Patial Products
2-digit x 2-digit
1-digit
Expressions
Word Problems
100
Find the partial products and the product.
6 × 1,315
The partial products are 30, 60, 1,800, and 6,000. The product is 7,890.
100
70 × 23
1,610
100
800 x 6
4,800
100
Select all the expressions that could be used to find the product 1,243 × 8.
a. 1,243 + 8
b. 8 × 1,243
c. 8 + (1,000 + 200 + 40 + 3)
d. 8 × (1,000 + 200 + 40 + 3)
e. (8 × 1,000) + (8 × 200) + (8 × 40) + (8 × 3)
b. 8 × 1,243
d. 8 × (1,000 + 200 + 40 + 3)
e. (8 × 1,000) + (8 × 200) + (8 × 40) + (8 × 3)
100
The dentist ordered 10 boxes of toothbrushes. There are 15 toothbrushes in each box.
How many toothbrushes did the dentist order?
150 toothbrushes
200
Find the missing partial product and the final product.
150; 1,350
200
70 × 10
700
200
1,643 x 4
6,572
200
Select all of the expressions that have a product of 560.
a. (5 × 100) × (6 × 10)
b. 140 × 4
c. (50 × 6) × 1
d. (5 × 100) + (6 × 10)
e. 7 × 88
b. 140 × 4
d. (5 × 100) + (6 × 10)
200
If Margaret walks for 30 minuets every day, how many minuets will she walk over 28 days?
840 minuets
300
Noriko multiplies 13 × 45. Which of the following is NOT a partial product?
a. 50
b. 90
c. 15
d. 400
b. 90
300
What is 39 × 17?
663
300
What is the product of 6 × 1,167?
7,002
300
Which expression has the same value as 7 × 593?
A. (7 × 500) + (7 × 90) + (7 × 3)
B. (7 × 50) + (7 × 90) + (7 × 30)
C. (7 × 500) + (7 × 9) + (7 × 3)
D. (7 × 5) + (7 × 9) + (7 × 3)
A. (7 × 500) + (7 × 90) + (7 × 3)
300
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?
a. 20 × $30 = $600
b. 5 × $35 = $175
c. 10 × $30 = $300
d. 20 × $32 = $640
c. 10 × $30 = $300
400
What are all the partial products for 9 × 813? What is the final product
27, 90, 7,200; 7,317
400
16 × 34
544
400
7 × 395
2,765
400
Which of the following expressions is equivalent to (200 × 4) + (23 × 4)?
A. 200 × 10
B. 223 + 4
C. 223 × 4
D. 200 × 4 + 23
C. 223 × 4
400
The hardware store has 7 bins of nails. Each bin has 43 nails.
Part A
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?
a. Associative Property
b. Commutative Property
c. Distributive Property
d. Identity Property
Part B
How many nails are in the bins?
Part C
How can you use rounding to check if your answer is reasonable?
a. Round 7 to 10 and 43 to 40 and multiply.
b. Round 7 to 20 and 43 to 40 and add.
c. Round 7 to 10 and 43 to 50 and multiply.
d. Round 7 to 20 and 43 to 40 and multiply.
Part A: c. Distributive Property
Part B: 301 nails
Part C: a. Round 7 to 10 and 43 to 40 and
multiply.
500
Describe how to correct the product that is not correct in the worked problem. What is the correct product?
a. The first partial product should be 180 not 1,800 because 60 × 3 = 180. The correct product is 510.
b. The second partial product should be 240 not 24 because 60 × 4 = 240. The correct product is 2,346.
c. The third partial product should be 27 not 270 because 9 × 3 = 27. The correct product is 1,887.
d. The fourth partial product should be 360 not 36 because 9 × 40 = 360. The correct product is 2,454.
b. The second partial product should be 240 not 24 because 60 × 4 = 240. The correct product is 2,346.
500
14 x 21
294
500
What are all the partial products?
600, 30, 27
500
The product of 64 and 13 can be rewritten as the sum of its partial products.
Which sum is equal to 64 × 13?
a. 12 + 180 + 240 + 600 = 1,032
b. 4 + 12 + 180 + 600 = 796
c. 12 + 40 + 180 + 600 = 832
d. 60 + 40 + 240 + 300 = 640
c. 12 + 40 + 180 + 600 = 832
500
Sally said she used partial products to write 9 × 602 = 5,400 + 180.
Is Sally correct? Explain.
a. Sally is incorrect. She should have multiplied 9 × 6 tens and 9 × 2 tens to get 9 × 602 = 540 + 180.
b. Sally is incorrect. She should have multiplied 9 × 6 tens to get 9 × 602 = 540 + 18.
c. Sally is incorrect. She should have multiplied 9 × 2 ones to get 9 × 602 = 5,400 + 18.
d. Sally is correct.
c. Sally is incorrect. She should have multiplied 9 × 2 ones to get 9 × 602 = 5,400 + 18.
600
Find the missing partial product and the final product.
240; 1,118
600
12 x 16
192
600
Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies and 5 batches of 90 cookies, how many cookies does he bake?
810 cookies
600
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?
a. 10 × 10
b. 10 × 20
c. 10 × 25
d. 20 × 20
c. 10 x 25
600
Henry’s yard is 32 feet long and 9 feet wide. His neighbor’s yard is 26 feet long and 6 feet wide.
Part A
What is the area of Henry’s yard?
Part B
What is the area of Henry’s neighbor’s yard?
Part C
What is the difference between the areas of the yards?
Part A: 288 square yards
Part B: 156 square yards
Part C: 132 square yards