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Round to Place Calculator

Enter a value and the number of decimal places to round it.

How it is calculated

The tool rounds value to places digits relative to the decimal point. Positive places keep that many decimals (2 gives hundredths), 0 gives a whole number, and negative places round to tens (−1), hundreds (−2), thousands (−3). Internally it looks at the first digit that is dropped: 5 or more rounds away from zero, less than 5 rounds toward zero. Ties are rounded away from zero, not to the nearest even number, so 2.5 becomes 3 and −2.5 becomes −3. The places value must be a whole number. A fractional value like 1.5 gives no result. Positive places keep trailing zeros in the display.

Worked example

Round 1482 with places = −2, meaning to the nearest hundred. The hundreds digit is 4 and the next digit is 8, so the number sits between 1,400 and 1,500 and is closer to 1,500 (1,482 is 82 above 1,400 but only 18 below 1,500). The result is 1,500.

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Common mistakes

  • Typing places as 2 when you want hundreds. Positive places are decimals; for tens, hundreds or thousands use −1, −2 or −3.
  • Expecting banker's rounding. Exact ties round away from zero here, so 2.5 gives 3 and 0.5 gives 1.
  • Rounding a result twice (first to 3 decimals, then to 2). Each step can push the value up, so 2.3449 becomes 2.345 and then 2.35 instead of the correct 2.34. Round once from the original.
  • Entering a fractional places value such as 1.5, which returns no result.
  • Rounding money in the middle of a calculation instead of at the end, which makes the final total drift.

About this calculator

Rounding to a place shifts a number to the nearest multiple of a chosen power of ten: positive decimal places round to tenths, hundredths and beyond, while negative places round to the nearest ten, hundred, or thousand — so -2 rounds 1,482 to 1,500. Ties are rounded away from zero at the specified digit, so 2.5 becomes 3 and -2.5 becomes -3; banker's rounding (half to even) is not used.

The operation underlies everyday tasks from formatting currency to two decimal places, to summarizing large datasets to the nearest thousand in a report, to a student checking a homework answer against a textbook's rounded figure.

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Comments (1)

  • Editorial team

    Use rounding for presenting a number, not for the steps in between; keep the unrounded value in later calculations. Negative places are handy for estimates, such as 1,234,567 to the nearest thousand, which gives 1,235,000. Ties go away from zero here, so 1.005 to two places shows 1.01, while some programming languages return 1.00. Which software are you comparing results against?

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