Grade 3 · lesson 3 of 4

Check Exact Multi-Digit Calculations with an Estimate

Compute the supplied exact operation with place value.

About 20 minutes, plus any extended practice

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Supplied materials

  • Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
  • Supplied worked-case record: Calculate 536−278.
  • All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.

Learn the idea

Exact addition and subtraction depend on matching place values and recording exchanges accurately. An estimate helps catch an answer that is far too large or small. It does not prove every digit is correct, so also use an inverse calculation or a second model.

Compute the supplied exact operation with place value. Estimate by nearby hundreds to check scale, then verify the exact result with subtraction or addition. State which result is exact and which is approximate.

Use an inverse operation for an exact check. A plausible estimate does not prove every digit of an exact answer. Write a place-value calculation next to a separately labeled estimate.

  1. Write a place-value calculation next to a separately labeled estimate.
  2. Follow the worked example. Point to each number or shape feature and say what it tells you.
  3. Compute the supplied exact operation with place value.
  4. Try the question and then the three practice questions. Check your answers and explain any change you make.
Worked example

See the method in action

Calculate 536−278. Regroup and subtract to get 258. An estimate is 500−300=200, which has the right scale. The exact check is 258+278=536. The estimate alone could not distinguish 258 from a nearby wrong answer. Use an inverse operation for an exact check. A plausible estimate does not prove every digit of an exact answer. Write a place-value calculation next to a separately labeled estimate.

Your turn

Check your reasoning

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Helpful tips
  • Use an inverse operation for an exact check.
  • A plausible estimate does not prove every digit of an exact answer.
Find the exact difference 625−248.

Feedback appears here after you check. This is practice, not a graded school assessment.

See the answer and explanation

377

Align places, regroup when needed, and check by addition. The result is 377.

Take it further

Find 468+257 and check with subtraction. Expected: 725; 725−257=468.

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More practice: try new cases

Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.

More practice: try new cases
1. Find the exact difference 642−256.
Need a hint?
  • Use an inverse operation for an exact check.
  • A plausible estimate does not prove every digit of an exact answer.
2. Find the exact difference 659−264.
Need a hint?
  • Use an inverse operation for an exact check.
  • A plausible estimate does not prove every digit of an exact answer.
3. Find the exact difference 676−272.
Need a hint?
  • Use an inverse operation for an exact check.
  • A plausible estimate does not prove every digit of an exact answer.

Your choices are temporary. Feedback appears after you check all the answers.

Nothing here is saved to an account or sent to a teacher. Keep your own notes or download them before leaving. The score describes these questions; it does not certify subject mastery.

Check the subject sources

These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.