Skill: Estimate differences by rounding

Explanation and Free Practice Resources

Estimating a difference involves rounding the minuend and subtrahend independently to the nearest ten or hundred, then subtracting the rounded numbers to obtain a close, manageable value. For whole numbers through 1,000, a number line or place-value reasoning shows why the estimate may be greater or less than the exact difference and supports checking whether an answer is reasonable; decimals, larger numbers, and more general error analysis are beyond this scope.

Detailed Explanation: Estimate differences by rounding

To estimate a difference, round both numbers independently to the nearest ten or hundred. Then subtract the rounded numbers.

Example: Estimate 674−238674-238 by rounding to the nearest ten.

  1. Round each number:

    • 674674 rounds to 670670 because 44 is less than 55.
    • 238238 rounds to 240240 because 88 is 55 or more.
  2. Subtract the rounded numbers:

670−240=430670-240=430

So, the estimated difference is:

430\boxed{430}

The exact difference is 436436, so 430430 is a reasonable estimate. The estimate is a little less because 674674 was rounded down and 238238 was rounded up.

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Subtraction - Estimate Difference - 2 & 2 Digit


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