## Engage NY Eureka Math 5th Grade Module 1 Lesson 2 Answer Key

### Eureka Math Grade 5 Module 1 Lesson 2 Problem Set Answer Key

Question 1.
Solve.
a. 54,000 × 10 = ___________________
54,000 × 10 = 5,40,000

b. 54,000 ÷ 10 = ___________________
54,000 ÷ 10 = 5,400

c. 8.7 × 10 = ___________________
8.7 × 10 = 87

d. 8.7 ÷ 10 = ___________________
8.7 ÷ 10 = 0.87

e. 0.13 × 100 = ___________________
0.13 x 100 = 13

f. 13 ÷ 1,000 = ___________________
13 ÷ 1,000 =  0.013

g. 3.12 × 1,000 = ___________________
3.12 x 1000 = 3120

h. 4,031.2 ÷ 100 = ___________________
4,031.2 ÷ 100 = 40.312

Question 2.
Find the products.
a. 19,340 × 10 = ___________________
19,340 × 10 = 193400

b. 19,340 × 100 = ___________________
19,340 × 100 = 1934000

c. 19,340 × 1,000 = ___________________
19,340 × 1000 = 19340000

d. Explain how you decided on the number of zeros in the products for (a), (b), and (c).

Question 3.
Find the quotients.
a. 152 ÷ 10 = ___________________
152 ÷ 10 = 15.2

b. 152 ÷ 100 = ___________________
152 ÷ 100 = 1.52

c. 152 ÷ 1,000 = ___________________
152 ÷ 1000 = 0.152

d. Explain how you decided where to place the decimal in the quotients for (a), (b), and (c).
Answer:- When we divide any number  by 10,100,1000 it changes its quotient and becomes less value because  when the number
is in right of the decimal it has less value. Likewise, when the value is dividing it with 1000 its value becomes 0 Something.
When we divide any number with any number its gradually decreases and distribute its value to the dividing number. If the number
having one zero it get one point if two zeroes two points etc.,

Question 4.
Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a place value chart to correct Janice’s error.
Answer:-  20 hundredths is not equal to 2 thousandths because 20 hundredths is 0.20 and 2 thousandths is 0.002 therefore they are not equal. Question 5.
Canada has a population that is about $$\frac{1}{10}$$ as large as the United States. If Canada’s population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.
Answer:- Canada is 1/10 of United States. So, that means United states has 10 times the population of Canada. Then, we have to multiply
Population of Canada with 10. We get,
32,000,000 x 10 = 320,000,000
So, the population of Canada is 32million and the population of United states is 10 times more of Canada that means 320million population.

### Eureka Math Grade 5 Module 1 Lesson 2 Exit Ticket Answer Key

Question 1.
Solve.
a. 32.1 × 10 = ___________________
32.1 x 10 = 321

b. 3632.1 ÷ 10 = ___________________
3632.1 ÷ 10 = 363.21

Question 2.
Solve.
a. 455 × 1,000 = ___________________
455 x 1,000 = 455000

b. 455 ÷ 1,000 = ___________________
455 ÷ 1,000 = 0.455

### Eureka Math Grade 5 Module 1 Lesson 2 Homework Answer Key

Question 1.
Solve.
a. 36,000 × 10 = ___________________
36,000 × 10 = 360000

b. 36,000 ÷ 10 = ___________________
36,000 ÷ 10 = 3600

c. 4.3 × 10 = ___________________
4.3 x 10 =  43

d. 4.3 ÷ 10 = ___________________
4.3 ÷ 10 = 0.43

e. 2.4 × 100 = ___________________
2.4 x 100 = 240

f. 24 ÷ 1,000 = ___________________
24 ÷ 1,000 = 0.024

g. 4.54 × 1,000 = ___________________
4.54 × 1,000 = 4540

h. 3,045.4 ÷ 100 = ___________________
3,045.4 ÷ 100 = 30.454

Question 2.
Find the products.

a. 14,560 × 10 = ___________________
14,560 × 10 = 145600

b. 14,560 × 100 = ___________________
14,560 × 100 = 1456000

c. 14,560 × 1,000 = ___________________
14,560 × 1,000 = 14560000

Explain how you decided on the number of zeros in the products for (a), (b), and (c).
Answer:- When any number is multiplied with any number means the actual number increases its value. If multiplied with 10 one zero
will be added and if with 100, two zeroes will be added. Likewise, if more zeroes added it has highest value .

Question 3.
Find the quotients.
a. 16.5 ÷ 10 = ___________________
16.5 ÷ 10 = 1.65

b. 16.5 ÷ 100 = ___________________
16.5 ÷ 100 = 0.165

c. Explain how you decided where to place the decimal in the quotients for (a) and (b).
Answer:-  In (a) I have moved 6 to decimal value now it is 10 times smaller and in the same way I have moved both 1 and 6 to the
decimal value now it becomes 100 times smaller to its actual value.

Question 4.
Ted says that 3 tenths multiplied by 100 equals 300 thousandths. Is he correct? Use a place value chart to explain your answer.
Answer:-  No, He is not right. The 3 tenth value is 0.3 if it is multiplied with 100 means it becomes 30. He thinks 0.3 have to divide with 100
Then it becomes 0.003. Question 5.
Alaska has a land area of about 1,700,000 square kilometers. Florida has a land area $$\frac{1}{10}$$ the size of Alaska. What is the land area of Florida? Explain how you found your answer.
Answer:- Florida is 1/10 of Alaska. So, that means Florida has 10 times less land area of Alaska. Then, we have to divide the land are of Alaska
with 10. Then We get,
1,700,000 ÷ 10 = 1,70,000
So, the population of Canada is 32million and the population of United states is 10 times more of Canada that means 320million population.