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Written Multiplication Strategies

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Written Multiplication Strategies

Use place value to multiply. Show your working for written calculations, and include units in word-problem answers.

Area Model Multiplication

Partition the larger factor into tens and ones, then multiply each part.

40 × 7 = ____

6 × 7 = ____

Total: ____ + ____ = ____

1.Use an area model to calculate 72 × 5. Write the two partial products and their total.
2.Which partition splits 83 into tens and ones for an area model?
  • 80 + 3
  • 8 + 3
  • 80 + 30
  • 70 + 13
3.Estimate 38 × 6 by rounding 38 to the nearest ten. Then calculate 38 × 6 using partitioning.
4.Match each multiplication expression to its correct total.
  • 52 × 4
  • 63 × 5
  • 29 × 7
  • 203
  • 315
  • 208

Contracted Multiplication

Use the vertical method, keeping track of any amount carried into the next place value.

5.Complete the vertical multiplication for 68 × 4. State the ones product, what you write in the ones place, what you carry, and the final total.
6.Calculate 84 × 7 using the contracted vertical method. Show the carrying step.
7.Work out 96 × 6 using the vertical method. Include your carrying step.
8.Estimate 87 × 8 by rounding 87 to the nearest ten. Is 696 a reasonable exact answer? Give a brief reason.

Multiplication Problem Solving

Choose a suitable written strategy and make your calculations clear.

9.The school canteen prepares 28 fruit cups for each of 7 lunch groups. How many fruit cups are prepared altogether? Write a multiplication equation and solve it.
10.Hana puts 36 muffins on each of 4 canteen trays. How many muffins are there on the trays altogether?
11.Tevita calculates 47 × 6 by writing 40 × 6 = 240 and 7 × 6 = 42. What total should he get?
12.Which statement correctly describes how an area model can help with 56 × 3?
  • Split 56 into 50 and 6, multiply both parts by 3, then add the products.
  • Split 3 into 50 and 6, then multiply each part by 56.
  • Add 56 and 3, then multiply the sum by 10.
  • Multiply 50 by 6 and leave out the factor 3.

3 printable pages

  • Written Multiplication Strategies, page 1 of 3: Area Model Multiplication

    Page 1

  • Written Multiplication Strategies, page 2 of 3: Contracted Multiplication

    Page 2

  • Written Multiplication Strategies, page 3 of 3: Multiplication Problem Solving

    Page 3

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