## Engage NY Eureka Math 4th Grade Module 3 Lesson 36 Answer Key

### Eureka Math Grade 4 Module 3 Lesson 36 Problem Set Answer Key

Question 1.

a. In each of the two models pictured below, write the expressions that determine the area of each of the four smaller rectangles.

Answer:

Explanation:

In each of the two models pictured above, wrote the expressions that determine the area of each of the four smaller rectangles as shown above.

b. Using the distributive property, rewrite the area of the large rectangle as the sum of the areas of the four smaller rectangles. Express first in number form, and then read in unit form.

14 × 12 = (4 × __2___ ) + (4 × __10___ ) + (10 × _2____ ) + (10 × _10____ )

Answer:

14 X 12 = (4 X 2) + (4 X 10) + (10 X 2) + (10 X 10),

Explanation:

Using the distributive property, rewrote the area of the large rectangle as the sum of the areas of the four smaller rectangles.

Expressed first in number form, and then read in unit form as

14 X 12 = (4 X 2) + (4 X 10) + (10 X 2) + (10 X 10).

Question 2.

Use an area model to represent the following expression. Record the partial products and solve.

14 × 22

Answer:

Explanation:

Used an area model to represent the following expression 14 X 22 Recorded the partial products and solved 14 X 22 = 308.

Draw an area model to represent the following expressions. Record the partial products vertically and solve.

Question 3.

25 × 32

Answer:

Explanation:

Drawn an area model to represent the following expression

25 X 32 = 800, Recorded the partial products vertically and solved as shown above.

Question 4.

35 × 42

Answer:

Explanation:

Drawn an area model to represent the following expression

35 X 42 = 1,470, Recorded the partial products vertically and solved as shown above.

Visualize the area model and solve the following numerically using four partial products. (You may sketch an area model if it helps.)

Question 5.

42 × 11

Answer:

Explanation:

Visualized the area model and solved the following numerically using four partial products for 42 X 11 = 462 as shown above.

Question 6.

46 × 11

Answer:

Explanation:

Visualized the area model and solved the following numerically using four partial products for 46 X 11 = 506 as shown above.

### Eureka Math Grade 4 Module 3 Lesson 36 Exit Ticket Answer Key

Record the partial products to solve. Draw an area model first to support your work, or draw the area model last to check your work.

Question 1.

26 × 43

Answer:

Explanation:

Recorded the partial products and solved 26 X 43 = 1,118. Drawn an area model to represent the following expression

26 X 43 = 1,118.

Question 2.

17 × 55

Answer:

Explanation:

Recorded the partial products and solved 17 X 55 = 935. Drawn an area model to represent the following expression

17 X 55 = 935.

### Eureka Math Grade 4 Module 3 Lesson 36 Homework Answer Key

Question 1.

a. In each of the two models pictured below, write the expressions that determine the area of each of the four smaller rectangles.

Answer:

Explanation:

In each of the two models pictured above, wrote the expressions that determine the area of each of the four smaller rectangles as shown above.

b. Using the distributive property, rewrite the area of the large rectangle as the sum of the areas of the four smaller rectangles. Express first in number form, and then read in unit form.

13 × 12 = (3 × __2___ ) + (3 × __10___ ) + (10 × __2___ ) + (10 × __10___ )

Answer:

Explanation:

Using the distributive property, rewrote the area of the large rectangle as the sum of the areas of the four smaller rectangles. Expressed first in number form, and then read in unit form as

13 X 12 = (3 X 2) + (3 X 10) + (10 X 2) + (10 X 10).

Use an area model to represent the following expression. Record the partial products and solve.

Question 2.

17 × 34

Answer:

Explanation:

Used an area model to represent the following expression 17 X 34 Recorded the partial products and solved 17 X 34 = 578.

Draw an area model to represent the following expressions. Record the partial products vertically and solve.

Question 3.

45 × 18

Answer:

Explanation:

Drawn an area model to represent the following expression

45 X 18 = 810, Recorded the partial products vertically and solved as shown above.

Question 4.

45 × 19

Answer:

Explanation:

Drawn an area model to represent the following expression

45 X 19 = 855, Recorded the partial products vertically and solved as shown above.

Visualize the area model and solve the following numerically using four partial products. (You may sketch an area model if it helps.)

Question 5.

12 × 47

Answer:

Explanation:

Visualized the area model and solved the following numerically using four partial products for 12 X 47 = 564 as shown above.

Question 6.

23 × 93

Answer:

Explanation:

Visualized the area model and solved the following numerically using four partial products for 23 X 93 = 2,139 as shown above.

Question 7.

23 × 11

Answer:

Explanation:

Visualized the area model and solved the following numerically using four partial products for 23 X 11 = 253 as shown above.

Question 8.

23 × 22

Answer:

Explanation:

Visualized the area model and solved the following numerically using four partial products for 23 X 22 = 506 as shown above.