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

What are the partial products for 42 x 10?

400 and 20

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 × 30
  • 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

Mr. Woodward has 21 students in his homeroom and Ms. Baxa has 19 students. If each student had 12 Pokemon cards in each of the classes, how many total cards do both classes have?

480 Pokemon Cards

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 lawn service charges $85 to cut the grass, the bushes, and fertilize the lawn. How much did the lawn service earn if 15 lawns were tended in June and 23 lawns were tended in July?

$3,230

500

50 x 26 = 

1,300

500

There are 13 boys on Anthony'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