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Compatible Numbers
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Word Problems
100

Find  10 x 24 by using an array model

240

100

Use compatible numbers to estimate 29 x 31

30 x 30= 900

100

Mr. Luca bought 38 notebooks. Each notebook has 54 pages. What is a good way to estimate the total number of pages Mr. Luca bought?

A. 20x 50

B. 40x 50

C. 30x 50

D. 28x 60

B. 40x50

100

Yuri made 12 fruit baskets as gifts. Each basket has 5 oranges, 4 apples, and 2 bananas. How many pieces  of fruit did Yuri use to make all 12 fruit baskets?

5+4+2=11

11x12=132

200

The product of two factors is 2,000. One of the the factors is 50. What is the other factor?

A. 20

B. 40

C. 200

D. 400

B. 40

200

Use compatible numbers to estimate 63 x 28

65 x 30 = 1,950

200

Which two expressions are equal to 320?

A. 32x 10

B. 30x 10+2

C. 30x10+20x10

D. 30x10+2x10

E. 20x10+4x10

A and D
200

Rose visited 14 cities on her vacation. She bought 8 souvenirs in each city to send to her friends. Rose paid $2 in postage for each souvenir to be sent. How much did Rose spend on the souvenirs and postage?

14x8= 112

112x2= $224

300

Find the product by drawing an array 26 x 63

1,638

300

Use compatible numbers to estimate 29 x 41 

 30 x 40 =1,200

300

Jack's landscape service charges $78 to plant a tree. What is the total cost to plant 18 trees on Tuesday and 23 trees on Wednesday? Write and solve equations.

18 + 23= 41

41x78=$3,198

OR YOU CAN ALSO DO:

18x78=1,404

23 x 78= 1,794

1,404 + 1,794=$3,198

400

Find the product using an array 76 x 23

1,748

400

Use compatible numbers to estimate 63 x 87

60 x 90= 5, 400

400

Lorin drew an area model to find 19 x 15. Write the partial products for each rectangle in the area model.

10 x 10 =100

10 x 5 = 50

9 x 10 = 90

9 x 5 = 45

400

Justines's plant shop has 8 shelves. Each shelf holds 18 plants. Suppose she adds 2 more shelves to the shop. Write and solve equations to find the number if plants all of the shelves can hold. Check if your answer is reasonable?

8 + 2= 10 shelves

10 x18= 180 plants


Use compatible numbers

10 x 20= 200

200 is close to 180 plants, so the answer is reasonable.

500

Find the product by using an array 14 x 72 

1,008

500

A florist makes center pieces. He puts 18 roses in each centerpiece. Which is the best way to use compatible numbers to estimate the number of roses the florist needs for 24 center peices? What is the exact number of roses? 

A. 10x 25= 250; 360

B. 20x 25= 500; 432

C. 25 x 30= 750; 672

D. 30 x 30= 900; 784

B. 20x 25=750; 672

500

Each box has 16 books packed. Use the numbers in the box to complete the table.

Number of boxes  |     Number of books            

10                                  ?

30                                   ?

?                                     640

 ?                                    ?

                    160

                    480

40

60              960


500

The biggest painting in an art show is 31 inches long and 28 inches wide. The smallest painting is 14 inches long and 11 inches wide. What is the difference between the areas of the two paintings? show your work.

31 x 28= 868 inches

14x 11= 154 inches

868-154= 714 inches