## Engage NY Eureka Math 5th Grade Module 2 Lesson 21 Answer Key

### Eureka Math Grade 5 Module 2 Lesson 21 Problem Set Answer Key

Question 1.

Divide. Then, check using multiplication. The first one is done for you.

a. 258 ÷ 47

Answer:

258/47 = 23.

Explanation:

In the above-given question,

given that,

Divide, and then check.

47 x 5 = 235.

258 – 235 = 23.

b. 148 ÷ 67

Answer:

148/67 = 14.

Explanation:

In the above-given question,

given that,

Divide, and then check.

67 x 2 = 134.

148 – 134 = 14.

c. 591 ÷ 73

Answer:

591/73 = 7.

Explanation:

In the above-given question,

given that,

Divide, and then check.

73 x 8 = 584.

591 – 584 = 7.

d. 759 ÷ 94

Answer:

759/94 = 7.

Explanation:

In the above-given question,

given that,

Divide, and then check.

94 x 8 = 752.

759 – 752 = 7.

e. 653 ÷ 74

Answer:

653/74 = 61.

Explanation:

In the above-given question,

given that,

Divide, and then check.

74 x 8 = 592.

653 – 592 = 61.

f. 257 ÷ 36

Answer:

257/36 = 5.

Explanation:

In the above-given question,

given that,

Divide, and then check.

36 x 7 = 252.

257 – 252 = 5.

Question 2.

Generate and solve at least one more division problem with the same quotient and remainder as the one below. Explain your thought process.

Answer:

51/5 = 11.

Explanation:

In the above-given question,

given that,

Divide, and then check.

5 x 8 = 40.

51 – 40 = 11.

Question 3.

Assume that Mrs. Giang’s car travels 14 miles on each gallon of gas. If she travels to visit her niece who lives 133 miles away, how many gallons of gas will Mrs. Giang need to make the round trip?

Answer:

The number of gallons of gas will Mrs. Giang need to make the round trip = 1862 gallons.

Explanation:

In the above-given question,

given that,

Assume that Mrs. Giang’s car travels 14 miles on each gallon of gas.

If she travels to visit her niece who lives 133 miles away.

133 x 14 = 1862.

the number of gallons of gas will Mrs. Giang need to make the round trip = 1862 gallons.

Question 4.

Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftover pencils to his teacher.

a. How many pencils will Louis’s teacher receive?

Answer:

The number of pencils will Louis’s teacher receive = 4 pencils.

Explanation:

In the above-given question,

given that,

Louis brings 79 pencils to school.

After he gives each of his 15 classmates an equal number of pencils, he will give any leftover pencils to his teacher.

15 x 5 = 75.

79 – 75 = 4.

so the number of pencils will Louis’s teacher receive = 4 pencils.

b. If Louis decides instead to take an equal share of the pencils along with his classmates, will his teacher receive more pencils or fewer pencils? Show your thinking.

Answer:

The teacher receives more pencils.

Explanation:

In the above-given question,

given that,

If Louis decides instead to take an equal share of the pencils along with his classmates.

16 x 4 = 64.

79 – 64 = 15.

the teacher receives 9 more pencils.

### Eureka Math Grade 5 Module 2 Lesson 21 Exit Ticket Answer Key

Divide. Then, check using multiplication.

a. 326 ÷ 53

Answer:

326/53 = 61.

Explanation:

In the above-given question,

given that,

Divide, and then check.

53 x 5 = 265.

326 – 265 = 61.

b. 192 ÷ 38

Answer:

192/38 = 2.

Explanation:

In the above-given question,

given that,

Divide, and then check.

38 x 5 = 190.

192 – 190 = 2.

### Eureka Math Grade 5 Module 2 Lesson 21 Homework Answer Key

Question 1.

Divide. Then, check using multiplication. The first one is done for you.

a. 129 ÷ 21

b. 158 ÷ 37

Answer:

158/37 = 10.

Explanation:

In the above-given question,

given that,

Divide, and then check.

37 x 4 = 148.

158 – 148 = 10.

c. 261 ÷ 49

Answer:

261/49 = 61.

Explanation:

In the above-given question,

given that,

Divide, and then check.

49 x 5 = 245.

261 – 245 = 16.

d. 574 ÷ 82

Answer:

574/82 = 0.

Explanation:

In the above-given question,

given that,

Divide, and then check.

82 x 7 = 574.

574 – 574 = 0.

e. 464 ÷ 58

Answer:

464/58 = 0.

Explanation:

In the above-given question,

given that,

Divide, and then check.

58 x 8 = 464.

464 – 464 = 0.

f. 640 ÷ 79

Answer:

640/79 = 61.

Explanation:

In the above-given question,

given that,

Divide, and then check.

79 x 8 = 632.

640 – 632 = 61.

Question 2.

It takes Juwan exactly 35 minutes by car to get to his grandmother’s. The nearest parking area is a 4-minute walk from her apartment. One week, he realized that he spent 5 hours and 12 minutes traveling to her apartment and then back home. How many round trips did he make to visit his grandmother?

Answer:

The round trips he makes to visit his grandmother = 78 rounds.

Explanation:

In the above-given question,

given that,

It takes Juwan exactly 35 minutes by car to get to his grandmother’s.

the nearest parking area is a 4-minute walk from her apartment.

one week, he realized that he spent 5 hours and 12 minutes traveling to her apartment and then back home.

5 x 60 = 300 and 12.

312/4 = 78.

Question 3.

How many eighty-fours are in 672?

Answer:

There are 8 eighty-fours in 672.

Explanation:

In the above-given question,

given that,

there are eighty-fours in 672.

672/84 = 8.