Lesson Worksheet: Multiplying Two-Digit Numbers by One-Digit Numbers: Area Models Mathematics • 4th Grade

In this worksheet, we will practice using area models to multiply two-digit numbers by one-digit numbers.

Q1:

This area model can be used to solve 85×9.

Find the missing partial product.

Q2:

Find the area of the rectangle using the distributive property.

Q3:

James drew this array to help him calculate 4×15 by splitting 15 into 10+5.

How many squares are in the orange part?

How many squares are in the green part?

Add these numbers to find 4×15.

Q4:

A teacher has 34 children in her class. They each need 7 pieces of homework a week. By using the diagram, find how many pieces she will have to set altogether.

Q5:

The following area model can be used to help solve the multiplication problem 7×25.

Which expression can be used to represent the number of orange squares?

  • A7+5
  • B7×20
  • C20×5
  • D7+20
  • E7×5

Which expression can be used to represent the number of red squares?

  • A7×20
  • B7×5
  • C20×5
  • D7+5
  • E7+20

Q6:

James learned all the one-digit-by-one-digit multiplication facts. He used what he learned, along with the area model shown, to correctly solve the multiplication problem 6×16.

Fill in the blanks: He used the multiplication facts and to solve the problem.

  • A6×9=54, 6×7=48
  • B6×7=42, 9×7=63
  • C6×9=54, 9×7=63
  • D6×7=48, 9×7=63
  • E6×9=54, 6×7=42

What did he get for 6×16?

Q7:

The area model below can be used to help solve the multiplication problem 4×82.

Which expression can be used to represent the left part of the model?

  • A4+80
  • B82+80
  • C4×80
  • D4+82
  • E82×80

Which expression can be used to represent the right part of the model?

  • A4×2
  • B4+82
  • C82×80
  • D4+80
  • E4×82

Q8:

Emma learned the first ten multiples of 25. She used what she learned along with the following area model to correctly solve the multiplication problem 8×32.

Fill in the blanks: The value of the expression represented by the left side of the model is , and the value of the expression represented by the right side is .

  • A200, 15
  • B200, 56
  • C175, 15
  • D175, 56
  • E200, 48

What did she get for 8×32?

Q9:

Mason used this area model to solve a multiplication problem.

Which other area model could he have used to solve the same problem?

  • A
  • B
  • C
  • D
  • E

What is the product of the calculation he was solving?

Q10:

Find 23×2 using the given area model.

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