## Engage NY Eureka Math 5th Grade Module 2 Lesson 26 Answer Key

### Eureka Math Grade 5 Module 2 Lesson 26 Problem Set Answer Key

Question 1.
156 ÷ 24 and 102 ÷ 15 both have a quotient of 6 and a remainder of 12.
a. Are the division expressions equivalent to each other? Use your knowledge of decimal division to justify your answer.

156/24 = 6.5.
102/15 = 6.8

Explanation:
In the above-given question,
given that,
156/24 and 102/15 both have a quotient of 6 and a remainder of 12.
156/24 = 6.5.
102/15 = 6.8.
Yes, the division expressions equivalent to each other.

b. Construct your own division problem with a two-digit divisor that has a quotient of 6 and a remainder of 12 but is not equivalent to the problems in 1(a).

30/18 = 6.
42/30 = 6.

Explanation:
In the above-given question,
given that,
30/18 and 42/30 both have a quotient of 6 and a remainder of 12.
30/18 = 6.
42/30 = 6.

Question 2.
Divide. Then, check your work with multiplication.
a. 36.14 ÷ 13

36.14/13 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
13 x 2 = 26.
36 – 26 = 10.
13 x 8 = 104.
104-104 = 0. b. 62.79 ÷ 23

62.79/23 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
23 x 2 = 46.
62 – 46 = 16.
23 x 3 = 69.
69-69 = 0. c. 12.21 ÷ 11

12.21/11 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
11 x 1 = 11.
12 – 11 = 1.
11 x 1 = 11.
11-11 = 0. d. 6.89 ÷ 13

6.89/13 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
13 x 5 = 65.
68 – 65 = 3.
13 x 3 = 39.
39-39 = 0. e. 249.6 ÷ 52

249.6/52 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
52 x 4 = 208.
249 – 208 =41.
52 x 8 = 416.
416-416 = 0. f. 24.96 ÷ 52

24.96/52 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
52 x 4 = 208.
249 – 208 =41.
52 x 8 = 416.
416-416 = 0. g. 300.9 ÷ 59

300.9/59 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
59 x 5 = 295.
300 – 295 =5.
59 x 1 = 59.
59-59 = 0. h. 30.09 ÷ 59

30.09/59 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
59 x 5 = 295.
300 – 295 =5.
59 x 1 = 59.
59-59 = 0. Question 3.
The weight of 72 identical marbles is 183.6 grams. What is the weight of each marble? Explain how you know the decimal point of your quotient is placed reasonably.

The weight of each marble = 2.55 grams.

Explanation:
In the above-given question,
given that,
The weight of 72 identical marbles is 183.6 grams.
183.6/72.
2.55 grams.

Question 4.
Cameron wants to measure the length of his classroom using his foot as a length unit. His teacher tells him the length of the classroom is 23 meters. Cameron steps across the classroom heel to toe and finds that it takes him 92 steps. How long is Cameron’s foot in meters?

The Cameron’s foot in meters = 2116 meters.

Explanation:
In the above-given question,
given that,
Cameron wants to measure the length of his classroom using his foot as a length unit.
His teacher tells him the length of the classroom is 23 meters.
Cameron steps across the classroom heel to toe finds that it takes him 92 steps.
23 x 92 = 2116 meters.

Question 5.
A blue rope is three times as long as a red rope. A green rope is 5 times as long as the blue rope. If the total length of the three ropes is 508.25 meters, what is the length of the blue rope?

The length of the blue rope = 34 meters.

Explanation:
In the above-given question,
given that,
A blue rope is three times as long as a red rope.
A green rope is 5 times as long as the blue rope.
if the total length of the three ropes is 508.25 meters.
508.25/5 = 101.65.
101.65 = 33.88.

### Eureka Math Grade 5 Module 2 Lesson 26 Exit Ticket Answer Key

Question 1.
Estimate. Then, divide using the standard algorithm and check.
a. 45.15 ÷ 21

45.15/21 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
21 x 2 = 42.
45 – 42 =3.
21 x 5 = 105.
105-105 = 0. b. 14.95 ÷ 65

14.95/65 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
65 x 2 = 130.
149 – 130 =19.
65 x 3 = 195.
195-195 = 0. Question 2.
We learned today that division expressions that have the same quotient and remainders are not necessarily equal to each other. Explain how this is possible.

### Eureka Math Grade 5 Module 2 Lesson 26 Homework Answer Key

Question 1.
Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division.

Question 2.
Divide. Then, check your work with multiplication.
a. 75.9 ÷ 22

75.9/22 = 1.1.

Explanation:
In the above-given question,
given that,
Divide, and then check.
22 x 3 = 66.
75 – 66 =9.
22 x 4 = 88.
99-88 = 11. b. 97.28 ÷ 19

97.28/19 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
19 x 5 = 95.
97 – 95 =2.
19 x 2 = 38.
38-38 = 0. c. 77.14 ÷ 38

77.14/38 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
38 x 2 = 76.
77 – 76 =1.
38 x 3 = 114.
114-114 = 0. d. 12.18 ÷ 29

12.18/29 = 0.

Explanation:
In the above-given question,
given that,
Divide, and then check.
29 x 4 = 116.
121 – 116 =5.
29 x 2 = 58.
58-58 = 0. Question 3.
Divide.
a. 97.58 ÷ 34

97.58/34 = 2.87.

Explanation:
In the above-given question,
given that,
97.58/34.
2.87.

b. 55.35 ÷ 45

55.35/45 = 1.23.

Explanation:
In the above-given question,
given that,
55.35/45.
1.23.

Question 4.
Use the equations on the left to solve the problems on the right. Explain how you decided where to place the decimal in the quotient.
a. 520.3 ÷ 43 = 12.1 52.03 ÷ 43 = ______1.21______________

52.03/43 = 1.21.

Explanation:
In the above-given question,
given that,
52.03/43.
1.21.

b. 19.08 ÷ 36 = 0.53 190.8 ÷ 36 = _______5.3_____________

190.8/36 = 5.3.

Explanation:
In the above-given question,
given that,
190.8/36.
5.3.

Question 5.
You can look up information on the world’s tallest buildings at http://www.infoplease.com/ipa/A0001338.html.
a. The Aon Centre in Chicago, Illinois, is one of the world’s tallest buildings. Built in 1973, it is 1,136 feet high and has 80 stories. If each story is of equal height, how tall is each story?

The tall is each story = 14.2 feet.

Explanation:
In the above-given question,
given that,
The Aon Center in Chicago, Illinois, is one of the world’s tallest buildings.
Built-in 1973, it is 1,136 feet high and has 80 stories.
1136/80 = 14.2 feet.

b. Burj al Arab Hotel, another one of the world’s tallest buildings, was finished in 1999. Located in Dubai, it is 1,053 feet high with 60 stories. If each floor is the same height, how much taller or shorter is each floor than the height of the floors in the Aon Center?