L017

Multiplication Equations

23 x 16 = 268

Product

Factors

Big Idea # 1

 Factors in a multiplication equation can be decomposed into addends.

32 x 54 = 1,728

30 24

10 22

Big Idea # 2

 Multi-digit whole numbers can be decomposed into addends based on place value.

32 x 54 = 1,728

50 4

30 2

Big Idea # 3

 Partial products are the products of one factor multiplied by one addend of

 the other factor.

Big Idea # 4

 The distributive property of multiplication means that a product of two factors is equal to the partial products of the two decomposed addends and the other factor.

Big Idea # 5

When we are multiplying by multiples of 10, 100, or 1,000, we need to make sure we are multiplying the nonzero digits by the multiple of 10, 100, or 1,000 that the number represents.

When we are multiplying by multiples of 10, 100, or 1,000 today, we need to make sure we are multiplying the nonzero digits by the multiple of 10, 100, or 1,000 that the number represents.

What is 2 x 80?

16

160

A

B

160

1,600

16,000

C

D

What is 60 x 40?

10,000

2,400

A

2,400

B

240

24

C

D

I multiplied 6 x 4 which are the nonzero digits with value and got a product of 24.

60 x 40 =

How did you solve

60 x 40 ?

Then, since 60 was a multiple of 10, multiplied 24 x 10 to get 240.

24 x 10 = 240

Then, since 40 was also a multiple of 10, multiplied 240 x 10 to get 2,400.

240 x 10 = 2,400

When we multiply a single digit by a multiple of 100 or 1,000, we can do the same thing – we can multiply the nonzero digits and then multiply by 100 or 1,000.

•

What is the product of 40 x 40?

•

16

1,600

A

B

A

160

80

D

C

What is the product of 20 x 30?

600

60

B

A

B

660

6,000

D

C

I multiplied 2 x 3 which are the nonzero digits with value and got a product of 6.

20 x 30 =

How did you solve

20 x 30 ?

Then, since 20 was a multiple of 10, multiplied 6 x 10 to get 60.

6 x 10 = 60

Then, since 30 was also a multiple of 10, multiplied 60 x 10 to get 600.

60 x 10 = 600

What is the product of 40 x 90?

36

360

A

B

3,600

1,300

D

C

2 x 2 Multiplication Model

Follow along on page 1

Stop and Jot

Follow along on page 1

Try this example!

(Marble Notebook)

How did you decompose 26 into addends by place value?

32 x 26 =

How did you decompose 32 into addends by place value?

Stop and Jot

Build on to your response on page 1

Checkpoint!

What are some key things we should remember when multiplying larger numbers?

Decompose the factors that are larger than 10 into its addends.

 Multiply each addend by the other factor.

 Multiplying by multiples of powers of ten is quick because you can multiply the non-zero digits and then multiply by the value of the place value, i.e. 4 x 300 = 4 x 3 x 100.

You will now have 15 minutes to find the product of different 2 by 2 multiplication problems on pages 2-4 of your packet.

You will now have 10 minutes to complete your exit ticket on pages 5 and 6 and then take a picture to submit to your teacher on Google Classroom.

Now wait for your teacher so that you can continue to challenge yourself with Story Problems :)!