Powers of 10
Modeling Decimal Multiplication
Partial Products
Multiplying Decimals
Word Problems
100

4.1 x 10

41

100

Write an equation represented by the above model.

.25 X 2 =0.5

100

Use partial products to solve:

4.1 x 0.2

0.2 x 0.1 = 0.02

0.2 x 4 = 0.8


0.02 + 0.8 = 0.82

100

1.65 x 3

4.95

100

Your friend buys 4 glow sticks for $0.99 each. She pays with a $10 bill. How much change does she receive?

$6.04

(0.99 x 4 = 3.96; 10.00 - 3.96)

200

7.03 x 0.1

0.703

200

Write an equation represented by the following model:

0.8 x 3 = 2.4

200

Use partial products to solve:

5.9 x 1.3

0.3 x 0.9 = 0.27

0.3 x 5 = 1.5

1 x 0.9 = 0.9

1 x 5 = 5

0.27 + 1.5 + 0.9 + 5 = 7.67

200

18.65 x 6

111.9

200

You download one song for $0.99 and another 8 songs for $1.29 each. How much do you pay for all 9 songs?

$11.31

(8 x 1.29 + 0.99)

300

16.579 x 104

165,790

300

What is the are of the following rectangle?

0.7 x 0.4 - 0.28

300
Use partial products to sovle:


23.7 x 3.5

0.5 x 0.7 = 0.35

0.5 x 3 = 1.5

0.5 x 20 = 10

3 x 0.7 = 2.1

3 x 3 = 9

3 x 20 = 60


0.35 + 1.5 + 10 + 2.1 + 9 + 60 = 82.95

300

6.5 x 0.7 

4.55

300

A gallon of milk cost $0.82 in 1960. In 2015 it costs $0.03 more than 4 times the cost in 1960. How much did a gallon of milk cost in 2015?

$3.31

(0.82 x 4 + 0.03)

400

843.7 x 0.001

0.8437

400

Write an equation represented by the following model:

0.8 x 0.4 = 0.32

400

Use Partial Products to solve:

1.2 x 3.71 

0.2 x 0.01 = 0.002

0.2 x 0.7 = 0.14

0.2 x 3 = 0.6

1 x 0.01 = 0.01

1 x 0.7 = 0.7

1 x 3 = 3


 0.002 + 0.14 + 0.6 + 0.01 + 0.7 + 3 = 4.452

400

25.6 x 16.9

432.64

400

An employee earns $10.75 each hour. He works 8 hours each day, 5 days a week, 4 weeks a month. How much does he earn every month?

$1720.00

(10.75 x 8 x 5 x 4)

500

3.14 x _____ = 0.314

0.1

500

Write an equation represented by the model.

0.2 x 0.5 = 0.10

500

Write a multiplication equation shown by the partial products:


0.14 + 0.2 + 2.1 + 3

1.7 x 3.2 = 5.44

500

6.81 x 2.45

16.6845

500

Two friends eat at a restaurant for $34. They tip 18% (0.18). If they split the total equally, how much do they each pay?

$20.06

(34 x 0.18=6.12

34 + 6.1=40.12

40.12 รท 2= 20.06)