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Rounding Calculator

Round numbers to decimal places, significant figures, or nearest increments with multiple rounding methods.

Last Updated: May 2026

Rounded result

20

Original number

19.995

Absolute change

0.005

Method

Nearest, halves up

Rounding Inputs

Round a number to decimal places, significant figures, or a custom increment.

Use decimals, commas, negatives, or scientific notation.

Whole number from 0 to 12.

Whole number from 1 to 15.

Examples: 0.05, 0.5, 25, 100.

Rounding Steps

StepValueMeaning
Original number19.995Parsed finite numeric value.
Rounding targetDecimal places2 decimal places
Rounding methodNearest, halves upControls how ties and direction are handled.
Scale step10^219.995 x 10^2 = 1,999.5
Rounded result20Final displayed rounded value.
Change0.005Absolute change: 0.005
Relative change0.02500625%Size of the rounding change compared with the original.

Method Notes

MethodRuleExample
Nearest, halves upHalfway values move away from zero.2.5 -> 3, -2.5 -> -3
Nearest, halves to evenHalfway values move to the nearest even integer.2.5 -> 2, 3.5 -> 4
FloorAlways rounds toward negative infinity.-2.1 -> -3
CeilingAlways rounds toward positive infinity.-2.9 -> -2
TruncateDrops extra precision toward zero.-2.9 -> -2

Rounding Notice

This calculator is for education and quick numeric formatting. For legal, tax, accounting, scientific, or engineering reports, follow the rounding rule required by the relevant standard or organization.

Reviewed For Methodology, Labels, And Sources

Every CalculatorWallah calculator is published with visible update labeling, linked source references, and review of formula clarity on trust-sensitive topics. Use results as planning support, then verify institution-, policy-, or jurisdiction-specific rules where they apply.

Reviewed By

Jitendra Kumar, Founder & Editorial Standards Lead, reviews methodology, labels, assumptions, and trust-sensitive publishing decisions for this topic area.

Review editor profile

Topic Ownership

Sales tax and tax-sensitive estimate tools, Education and GPA planning calculators, Health, protein, and screening-formula pages, Platform-wide publishing standards and methodology

See ownership standards

Methodology & Updates

Page updated May 2026. Trust-critical pages are reviewed when official rates or rules change. Evergreen calculator guides are checked on a recurring quarterly or annual cycle depending on topic volatility.

How to Use the Rounding Calculator

Enter the number you want to round, then choose whether to round by decimal places, significant figures, or nearest increment.

Select a rounding method. Use half-up for common classroom rounding, half-even for banker-style ties, or floor, ceiling, and truncate for directional rules.

  1. Step 1: Enter the number

    Use decimals, negatives, comma grouping, or scientific notation.

  2. Step 2: Choose the target

    Pick decimal places, significant figures, or a nearest increment.

  3. Step 3: Choose the method

    Select half-up, half-even, floor, ceiling, or truncate.

  4. Step 4: Review the change

    Compare the rounded result, original value, absolute change, and scale step.

How This Rounding Calculator Works

Decimal-place rounding scales the number by a power of 10, rounds the scaled value, then scales back. Significant-figure rounding chooses a scale based on the number's order of magnitude.

Nearest-increment rounding divides the value by the increment, rounds that quotient, and multiplies back by the increment.

The selected method controls ties and direction. Half-up and half-even both round to a nearest value, while floor, ceiling, and truncate are directional.

Rounding Methods Guide

Rounding Formulas

TargetFormulaUse
Decimal placesround(value x 10^p) / 10^pRound to p places after the decimal point.
Significant figuresround(value / increment) x incrementIncrement depends on the number magnitude.
Nearest incrementround(value / step) x stepRound to values such as 0.05, 25, or 100.
Floorlargest integer or step not greater than xAlways moves toward negative infinity.
Ceilingsmallest integer or step not less than xAlways moves toward positive infinity.
Truncatedrop extra precision toward zeroUseful when digits are cut off without rounding up.

Rounding Examples

InputRounded resultNotes
19.995 to 2 decimals20.00Money-style rounding with halves up.
0.0049876 to 3 significant figures0.00499Keeps the first three meaningful digits.
1,237 to nearest 251,225Custom increment rounding.
2.5 with half-even2Tie moves to the nearest even result.
-12.34 floor to 1 decimal-12.4Floor moves downward for negative values.

Avoid Early Rounding

When a calculation has several steps, keep full precision until the end unless a rule specifically says otherwise. Rounding too early can compound small changes and move the final answer.

Keep the research moving with Decimal Calculator, Place Value Calculator, Scientific Notation Calculator, and Floor Function Calculator.

Frequently Asked Questions

It can round to decimal places, significant figures, or a custom nearest increment such as 0.05, 0.5, 25, or 100.

Half-even rounding, often called banker rounding, sends exact halfway values to the nearest even rounded value.

Floor means rounding toward negative infinity. For positive numbers that looks like rounding down, but for negative numbers floor moves farther from zero.

Truncation drops digits beyond the target precision and moves toward zero instead of using the next digit to round.

Yes. Inputs such as 1.234e5 are supported as finite numeric values.

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Sources & References

  1. 1.Khan Academy - Rounding whole numbers(Accessed May 2026)
  2. 2.NIST - Guide for the Use of the International System of Units(Accessed May 2026)
  3. 3.Wikipedia - Rounding(Accessed May 2026)