Number Sense & Estimation

Numbers carry magnitude and structure; estimation and reasonableness can reveal what an exact answer should look like before calculation.

What you'll learn

  • Estimate products by replacing awkward factors with nearby friendly numbers.
  • Use bounds and place value to reject impossible results.
  • Decide when an estimate settles a question and when exact calculation is still needed.
  • Transfer estimation to a rate and unit-conversion setting.

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Worked recap: Estimate before calculating

For 198 × 5, estimate with 200 × 5 = 1000. The exact product should be slightly smaller.

Subtract the two extra groups of five: 1000 − 10 = 990. The estimate helps you catch an answer with the wrong size.

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