Partial Products
Word Problems
Estimating Products
Multiplication practice
100

Use partial products to solve 128 x 5

8 x 5= 40

20 x 5 = 100

100 x 5 = 500

500 + 100 + 40= 640

100

Nathan read 48 books during the year. If he reads the same number of books for 7 years in a row, how many total books will Nathan read?

336

100
Estimate the product:


314 x 6=

300 x 6 = 1,800

100

7 x _______ = 49,000

7,000

200

Use partial products to solve 4,538 x 6

8 x 6 = 48

30 x 6 = 180

500 x 6 = 3,000

4,000 x 6 = 24,000

27,228

200

Jack has a binder full of cards. He has 39 pages of baseball cards and 17 pages of football cards. Each page has 8 cards on it. How many total cards does Jack have?

448

200

Estimate the product:


1,877 x 4 = 

2,000 x 4 = 8,000

200

8_6 x 3 = 2,478

2

300
Ben said that the partial products of 5 x 727 are 35, 10, and 3,500. Explain Ben's mistake and find the correct solution.

Ben's mistake is in the tens place. He did 2 x 5 instead of 20 x 5. The correct partial products are 35, 100, and 3,500.

300

A hotel has 9 floors. Each floor contains 48 guest rooms, except for the first floor. The first floor has zero guest rooms. How many guest rooms are in the hotel altogether?

384

300

Is this estimate reasonable or unreasonable?

344 x 7 = 2,100

Reasonable. 344 is about 300. 300 x 7 = 2,100.

300

4,950 x 8 = 

39,600

400

Which products have 240 as a partial product?

a. 3 x 3,388

b. 8 x 2,612

c. 4 x 5,376

d. 6 x 4,345

A and D
400
Emmie's goal is to run 200 miles in 10 months. How many miles does she have to run each month to reach her goal?

20

400

Is this estimate reasonable or unreasonable?


516 x 4 = 200

Unreasonable. 516 is about 500. 500 x 4 = 2,000 not 200.

400

14799 x 8=

118,392

500

Find the partial products for 9,999 x 9. Then find the product.

81, 810, 8,100, 81,000.

Product: 89,991

500

The pet store sold 3 hamsters and 6 rabbits. The cost of each pet was $79. How much money did the pet store make?

$711

500
Noah's assignment was to estimate to find the product. He wrote 600 x 7= 4,200 as his estimated product. Write an equation that he could have been given.

Answers may vary

500

184,322 x 4 = 

737,288

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