## Engage NY Eureka Math 4th Grade Module 3 Lesson 33 Answer Key

### Eureka Math Grade 4 Module 3 Lesson 33 Problem Set Answer Key

Question 1.
Ursula solved the following division problem by drawing an area model. a. What division problem did she solve?
Ursula solved division problem of 892 ÷ 4 = 223,

Explanation:
Ursula solved the following division problem by drawing an area model as shown above of (400 + 400 + 80 + 12)  ÷ 4 = 892 ÷ 4 as
(100 + 100 +20 +3) = 223.

b. Show a number bond to represent Ursula’s area model and represent the total length using the distributive property. Explanation:
Drawn number bond to represent Ursula’s area model and represented the total length using the distributive property as
= (400 ÷ 4) + (400 ÷ 4) + (80 ÷ 4) + (12 ÷ 4)
= 100 + 100 + 20 + 3
= 223.

Question 2.
a. Solve 960 ÷ 4 using the area model. There is no remainder in this problem. Explanation:
Solved 960 ÷ 4 using the area model as shown above
(960 ÷ 4) = (800 ÷ 4) + (160 ÷ 4) = 200 + 40 = 240.

b. Draw a number bond and use the long division algorithm to record your work from Part (a). Explanation:
Drawn a number bond and used the long division algorithm to record my work from Part (a) as shown above 960 ÷ 4 = 240.

Question 3.
a. Draw an area model to solve 774 ÷ 3. Explanation:
Drawn an area model as shown above for 774 ÷ 3 =
(600 ÷ 3) + (150 ÷ 3) + (24 ÷ 3) = 200 + 50 + 8 = 258.

b. Draw a number bond to represent this problem. Explanation:
Drawn a number bond to represent this problem as shown above (600 ÷ 3) + (150 ÷ 3) + (24 ÷ 3) = 200 + 50 + 8 = 258.

c. Record your work using the long division algorithm. Explanation:
Recorded my work using the long division algorithm as
shown above.

Question 4.
a. Draw an area model to solve 1,584 ÷ 2. Explanation:
Drawn an area model to solve 1,584 ÷ 2 =
(1,400 ÷ 2) + (180 ÷ 2) + (4 ÷ 2) =
700 + 90 + 2 = 792 as shown above.

b. Draw a number bond to represent this problem. Explanation:
Drawn a number bond to represent this problem as shown above 1,584 ÷ 2 = (1,400 ÷ 2) + (180 ÷ 2) + (4 ÷ 2) =
700 + 90 + 2 = 792.

c. Record your work using the long division algorithm. Explanation:
Recorded my work using the long division algorithm as shown above.

### Eureka Math Grade 4 Module 3 Lesson 33 Exit Ticket Answer Key

Question 1.
Anna solved the following division problem by drawing an area model. a. What division problem did she solve?
Anna solved division problem of 747 ÷ 3 = 249,

Explanation:
Given Anna solved the following division problem by drawing an area model of  747 ÷ 3 =
(600 ÷ 3) + (120 ÷ 3) + (27 ÷ 3) = 200 + 40 + 9 = 249.

b. Show a number bond to represent Anna’s area model, and represent the total length using the distributive property. Explanation:
Shown a number bond to represent Anna’s problem representing the total length using the distributive property
as 747 ÷ 3 = (600 ÷ 3) + (120 ÷ 3) + (27 ÷ 3) = 200 + 40 + 9 = 249.

Question 2.
a. Draw an area model to solve 1,368 ÷ 2. Explanation:
Drawn an area model to solve 1,368 ÷ 2 =
(1,200 ÷ 2) + (160 ÷ 2) + (8 ÷ 2) = 600 + 80 + 4 = 684 as shown above.

b. Draw a number bond to represent this problem. Explanation:
Drawn a number bond to represent problem as shown above 1,368 ÷ 2 = (1,200 ÷ 2) + (160 ÷ 2) + (8 ÷ 2)
= 600 + 80 + 4 = 684.

c. Record your work using the long division algorithm. Explanation:
Recorded my work using the long division algorithm as shown above.

### Eureka Math Grade 4 Module 3 Lesson 33 Homework Answer Key

Question 1.
Arabelle solved the following division problem by drawing an area model. a. What division problem did she solve?
Arabelle solved the division problem as 1,828 ÷ 4 =
(1600 + 200 + 28) ÷ 4 = 400 + 50 + 7 = 457.

b. Show a number bond to represent Arabelle’s area model, and represent the total length using the distributive property. Explanation:
Shown a number bond to represent Arabelle’s problem representing the total length using the distributive property
as 1,828 ÷ 4 = (1600 ÷ 4) + (200 ÷ 4) + (28 ÷ 4)
= 400 + 50 + 7 = 457.

Question 2.
a. Solve 816 ÷ 4 using the area model. There is no remainder in this problem. Explanation:
Solved 816 ÷ 4 using the area model as shown above
(816 ÷ 4) = (800 ÷ 4) + (16 ÷ 4) = 200 + 4 = 204.

b. Draw a number bond and use a written method to record your work from Part (a). Explanation:
Drawn a number bond to represent problem as shown above 816 ÷ 4 = (800 ÷ 4) + (16 ÷ 4) = 200 + 4 = 204.

Question 3.
a. Draw an area model to solve 549 ÷ 3. Explanation:
Drawn an area model to solve 549 ÷ 3 =
(300 ÷ 3) + (240 ÷ 3) + (9 ÷ 3) =
100 + 80 + 3 = 183 as shown above.

b. Draw a number bond to represent this problem. Explanation:
Drawn a number bond to represent problem as shown above 549 ÷ 3 = (300 ÷ 3) + (240 ÷ 3) + (9 ÷ 3)
= 100 + 80 + 3 = 183.

c. Record your work using the long division algorithm. Explanation:
Recorded my work using the long division algorithm as shown above.

Question 4.
a. Draw an area model to solve 2,762 ÷ 2. Explanation:
Drawn an area model to solve 2,762 ÷ 2 =
(2,000 ÷ 2) + (600 ÷ 2) + (160 ÷ 2) + (2 ÷ 2)
= 1,000 + 300 + 80 + 1 = 1,381 as shown above.

b. Draw a number bond to represent this problem.  