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Lesson Worksheet: Multiplying up to a Four-Digit Number by a Two-Digit Number: Area Models Mathematics

In this worksheet, we will practice using area models to multiply whole numbers with up to four digits by two-digit numbers.

Q1:

Amelia used an area model to work out how many potatoes she could grow from 78 sacks. Each sack contained 596 plants.

Amelia says she will grow 41,880 altogether.

Her answer is incorrect. Why?

  • AAmelia has added up incorrectly.
  • BAmelia has multiplied the second row by digit value rather than column value of each number.
  • CAmelia has forgotten to add the result of multiplying the last column.
  • DAmelia has forgotten to multiply the second row by any number.
  • EAmelia has multiplied incorrectly in the last column.

Q2:

Isabella will use this area model to help solve a multiplication problem.

What should she get for her answer?

Q3:

Madison wants to find 458×37 by completing the area model below with partial products. She started by putting in the partial products 56 and 350.

Which of these is not another partial product that she should put in the area model?

  • A12,000
  • B1,500
  • C1,200
  • D2,800
  • E240

What should she get for 458×37?

Q4:

Noah tried to find 536×68 by filling in the area model below with partial products. However, one of his partial products is incorrect.

How can he fix his error?

  • AHe can change 360 to 36.
  • BHe can change 30,000 to 3,000.
  • CHe can change 400 to 4,000.
  • DHe can change 240 to 2,400.
  • EHe can change 1,800 to 180.

What should he get for 536×68?

Q5:

Jackson wants to find 569×78 by filling in the area model below with partial products. He has one partial product left to fill in.

What is the missing partial product?

What should he get for 569×78?

Q6:

Michael wants to find 6,374×58 by filling in the area model below with partial products. He starts by putting in the partial products 32, 560, 2,400, and 48,000.

Which of these is not another partial product that he should put in the area model?

  • A15,000
  • B30,000
  • C3,500
  • D200
  • E300,000

What is 6,374×58?

Q7:

Jennifer wants to find 3,764×58 by filling in the area model below with partial products. She has one partial product left to fill in.

What is the missing partial product?

What should she get for 3,764×58?

Q8:

Noah uses this area model to help solve a multiplication problem.

What should he get for his answer?

Q9:

Charlotte is trying to find 7,286×49 by filling in the area model below with partial products. However, one of her partial products is incorrect.

Fill in the blanks to describe how she can fix her error: She can change to .

  • A240, 2,400
  • B80,000, 8,000
  • C720, 7,200
  • D1,800, 18,000
  • E3,200, 32,000

What should she get for 7,286×49?

Q10:

Given that 15×5=75 and 15×30=450, find 15×53.

Hint: Try finding 15×50 and 15×3 first.

This lesson includes 2 additional questions and 80 additional question variations for subscribers.

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