How do you find the product of 23 x 15 using the area model?

20 3

10

5

In this lesson you will learn how to multiply multi-digit numbers by using the area

model.

Let’s ReviewLet’s Review

Product – The result when two numbers are multiplied.

For Example:4 x 5 = 20

product

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Multiplication is repeated addition.

32 + 32 + 32 + 32 + 32

32 x 5 Multiplication is faster!

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Multiplication sentences can be represented by using an array.

4

6

4 x 6 = 24

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Multiplying by powers of 10.

36 x 10 = 36036 x 100 = 3,600

36 x 1,000 = 36,000

Let’s ReviewA Common Mistake

Multiplying each digit as if it represents a number of “ones.”

It is important to remember the place value of each digit.

36 x 5 = 30 x 5 + 6 x 5

Let’s ReviewCore Lesson

Multiply 23 x 15 using the area model.

20 3

10

5

200

100

30

15

200 100 30+ 15 445

x

20 + 3 10 + 5

Let’s ReviewCore Lesson

Multiply 225 x 12 using the area model.

200 20

10

2

2000 200

40

5

400

50

10

2000 400 200 40 50+ 10 2700

200 + 20+ 5

10 + 2

x

In this lesson you have learned how to multiply multi-digit numbers by using the area

model.

Let’s ReviewGuided Practice

Multiply 352 x 32 using the area model.

Let’s ReviewExtension Activities

In your math journal, draw an area model to find the product of 542 x 78.

Let’s ReviewExtension Activities

x

Roll a dice 4 times to fill in the blanks and create a multiplication problem like the one below.

Use the area model to find the product.

Let’s ReviewQuick Quiz

1). Find the multiplication sentence that matches the model below.

40 7

20

3

A. 24 x 37B. 47 x 23C. 47 + 23D. 60 x 10

Let’s ReviewQuick Quiz

2) Multiply 351 x 62 using an area model.