Models to Multiply
Estimation
Arrays and Partial Products
Partial Products
Problem Solving
100
20 x 14 =
280
100
Estimate.
32 x 67 =
2,100
100
What multiplication problem does the array represent?
13 x 17
100
What are the partial products for 24 x 13?
200; 60; 40; 12
100
Ara has 3 pens for her chickens. She has 12 chickens in each pen. How many chickens does Ara have?
36 chickens
200
48 X 30 =
1,440
200
Estimate.
39 x 10 = ___
400
200
The area model below shows 17 × 13. What is the partial product that is labeled C in the model?
- 7 × 3 = 21
- 7 × 10 = 70
- 10 × 3 = 30
- 10 × 10 = 100
- 7 × 10 = 70
200
Which of the following could be used to help find the product of 24 × 20?
- 24 + 30
- 20 × 20 × 4 × 20
- 20 + 20 + 4 + 20
- 20 × 20 + 4 × 20
- 20 × 20 + 4 × 20
200
Henry’s yard is 32 feet long and 9 feet wide. His neighbor’s yard is 26 feet long and 6 feet wide. What is the difference between the areas of the yards?
132 sq ft
300
The product of two factors is 6,000. One of the factors is 3,000. What is the other factor?
2
300
A baker uses 13 eggs in each batch of cookies. What is the best way to use compatible numbers
to estimate the number of eggs the baker uses for 24 batches of cookies?
- 10 × 10
- 10 × 20
- 10 × 25
- 20 × 20
10 x 25
300
Spencer drew an area model to find16 × 13. What was is the partial product for 6 x 3?
18
300
Which expression is equal to 420?
- (40 × 1) + (2 × 10)
- 30 × 10 × 4
- 20 × 20 × 1
- 21 × 20
21 x 20
300
The hardware store has 7 bins of nails. Each bin has 43 nails.
George broke 43 into 40 + 3 and wrote (7 × 40) + (7 × 3) to find the number of nails in the bins.
Which property of operations did he use?
Distributive Property
400
30 x 73 =
2,190
400
Estimate 21 x 59
1,200
400
What is the partial product for section A?
100
400
How many partial products will there be when solving 20 x 57?
2
400
The hardware store has 7 bins of nails. Each bin has 43 nails. How many nails are in the bins?
301 nails
500
50 x 26 =
1,300
500
There are 13 girls on Janelle's soccer team. Uniforms cost $32 each. Which equation uses estimation
correctly to show about how much money the team spent?
- 20 × $30 = $600
- 5 × $35 = $175
- 10 × $30 = $300
- 20 × $32 = $640
- 10 × $30 = $300
500
What is the total product of the multiplication fact represented by this array?
221
500
Which is NOT a partial product for 45 x 14?
- 20
-160
-250
-400
250
500
Dona’s red photo album has 15 pages. Each page has 9 pictures. Her blue photo album has 16 pages, and each page has 8 pictures. What is the total number of pictures in Dona’s two albums?
263 pictures