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Estimation practice

Estimating products

Round two- and three-digit factors, then estimate their product. Practice guided or horizontal multiplication, including mixed three-by-two-digit factors and nearest-hundred rounding.

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Worksheet · LetterWorksheet · A4
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Round each factor to the requested place, then multiply the rounded factors. Both factors use the same rounding place, including a three-digit factor paired with a two-digit factor.

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Learning objective

What this activity builds

Use nearby multiples of ten or one hundred to estimate a product and interpret the difference from the exact result.

Worked example

Estimate 237 × 42 by rounding both factors to the nearest ten.

240 × 40 = 9600.

The exact product is 9954, so this estimate is 354 lower. Use 24 × 4 = 96, then account for the two factors of ten. Rounding only 42 would produce a different estimate.

Teaching notes

Make the practice count

  • Use two-by-two-digit factors and nearest-ten rounding before introducing a three-digit factor.
  • The mixed-width profile always puts a three-digit factor first and a two-digit factor second. Both round to tens.
  • Nearest-hundred practice uses two three-digit factors. Students still need to track place value when multiplying the rounded values.
  • Discuss why an estimate may be above or below the actual answer. Rounding one factor upward does not by itself determine the direction of the product error.
  • An optional first worked example occupies one position and earns no marks. Turn it off to score every position.

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Math SheetNameScore/ 42TeacherDateEstimating productsRound both operands to the nearest tens, then multiply the rounded operands to estimate. Round halfway values upward.1.OriginalRounded18× 48____× ____->->Estimate2.OriginalRounded75× 68____× ____->->Estimate3.OriginalRounded69× 49____× ____->->Estimate4.OriginalRounded81× 26____× ____->->Estimate5.OriginalRounded60× 71____× ____->->Estimate6.OriginalRounded91× 97____× ____->->Estimate7.OriginalRounded55× 60____× ____->->Estimate8.OriginalRounded19× 93____× ____->->Estimate9.OriginalRounded30× 65____× ____->->Estimate10.OriginalRounded56× 33____× ____->->Estimate11.OriginalRounded53× 93____× ____->->Estimate12.OriginalRounded84× 67____× ____->->Estimate13.OriginalRounded75× 14____× ____->->Estimate14.OriginalRounded85× 51____× ____->->Estimatemath-sheet.comPage 1 / 1

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