## Engage NY Eureka Math 5th Grade Module 2 Lesson 24 Answer Key

### Eureka Math Grade 5 Module 2 Lesson 24 Problem Set Answer Key

Question 1.

Divide. Show the division in the right-hand column in two steps. The first two have been done for you.

a. 1.2 ÷ 6 = 0.2

Answer:

1.2/6 = 0.2.

Explanation:

In the above-given question,

given that,

1.2/6.

0.2.

b. 1.2 ÷ 60 = (1.2 ÷ 6) ÷ 10 = 0.2 ÷ 10 = 0.02

Answer:

1.2/60 = 0.02.

Explanation:

In the above-given question,

given that,

1.2/60.

(1.2/6)/10.

0.2/10.

0.02

c. 2.4 ÷ 4 = ___0.6______________________

Answer:

2.4/4 = 0.6.

Explanation:

In the above-given question,

given that,

2.4/4.

0.6.

d. 2.4 ÷ 40 = _(2.4 ÷ 4) ÷ 10 = 0.6 ÷ 10 = 0.06_______________

Answer:

2.4/40 = 0.06.

Explanation:

In the above-given question,

given that,

2.4/40.

(2.4/4)/10.

0.6/10.

0.06.

e. 14.7 ÷ 7 = ______2.1__________________

Answer:

14.7/7 = 2.1.

Explanation:

In the above-given question,

given that,

14.7/7.

2.1.

f. 14.7 ÷ 70 = ___14.7 ÷ 7) ÷ 10 = 2.1 ÷ 10 = 0.21______

Answer:

14.7/70 = 0.06.

Explanation:

In the above-given question,

given that,

14.7/70.

(14.7/7)/10.

2.1/10.

0.21.

g. 0.34 ÷ 2 = ______0.17___________________

Answer:

0.34/2 = 0.17.

Explanation:

In the above-given question,

given that,

0.34/2.

0.17.

h. 3.4 ÷ 20 = _______0.17__________________

Answer:

3.4/20 = 0.17.

Explanation:

In the above-given question,

given that,

3.4/20.

(3.4/2)/10.

1.7/10.

0.17.

i. 0.45 ÷ 9 = _________0.05________________

Answer:

0.45/9 = 0.05.

Explanation:

In the above-given question,

given that,

0.45/9.

0.05.

j. 0.45 ÷ 90 = ________0.005________________

Answer:

0.45/90 = 0.005.

Explanation:

In the above-given question,

given that,

0.45/90.

(0.45/9)/10.

0.05/10.

0.005.

k. 3.45 ÷ 3 = ____1.15_____________________

Answer:

3.45/3 = 1.15.

Explanation:

In the above-given question,

given that,

3.45/3.

1.15.

l. 34.5 ÷ 300 = ____0.115___________________

Answer:

34.5/300 = 0.115.

Explanation:

In the above-given question,

given that,

34.5/300.

(34.5/3)/100.

1.15/100.

0.115.

Question 2.

Use place value reasoning and the first quotient to compute the second quotient. Explain your thinking.

a. 46.5 ÷ 5 = 9.3

46.5 ÷ 50 = ____0.93_______

Answer:

46.5/50 = 0.93.

Explanation:

In the above-given question,

given that,

46.5/50.

(46.5/5)/10.

9.3/10.

0.93.

b. 0.51 ÷ 3 = 0.17

0.51 ÷ 30 = ____0.017_______

Answer:

0.51/30 = 0.017.

Explanation:

In the above-given question,

given that,

0.51/30.

(0.51/3)/10.

0.17/10.

0.017.

c. 29.4 ÷ 70 = 0.42

29.4 ÷ 7 = ___4.2________

Answer:

29.4/7 = 4.2.

Explanation:

In the above-given question,

given that,

29.4/7.

4.2.

d. 13.6 ÷ 40 = 0.34

13.6 ÷ 4 = __3.4_________

Answer:

13.6/4 = 3.4.

Explanation:

In the above-given question,

given that,

13.6/4.

3.4

Question 3.

Twenty polar bears live at the zoo. In four weeks, they eat 9,732.8 pounds of food altogether. Assuming each bear is fed the same amount of food, how much food is used to feed one bear for a week? Round your answer to the nearest pound.

Answer:

The food used to feed one bear for a week = 490 pounds.

Explanation:

In the above-given question,

given that,

twenty polar bears live at the zoo.

In four weeks, they eat 9,732.8 pounds of food altogether.

9732.8/20

486.64.

490.

Question 4.

The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg. If each bag of sugar weighs 0.75 kg, what is the weight of each bag of flour?

Answer:

The weight of each bag of flour = 39.6 kg.

Explanation:

In the above-given question,

given that,

the total weight of 30 bags of flour and 4 bags of sugar is 42.6kg.

if each bag of sugar weighs 0.75 kg.

30 + 4 = 42.6.

42.6 – 3 = 39.6.

### Eureka Math Grade 5 Module 2 Lesson 24 Exit Ticket Answer Key

Question 1.

Divide.

a. 27.3 ÷ 3

Answer:

27.3/3 = 9.1.

Explanation:

In the above-given question,

given that,

27.3/3.

9.1.

b. 2.73 ÷ 30

Answer:

2.73/30 = 0.091.

Explanation:

In the above-given question,

given that,

2.73/30.

0.091.

c. 273 ÷ 300

Answer:

273/300 = 0.91.

Explanation:

In the above-given question,

given that,

273/300.

0.91.

Question 2.

If 7.29 ÷ 9 = 0.81, then the quotient of 7.29 ÷ 90 is _____0.081____________. Use place value reasoning to explain the placement of the decimal point.

Answer:

7.29/90 = 0.081.

Explanation:

In the above-given question,

given that,

7.29/90.

(7.29/9)/10.

0.81/10.

0.081.

### Eureka Math Grade 5 Module 2 Lesson 24 Homework Answer Key

Question 1.

Divide. Show every other division sentence in two steps. The first two have been done for you.

a. 1.8 ÷ 6 = 0.3

b. 1.8 ÷ 60 = (1.8 ÷ 6) ÷ 10 = 0.3 ÷ 10 = 0.03

Answer:

1.8/60 = 0.03.

Explanation:

In the above-given question,

given that,

1.8/60.

(1.8/6)/10.

0.3/10.

0.03.

c. 2.4 ÷ 8 = ____________0.3_____________

Answer:

2.4/8 = 0.3.

Explanation:

In the above-given question,

given that,

2.4/8.

0.3.

d. 2.4 ÷ 80 = _______0.03___________________

Answer:

2.4/80 = 0.03

Explanation:

In the above-given question,

given that,

2.4/80.

(2.4/8)/10.

0.3/10.

0.03.

e. 14.6 ÷ 2 = ______7.3___________________

Answer:

14.6/2 = 7.3.

Explanation:

In the above-given question,

given that,

14.6/2.

7.3.

f. 14.6 ÷ 20 = _________0.073________________

Answer:

14.6/20 = 0.073.

Explanation:

In the above-given question,

given that,

14.6/20.

(14.6/2)/10.

7.3/10.

0.073.

g. 0.8 ÷ 4 = __________0.2________________

Answer:

0.8/4 = 0.2.

Explanation:

In the above-given question,

given that,

0.8/4.

0.2.

h. 80 ÷ 400 = _____________0.2____________

Answer:

400/80 = 0.2.

Explanation:

In the above-given question,

given that,

400/80.

(400/8)/10.

50/10.

0.2.

i. 0.56 ÷ 7 = ______0.08___________________

Answer:

0.56/7 = 0.08.

Explanation:

In the above-given question,

given that,

0.56/7.

0.08.

j. 0.56 ÷ 70 = _________0.008________________

Answer:

0.56/70 = 0.008.

Explanation:

In the above-given question,

given that,

0.56/70.

(0.56/7)/10.

0.08/10.

0.008.

k. 9.45 ÷ 9 = ____1.05_____________________

Answer:

9.45/9 = 1.05.

Explanation:

In the above-given question,

given that,

9.45/9.

1.05.

l. 9.45 ÷ 900 = ____0.0105__________________

Answer:

9.45/900 = 0.0105

Explanation:

In the above-given question,

given that,

9.45/900.

(9.45/9)/100.

1.05/100.

0.0105.

Question 2.

Use place value reasoning and the first quotient to compute the second quotient. Use place value to explain how you placed the decimal point.

a. 65.6 ÷ 80 = 0.82

65.6 ÷ 8 = ___8.2_______

Answer:

65.6/8 = 8.2.

Explanation:

In the above-given question,

given that,

65.6/8.

8.2.

b. 2.5 ÷ 50 = 0.05

2.5 ÷ 5 = __0.5________

Answer:

2.5/5 = 0.5.

Explanation:

In the above-given question,

given that,

2.5/5.

0.5.

c. 19.2 ÷ 40 = 0.48

19.2 ÷ 4 = ___4.8_______

Answer:

19.2/4 = 4.8.

Explanation:

In the above-given question,

given that,

19.2/4.

4.8.

d. 39.6 ÷ 6 = 6.6

39.6 ÷ 60 = ___0.66_______

Answer:

39.6/60 = 0.66

Explanation:

In the above-given question,

given that,

39.6/60.

(39.6/6)/10.

6.6/10.

0.66.

Question 3.

Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly

127.8 miles.

a. How many miles did he bike each day? Show your work to explain how you know.

Answer:

The number of miles he bikes each day = 2.13 miles.

Explanation:

In the above-given question,

given that,

Chris rode his bike along the same route every day for 60 days.

He logged that he had gone exactly 127.8 miles.

127.8/60.

2.13.

b. How many miles did he bike over the course of two weeks?

Answer:

The miles did he bike over the course of two weeks = 0.1521 miles.

Explanation:

In the above-given question,

given that,

2 weeks = 14 days.

2.13/14.

0.1521 miles.

Question 4.

2.1 liters of coffee were equally distributed to 30 cups. How many milliliters of coffee were in each cup?

Answer:

The milliliters of coffee were in each group = 14.2 ml.

Explanation:

In the above-given question,

given that,

2.1 liters of coffee were equally distributed to 30 cups.

2.1/30 = 14.2.