Area Models
Multiply It
Break It Apart
Word Problems
100

Which equation does this area model show? A rectangle that is 7in. tall and split into two parts, 10in and 8in wide

A) 7 x 18 = 126

B) 8 x 17 = 136

C) 10 x 15 = 150

D) 10 x 17 = 170

A) 7 x 18

100

What is 2 x 31?

62

100

Which uses expanded form and the Distributive Property to find 3 × 49?

A) (3 × 40) + (9)

B) (3 × 4) + (3 × 9)

C) (3 × 40) + (3 × 9)

D) (3 × 4) + (3 × 9 × 10)

C) (3 × 40) + (3 × 9)

100

An art teacher displays 6 rows of 21 paintings. How many pieces in all?

126 pieces

200

Area model for 2 x 57: the side is 2 and the top is split into 50 and 7. What products go in the two boxes?

100 and 14

200

What is 41 × 8?

A) 248

B) 328

C) 368

D) 408

B) 328

200

4 × 42 = ?

___ tens + ___ ones. Fill in the blanks, then give the product.

16 tens + 8 ones = 168

200

4 rows of chairs. Each row has 2 teacher chairs and 13 student chairs. How many chairs in all?

A) 8

B) 52

C) 60

D) 104

C) 60 chairs

300

A picture of base-ten blocks show 4 groups of 2 hundreds, 1 ten, and 1 one. What multiplication equation is shown?

What is the final answer?

4 x 211 = 844

300

What is 146 x 6?

A) 646

B) 776

C) 846

D) 876

D) 876

300

Use partial products to find 6 × 19. How many tens, ones, and what is the total?

6 Tens = 60

54 ones = 54

Total: 114

300

12 fourth graders are in row 1 and 9 in row 2. There are 3 times as many third graders in these rows. How many third graders?

63 third grade students

400

An area model shows 5 x 184. The numbers on the top are 100 + 80 + 4, what are the partial products?

500, 400, and 20

400

Multiply: 9 × 3,500

(Hint: 9 × 3,000 and 9 × 500)

31,500 (27,000 + 4,500)

400

Use the Distributive Property:

8 × 27 = (8 × 20) + (8 × 7). What is the product?

216 (160 + 56)

400

Paolo has 96 rocks and fills 6 aquariums with 12 rocks each. Which equation shows how many rocks, r, are left?

A) 96 − 12 × 2 = r

B) 96 − 12 × 6 = r

C) 96 − 12 − 6 = r

D) 96 − 12 − 2 × 6 = r

B) 96 − 12 × 6 = r

500

3 x 49 with 49 split into 40 + 9. What is the total area? Draw the area model and solve.

147 (120 + 27)

500

What is 6 × 2,408?

14,448

500

Use partial products to find 7 × 38. How many tens, ones, and what is the total?

21 tens = 210

56 ones = 56

Total = 266

500

Part B: How many rocks does Paolo have left?

24 rocks