## Engage NY Eureka Math 5th Grade Module 2 Lesson 22 Answer Key

### Eureka Math Grade 5 Module 2 Lesson 22 Problem Set Answer Key

Question 1.
Divide. Then, check using multiplication. The first one is done for you.
a. 580 ÷ 17 580/17 = 2.

Explanation:
In the above-given question,
given that,
Divide, and then check.
17 x 3 = 51.
58 – 51 = 7.
70-68 = 2.

b. 730 ÷ 32

730/32 = 28.

Explanation:
In the above-given question,
given that,
Divide, and then check.
32 x 2 = 64.
73 – 64 = 9.
92-64 = 28. c. 940 ÷ 28

940/28 = 16.

Explanation:
In the above-given question,
given that,
Divide, and then check.
28 x 3 = 84.
94 – 84 = 10.
100 – 84 = 16. d. 553 ÷ 23

553/23 = 1.

Explanation:
In the above-given question,
given that,
Divide, and then check.
23 x 2 = 46.
55 – 46 = 9.
73 – 72 = 1. e. 704 ÷ 46

704/46 = 14.

Explanation:
In the above-given question,
given that,
Divide, and then check.
46 x 1 = 46.
70 – 46 = 24.
244 – 230 = 14. f. 614 ÷ 15

614/15 = 14.

Explanation:
In the above-given question,
given that,
Divide, and then check.
15 x 4 = 600.
614 – 600 = 14. Question 2.
Halle solved 664 ÷ 48 below. She got a quotient of 13 with a remainder of 40. How could she use her work below to solve 659 ÷ 48 without redoing the work? Explain your thinking. 659/48 = 35.

Explanation:
In the above-given question,
given that,
Divide, and then check.
48 x 1 = 48.
65 – 48 = 17.
179 – 144 = 35. Question 3.
27 students are learning to make balloon animals. There are 172 balloons to be shared equally among the students.
a. How many balloons are left over after sharing them equally?

The balloons are left over after sharing them equally = 10.

Explanation:
In the above-given question,
given that,
27 students are learning to make balloon animals.
There are 172 ballons to be shared equally among the students.
27 x 6 = 162.
172 – 162 = 10.

b. If each student needs 7 balloons, how many more balloons are needed? Explain how you know.

The more ballons are needed = 17.

Explanation:
In the above-given question,
given that,
If each student needs 7 balloons,
27 x 7 = 189.
189 – 172 = 17.
the more ballons are needed = 17.

### Eureka Math Grade 5 Module 2 Lesson 22 Exit Ticket Answer Key

Divide. Then, check using multiplication.
a. 413 ÷ 19

413/19 = 6.

Explanation:
In the above-given question,
given that,
Divide, and then check.
19 x 2 = 38.
41 – 38 = 3.
33 – 27 = 6. b. 708 ÷ 67

708/67 = 12.

Explanation:
In the above-given question,
given that,
Divide, and then check.
67 x 1 = 67.
70 – 67 = 38.
380 – 268 = 12. ### Eureka Math Grade 5 Module 2 Lesson 22 Homework Answer Key

Question 1.
Divide. Then, check using multiplication. The first one is done for you.
a. 487 ÷ 21 b. 485 ÷ 15

485/15 = 5.

Explanation:
In the above-given question,
given that,
Divide, and then check.
3 x 15 = 45.
48 – 45 = 3.
35 – 30 = 5. c. 700 ÷ 21

553/23 = 1.

Explanation:
In the above-given question,
given that,
Divide, and then check.
23 x 2 = 46.
55 – 46 = 9.
73 – 72 = 1.

d. 399 ÷ 31

399/31 = 27.

Explanation:
In the above-given question,
given that,
Divide, and then check.
31 x 1 = 31.
39 – 31 = 8.
89 – 62 = 27. e. 820 ÷ 42

820/42 = 22.

Explanation:
In the above-given question,
given that,
Divide, and then check.
42 x 1 = 42.
82 – 42 = 40.
400 – 378 = 22. f. 908 ÷ 56

908/56 = 12.

Explanation:
In the above-given question,
given that,
Divide, and then check.
56 x 1 = 56.
90 – 56 = 34.
348 – 336 = 12. Question 2.
When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the student’s work, and use the check to find the error in the solution.

878/31 = 10.

Explanation:
In the above-given question,
given that,
Divide, and then check.
31 x 2 = 62.
87 – 62 = 25.
258 – 248 = 10.

Question 3.
A baker was going to arrange 432 desserts into rows of 28. The baker divides 432 by 28 and gets a quotient of 15 with remainder 12. Explain what the quotient and remainder represent.