Powers of 10
Modeling Decimal Multiplication
Partial Products
Multiplying Decimals
Word Problems
100
4.1 x 10
41
100
.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)