Calculation·mathematics 28

Rounding, Ceiling, and Floor Calculator

Comparing three rounding methods based on selected decimal places

Input

The example value has been entered. Check it immediately or change the value.

Integer · minimum -6 · maximum 10

Run with Ctrl or ⌘ + Enter

Input is processed in the browser. Refreshing returns a sample value.

Result

Check or change the value using the example value result.

Rounding of intermediate values is handled positively. There are limitations for binary floating-point representation

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Calculation·conversion criteria

Compare rounding, rounding, and truncation for the specified decimal places.

Rounded up, rounded down, and rounded to the nearest value based on the 10 to the power of the selected digit.

Input example

Rounding 12.345 to two decimal places = 12.35

If you handle 12.345 up to the second decimal place, you get 12.35 (rounding), 12.35 (rounding up), and 12.34 (rounding down). For negative values exactly halfway, check the rule first.

How to use

  1. Use the entered example value or change the number or decimal places (negative numbers are whole numbers) items.
  2. Click Verify result and check the following result.
  3. Result can be copied if needed.

Frequently Asked Questions

Is the decreasing order of negative values due to discarding the decimal part?

No. Truncation is in the negative infinity direction, so subtracting 1.2 as an integer gives -2. Rounding up gives -1, and rounding up to the exact midpoint -1.5 gives -1 in this tool.

Calculation criteria and reference materials

Verification of calculation criteria: · Calculation·verification principles · Report errors