to the left of the decimal point (-2 rounds to hundreds).
Only used when estimating a sum. Each number is rounded to the chosen place value before they are added.

How this is worked out

4 steps
  1. Rounding 1234.567 to 2 decimal places using "round away from zero".
  2. The rounding step is 0.01, so the neighbours are 1234.56 and 1234.57.
  3. 1234.567 / 0.01 = 123456.7, which the rule sends to 123457.
  4. 123457 x 0.01 = 1234.57

Its 7 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

2 sources

What the Round Up Calculator calculates

Rounds a number to a chosen number of decimal places, a named place value, the nearest multiple, or a number of significant figures, under any of the standard tie-breaking rules including half away from zero and banker's half-to-even, and estimates a sum by rounding every addend to a place value before adding them.

How to use this Round Up Calculator

Enter Number to round, Decimal places, Place value and Significant figures. Rounded value updates as you type. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Rounded value, Rounded value (formatted) and Rounded minus original.

The method follows IEEE Std 754-2019, Standard for Floating-Point Arithmetic, §4.3 Rounding-direction attributes (roundTiesToEven, roundTowardZero, roundTowardPositive, roundTowardNegative) and NIST Special Publication 811, Guide for the Use of the International System of Units, Appendix B.7 "Rounding converted numerical values".

What you can compare

Change one input at a time to see how it affects Rounded value, Rounded value (formatted) and Rounded minus original. The inputs you can vary are Number to round, Decimal places, Place value, Significant figures and Numbers to add.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

How to round up numbers on a calculator?

Rounds a number to a chosen number of decimal places, a named place value, the nearest multiple, or a number of significant figures. Open “How this is worked out” beside the result to see each step for your own figures.

How to calculate round up?

It needs Number to round, Decimal places, Place value, Significant figures and Numbers to add. Nothing else is required, and the figures stay in your browser.

How do I round a number to two decimal places?

The result gives Rounded value, Rounded value (formatted), Rounded minus original, Rounded toward -infinity, Rounded toward +infinity and Rounding step (place value), each labelled with its unit so the figure can be read on its own.

What information do I need for the Round Up Calculator?

You need Number to round, Decimal places, Place value, Significant figures and Numbers to add. The page opens with default figures that give rounded value of 1,234.57, so you can see the scale before entering your own.

What does this Round Up Calculator show?

It shows Rounded value, Rounded value (formatted), Rounded minus original, Rounded toward -infinity, Rounded toward +infinity, Rounding step (place value), Rule applied and Estimated sum (rounded numbers added), with the working and any warnings for your entries.

Can I check how the Round Up Calculator result was calculated?

Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.

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