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

### Eureka Math Grade 5 Module 1 Lesson 5 Sprint Answer Key

A
Multiply Decimals by 10, 100, and 1,000

Question 1.
62.3 × 10 =
62.3 × 10 = 623

Question 2.
62.3 × 100 =
62.3 × 100 = 6230

Question 3.
62.3 × 1,000 =
62.3 × 1,000 = 62300

Question 4.
73.6 × 10 =
73.6 × 10 = 736

Question 5.
73.6 × 100 =
73.6 × 100 = 7360

Question 6.
73.6 × 1,000 =
73.6 × 1000 = 73600

Question 7.
0.6 × 10 =
0.6 × 10 = 6

Question 8.
0.06 × 10 =
0.06 × 10 = 0.6

Question 9.
0.006 × 10 =
0.006 × 10 = 0.06

Question 10.
0.3 × 10 =
0.3 × 10 = 3

Question 11.
0.3 × 100 =
0.3 × 100 = 30

Question 12.
0.3 × 1,000 =
0.3 × 1000 = 300

Question 13.
0.02 × 10 =
0.02 × 10 = 0.2

Question 14.
0.02 × 100 =
0.02 × 100 = 2

Question 15.
0.02 × 1,000 =
0.02 × 1000 = 20

Question 16.
0.008 × 10 =
0.008 × 10 = 0.08

Question 17.
0.008 × 100 =
0.008 × 100 = 0.8

Question 18.
0.008 × 1,000 =
0.008 × 1000 = 8

Question 19.
0.32 × 10 =
0.32 × 10 = 3.2

Question 20.
0.67 × 10 =
0.67 × 10 = 6.7

Question 21.
0.91 × 100 =
0.91 × 100 = 91

Question 22.
0.74 × 100 =
0.74 × 100 = 74

Question 23.
4.1 × 1,000 =
4.1 × 1,000 = 4100

Question 24.
7.6 × 1,000 =
7.6 × 1,000 = 7600

Question 25.
0.01 × 1,000 =
0.01 × 1,000 = 10

Question 26.
0.07 × 1,000 =
0.07 × 1,000 = 70

Question 27.
0.072 × 100 =
0.072 × 100 = 7.2

Question 28.
0.802 × 10 =
0.802 × 10 = 8.02

Question 29.
0.019 × 1,000 =
0.019 × 1,000 = 19

Question 30.
7.412 × 1,000 =
7.412 × 1,000 = 7412

Question 31.
6.8 × 100 =
6.8 × 100 = 680

Question 32.
4.901 × 10 =
4.901 × 10 = 49.01

Question 33.
16.07 × 100 =
16.07 × 100 = 1607

Question 34.
9.19 × 10 =
9.19 × 10 = 91.9

Question 35.
18.2 × 100 =
18.2 × 100 = 1820

Question 36.
14.7 × 1,000 =
14.7 × 1,000 = 14700

Question 37.
2.021 × 100 =
2.021 × 100 = 202.1

Question 38.
172.1 × 10 =
172.1 × 10 = 1721

Question 39.
3.2 × 20 =
3.2 × 20 = 64

Question 40.
4.1 × 20 =
4.1 × 20 = 82

Question 41.
3.2 × 30 =
3.2 × 30 = 96

Question 42.
1.3 × 30 =
1.3 × 30 = 39

Question 43.
3.12 × 40 =
3.12 × 40 = 124.8

Question 44.
14.12 × 40 =
14.12 × 40 = 564.8

B
Multiply Decimals by 10, 100, and 1,000

A

Question 1.
46.1 × 10 =
46.1 × 10 = 461

Question 2.
46.1 × 100 =
46.1 × 100 = 4610

Question 3.
46.1 × 1,000 =
46.1 × 1000 = 46100

Question 4.
89.2 × 10 =
89.2 × 10 = 892

Question 5.
89.2 × 100 =
89.2 × 100 = 8920

Question 6.
89.2 × 1,000 =
89.2 × 1000 = 89200

Question 7.
0.3 × 10 =
0.3 × 10 = 3

Question 8.
0.03 × 10 =
0.03 × 10 = 0.3

Question 9.
0.003 × 10 =
0.003 × 10 = 0.03

Question 10.
0.9 × 10 =
0.9 × 10 = 9

Question 11.
0.9 × 100 =
0.9 × 100 = 90

Question 12.
0.9 × 1,000 =
0.9 × 1000 = 900

Question 13.
0.04 × 10 =
0.04 × 10 = 0.4

Question 14.
0.04 × 100 =
0.04 × 100 = 4

Question 15.
0.04 × 1,000 =
0.04 × 1000 = 40

Question 16.
0.007 × 10 =
0.007 × 10 = 0.07

Question 17.
0.007 × 100 =
0.007 × 100 = 0.7

Question 18.
0.007 × 1,000 =
0.007 × 1000 = 7

Question 19.
0.45 × 10 =
0.45 × 10 = 4.5

Question 20.
0.78 × 10 =
0.78 × 10 = 7.8

Question 21.
0.28 × 100 =
0.28 × 10 = 2.8

Question 22.
0.19 × 100 =

Question 23.
5.2 × 1,000 =
5.2 × 1,000 = 5200

Question 24.
8.7 × 1,000 =
8.7 × 1,000 = 8700

Question 25.
0.01 × 1,000 =
0.01 × 1,000 = 10

Question 26.
0.08 × 1,000 =
0.08 × 1,000 = 80

Question 27.
0.083 × 10 =
0.083 × 10 = 0.83

Question 28.
0.903 × 10 =
0.903 × 10 = 9.03

Question 29.
0.017 × 1,000 =
0.017 × 1,000 = 17

Question 30.
8.523 × 1,000 =
8.523 × 1,000 = 8523

Question 31.
7.9 × 100 =
7.9 × 100 = 790

Question 32.
5.802 × 10 =
5.802 × 10 = 58.02

Question 33.
27.08 × 100 =
27.08 × 100 = 2708

Question 34.
8.18 × 10 =
8.18 × 10 = 81.8

Question 35.
29.3 × 100 =
29.3 × 100 = 2930

Question 36.
25.8 × 1,000 =
25.8 × 1,000 = 25800

Question 37.
3.032 × 100 =
3.032 × 100 = 303.2

Question 38.
283.1 × 10 =
283.1 × 10 = 2831

Question 39.
2.1 × 20 =
2.1 × 20 = 42

Question 40.
3.3 × 20 =
3.3 × 20 = 66

Question 41.
3.1 × 30 =
3.1 × 30 = 93

Question 42.
1.2 × 30 =
1.2 × 30 = 36

Question 43.
2.11 × 40 =
2.11 × 40 = 84.4

Question 44.
13.11 × 40 =
13.11 × 40 = 524.4

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

Question 1.
Express as decimal numerals. The first one is done for you.

a. Four thousandths
b. Twenty-four thousandths
c. One and three hundred twenty-four thousandths
d. Six hundred eight thousandths
e. Six hundred and eight thousandths
f. $$\frac{46}{1000}$$
g. 3$$\frac{946}{1000}$$
h. 200$$\frac{904}{1000}$$

Question 2.
Express each of the following values in words.
a. 0.005 __________________

b. 11.037 __________________

c. 403.608 __________________
Answer:- Four hundred three and six hundred eight thousandths

Question 3.
Write the number on a place value chart. Then, write it in expanded form using fractions or decimals to express the decimal place value units. The first one is done for you.
a. 35.827

35.827 = 3 × 10 + 5 × 1 + 8 × ($$\frac{1}{10}$$) + 2 × ($$\frac{1}{100}$$) + 7 × (\frac{1}{1000}) or
= 3 × 10 + 5 × 1 + 8 × 0.1 + 2 × 0.01 + 7 × 0.001

b. 0.249
Answer:-  2 x 0.1 + 4 x 0.01 + 9 x 0.001

c. 57.281
Answer:-  5 x 10 + 7 x 1 + 2 x 01 + 8 x 0.01 + 1 x 0.001

Question 4.
Write a decimal for each of the following. Use a place value chart to help, if necessary.
a. 7 × 10 + 4 × 1 + 6 × ($$\frac{1}{10}$$) + 9 × ($$\frac{1}{100}$$) + 2 × ($$\frac{1}{1000}$$)

b. 5 × 100 + 3 × 10 + 8 × 0.1 + 9 × 0.001

c. 4 × 1,000 + 2 × 100 + 7 × 1 + 3 × ($$\frac{1}{100}$$) + 4 × ($$\frac{1}{1000}$$)
Answer:-  4000 + 200 + 7 + 0.3 + 0.04
4,207.034

Question 5.
Mr. Pham wrote 2.619 on the board. Christy says it is two and six hundred nineteen thousandths. Amy says it is 2 ones 6 tenths 1 hundredth 9 thousandths. Who is right? Use words and numbers to explain your answer.
Answer:-   Mr. Pham wrote 2.619 and for that Christy says two and six hundred nineteen thousandths which means 2.619 and
Amy says 2 ones 6 tenths 1 hundredth 9 thousandths which means 2.619. So, that implies both of them said right.

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

Question 1.
Express nine thousandths as a decimal.

Question 2.
Express twenty-nine thousandths as a fraction.

Question 3.
Express 24.357 in words.
Answer:- Twenty-four and three hundred fifty-seven thousandths.
a. Write the expanded form using fractions or decimals.
Answer:- 2 × 10 + 4 × 1 + 3 × 0.1 + 5 × 0.01 + 7 × 0.001

b. Express in unit form.
Answer:- 2 tens 4 ones 3 tenths 5 hundredths 7 thousandths.

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

Question 1.
Express as decimal numerals. The first one is done for you.
a. Five thousandths

b. Thirty-five thousandths

c. Nine and two hundred thirty-five thousandths

d. Eight hundred and five thousandths

e. $$\frac{8}{1000}$$

f. $$\frac{28}{1000}$$

g. 7$$\frac{528}{1000}$$

h. 300$$\frac{502}{1000}$$

Question 2.
Express each of the following values in words.
a. 0.008 ______________________________________________________________________

b. 15.062 ______________________________________________________________________

c. 607.409 ______________________________________________________________________
Answer:-  Six hundred seven and four hundred nine  thousandths

Question 3.
Write the number on a place value chart. Then, write it in expanded form using fractions or decimals to express the decimal place value units. The first one is done for you.
a. 27.346

27.346 = 2 × 10 + 7 × 1 + 3 × ($$\frac{1}{10}$$) + 4 × ($$\frac{1}{100}$$ ) + 6 × ($$\frac{1}{1000}$$ ) or
27.346 = 2 × 10 + 7 × 1 + 3 × 0.1 + 4 × 0.01 + 6 × 0.001

b. 0.362
Answer:-  3 × 0.1 + 6 × 0.01 + 2 × 0.001

c. 49.564
Answer:-  4 × 10 + 9 × 1 + 5 × 0.1 + 6 × 0.01 + 4 × 0.001

Question 4.
Write a decimal for each of the following. Use a place value chart to help, if necessary.
a. 3 × 10 + 5 × 1 + 2 × ($$\frac{1}{10}$$) + 7 × ($$\frac{1}{100}$$) + 6 × ($$\frac{1}{1000}$$)

b. 9 × 100 + 2 × 10 + 3 × 0.1 + 7 × 0.001

c. 5 × 1000 + 4 × 100 + 8 × 1 + 6 × ($$\frac{1}{100}$$) + 5 × ($$\frac{1}{1000}$$)