Rounding Calculator

Round with the direction stated plainly

Enter a finite decimal, choose 0 through 12 places, and select nearest, toward a higher number, toward a lower number, or remove extra decimals. The result preserves trailing zeros so the requested decimal-place precision remains visible.

Four different rounding rules

Nearest chooses the closest available value and resolves an exact half toward the higher number, matching JavaScript Math.round behavior. The higher-number option always moves upward on the number line. The lower-number option always moves downward. Remove extra decimals discards digits beyond the requested place and moves toward zero. Direction matters most for negative inputs: rounding −2.341 toward a higher number gives −2.34, while rounding toward a lower number gives −2.35.

Decimal places define the step

Two decimal places mean steps of 0.01; zero places mean whole numbers. The calculator scales the value by a power of ten, applies the chosen integer rule, then scales it back. Display formatting keeps exactly the requested number of digits after the decimal point.

Worked example

Round 12.3456 to two decimal places. Nearest gives 12.35, toward a higher number also gives 12.35, toward a lower number gives 12.34, and removing extra decimals gives 12.34. For −12.3456, the higher-number result is −12.34, the lower-number result is −12.35, and removing extra decimals gives −12.34.

Rounding is different from significant figures

Decimal-place rounding fixes positions to the right of the decimal point. Significant-figure rounding counts meaningful digits from the first nonzero digit, regardless of the decimal point. A very small value can therefore become 0.00 here even though a significant-figures result would preserve nonzero digits.

Assumptions and limitations

The page uses standard JavaScript binary floating-point numbers. Many decimal fractions cannot be represented exactly in binary, so values near a tie can behave differently from arbitrary-precision decimal or financial systems. This tool does not parse expressions, round to tens or hundreds, apply accounting policy, propagate measurement uncertainty, or guarantee regulatory money rounding. Use the original authoritative system for consequential totals.