## 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

Answer:-

Question 1.

62.3 × 10 =

Answer:-

62.3 × 10 = 623

Question 2.

62.3 × 100 =

Answer:-

62.3 × 100 = 6230

Question 3.

62.3 × 1,000 =

Answer:-

62.3 × 1,000 = 62300

Question 4.

73.6 × 10 =

Answer:-

73.6 × 10 = 736

Question 5.

73.6 × 100 =

Answer:-

73.6 × 100 = 7360

Question 6.

73.6 × 1,000 =

Answer:-

73.6 × 1000 = 73600

Question 7.

0.6 × 10 =

Answer:-

0.6 × 10 = 6

Question 8.

0.06 × 10 =

Answer:-

0.06 × 10 = 0.6

Question 9.

0.006 × 10 =

Answer:-

0.006 × 10 = 0.06

Question 10.

0.3 × 10 =

Answer:-

0.3 × 10 = 3

Question 11.

0.3 × 100 =

Answer:-

0.3 × 100 = 30

Question 12.

0.3 × 1,000 =

Answer:-

0.3 × 1000 = 300

Question 13.

0.02 × 10 =

Answer:-

0.02 × 10 = 0.2

Question 14.

0.02 × 100 =

Answer:-

0.02 × 100 = 2

Question 15.

0.02 × 1,000 =

Answer:-

0.02 × 1000 = 20

Question 16.

0.008 × 10 =

Answer:-

0.008 × 10 = 0.08

Question 17.

0.008 × 100 =

Answer:-

0.008 × 100 = 0.8

Question 18.

0.008 × 1,000 =

Answer:-

0.008 × 1000 = 8

Question 19.

0.32 × 10 =

Answer:-

0.32 × 10 = 3.2

Question 20.

0.67 × 10 =

Answer:-

0.67 × 10 = 6.7

Question 21.

0.91 × 100 =

Answer:-

0.91 × 100 = 91

Question 22.

0.74 × 100 =

Answer:-

0.74 × 100 = 74

Question 23.

4.1 × 1,000 =

Answer:-

4.1 × 1,000 = 4100

Question 24.

7.6 × 1,000 =

Answer:-

7.6 × 1,000 = 7600

Question 25.

0.01 × 1,000 =

Answer:-

0.01 × 1,000 = 10

Question 26.

0.07 × 1,000 =

Answer:-

0.07 × 1,000 = 70

Question 27.

0.072 × 100 =

Answer:-

0.072 × 100 = 7.2

Question 28.

0.802 × 10 =

Answer:-

0.802 × 10 = 8.02

Question 29.

0.019 × 1,000 =

Answer:-

0.019 × 1,000 = 19

Question 30.

7.412 × 1,000 =

Answer:-

7.412 × 1,000 = 7412

Question 31.

6.8 × 100 =

Answer:-

6.8 × 100 = 680

Question 32.

4.901 × 10 =

Answer:-

4.901 × 10 = 49.01

Question 33.

16.07 × 100 =

Answer:-

16.07 × 100 = 1607

Question 34.

9.19 × 10 =

Answer:-

9.19 × 10 = 91.9

Question 35.

18.2 × 100 =

Answer:-

18.2 × 100 = 1820

Question 36.

14.7 × 1,000 =

Answer:-

14.7 × 1,000 = 14700

Question 37.

2.021 × 100 =

Answer:-

2.021 × 100 = 202.1

Question 38.

172.1 × 10 =

Answer:-

172.1 × 10 = 1721

Question 39.

3.2 × 20 =

Answer:-

3.2 × 20 = 64

Question 40.

4.1 × 20 =

Answer:-

4.1 × 20 = 82

Question 41.

3.2 × 30 =

Answer:-

3.2 × 30 = 96

Question 42.

1.3 × 30 =

Answer:-

1.3 × 30 = 39

Question 43.

3.12 × 40 =

Answer:-

3.12 × 40 = 124.8

Question 44.

14.12 × 40 =

Answer:-

14.12 × 40 = 564.8

B

Multiply Decimals by 10, 100, and 1,000

A

Answer:-

Question 1.

46.1 × 10 =

Answer:-

46.1 × 10 = 461

Question 2.

46.1 × 100 =

Answer:-

46.1 × 100 = 4610

Question 3.

46.1 × 1,000 =

Answer:-

46.1 × 1000 = 46100

Question 4.

89.2 × 10 =

Answer:-

89.2 × 10 = 892

Question 5.

89.2 × 100 =

Answer:-

89.2 × 100 = 8920

Question 6.

89.2 × 1,000 =

Answer:-

89.2 × 1000 = 89200

Question 7.

0.3 × 10 =

Answer:-

0.3 × 10 = 3

Question 8.

0.03 × 10 =

Answer:-

0.03 × 10 = 0.3

Question 9.

0.003 × 10 =

Answer:-

0.003 × 10 = 0.03

Question 10.

0.9 × 10 =

Answer:-

0.9 × 10 = 9

Question 11.

0.9 × 100 =

Answer:-

0.9 × 100 = 90

Question 12.

0.9 × 1,000 =

Answer:-

0.9 × 1000 = 900

Question 13.

0.04 × 10 =

Answer:-

0.04 × 10 = 0.4

Question 14.

0.04 × 100 =

Answer:-

0.04 × 100 = 4

Question 15.

0.04 × 1,000 =

Answer:-

0.04 × 1000 = 40

Question 16.

0.007 × 10 =

Answer:-

0.007 × 10 = 0.07

Question 17.

0.007 × 100 =

Answer:-

0.007 × 100 = 0.7

Question 18.

0.007 × 1,000 =

Answer:-

0.007 × 1000 = 7

Question 19.

0.45 × 10 =

Answer:-

0.45 × 10 = 4.5

Question 20.

0.78 × 10 =

Answer:-

0.78 × 10 = 7.8

Question 21.

0.28 × 100 =

Answer:-

0.28 × 10 = 2.8

Question 22.

0.19 × 100 =

Question 23.

5.2 × 1,000 =

Answer:-

5.2 × 1,000 = 5200

Question 24.

8.7 × 1,000 =

Answer:-

8.7 × 1,000 = 8700

Question 25.

0.01 × 1,000 =

Answer:-

0.01 × 1,000 = 10

Question 26.

0.08 × 1,000 =

Answer:-

0.08 × 1,000 = 80

Question 27.

0.083 × 10 =

Answer:-

0.083 × 10 = 0.83

Question 28.

0.903 × 10 =

Answer:-

0.903 × 10 = 9.03

Question 29.

0.017 × 1,000 =

Answer:-

0.017 × 1,000 = 17

Question 30.

8.523 × 1,000 =

Answer:-

8.523 × 1,000 = 8523

Question 31.

7.9 × 100 =

Answer:-

7.9 × 100 = 790

Question 32.

5.802 × 10 =

Answer:-

5.802 × 10 = 58.02

Question 33.

27.08 × 100 =

Answer:-

27.08 × 100 = 2708

Question 34.

8.18 × 10 =

Answer:-

8.18 × 10 = 81.8

Question 35.

29.3 × 100 =

Answer:-

29.3 × 100 = 2930

Question 36.

25.8 × 1,000 =

Answer:-

25.8 × 1,000 = 25800

Question 37.

3.032 × 100 =

Answer:-

3.032 × 100 = 303.2

Question 38.

283.1 × 10 =

Answer:-

283.1 × 10 = 2831

Question 39.

2.1 × 20 =

Answer:-

2.1 × 20 = 42

Question 40.

3.3 × 20 =

Answer:-

3.3 × 20 = 66

Question 41.

3.1 × 30 =

Answer:-

3.1 × 30 = 93

Question 42.

1.2 × 30 =

Answer:-

1.2 × 30 = 36

Question 43.

2.11 × 40 =

Answer:-

2.11 × 40 = 84.4

Question 44.

13.11 × 40 =

Answer:-

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

Answer:- 0.004

b. Twenty-four thousandths

Answer:- 0.024

c. One and three hundred twenty-four thousandths

Answer:- 1.324

d. Six hundred eight thousandths

Answer:- 0.608

e. Six hundred and eight thousandths

Answer:- 600.008

f. \(\frac{46}{1000}\)

Answer:- 0.046

g. 3\(\frac{946}{1000}\)

Answer:- 3.946

h. 200\(\frac{904}{1000}\)

Answer:- 200.904

Question 2.

Express each of the following values in words.

a. 0.005 __________________

Answer:- Five thousandths

b. 11.037 __________________

Answer:- Eleven and thirty-seven thousandths

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 × (\(\frac{1}{1000}\))

Answer:- 74.692

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

Answer:- 530.809

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.

Answer:- 0.009

Question 2.

Express twenty-nine thousandths as a fraction.

Answer:- 29/1000

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

Answer:- 0.005

b. Thirty-five thousandths

Answer:- 0.035

c. Nine and two hundred thirty-five thousandths

Answer:- 9.235

d. Eight hundred and five thousandths

Answer:- 800.005

e. \(\frac{8}{1000}\)

Answer:- 0.008

f. \(\frac{28}{1000}\)

Answer:- 0.028

g. 7\(\frac{528}{1000}\)

Answer:- 7.528

h. 300\(\frac{502}{1000}\)

Answer:- 300.502

Question 2.

Express each of the following values in words.

a. 0.008 ______________________________________________________________________

Answer:- Eight thousandths

b. 15.062 ______________________________________________________________________

Answer:- Fifteen and sixty-two thousandths

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 × (\(\frac{1}{1000}\))

Answer:- 35.276

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

Answer:- 920.307

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

Answer:- 5,408.065

Question 5.

At the beginning of a lesson, a piece of chalk is 4.875 inches long. At the end of the lesson, it is 3.125 inches long. Write the two amounts in expanded form using fractions.

a. At the beginning of the lesson:

Answer:- 4 x 1 + 8 x 1/10 + 7 x 1/100 + 5 x 1/100

b. At the end of the lesson:

Answer:- 3 x 1 + 1 x 1/10 + 2 x 1/100 + 5 x 1/1000

Question 6.

Mrs. Herman asked the class to write an expanded form for 412.638. Nancy wrote the expanded form using fractions, and Charles wrote the expanded form using decimals. Write their responses.

Answer:- Nancy: 4 x 100 + 1 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/100 + 8 x 1/1000

Charles: 4 x 100 + 1 x 10 + 2 x 1 + 0.6 + 0.03+ 0.008.