Eureka Math Grade 5 Module 1 Lesson 5 Answer Key

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
Eureka Math Grade 5 Module 1 Lesson 5 Sprint Answer Key 1
Eureka Math Grade 5 Module 1 Lesson 5 Sprint Answer Key 2
Answer:-
Eureka-Math-Grade-5-Module-1-Lesson-5-Sprint-Answer-Key-1
Eureka-Math-Grade-5-Module-1-Lesson-5-Sprint-Answer-Key-2

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
Eureka Math Grade 5 Module 1 Lesson 5 Sprint Answer Key 3
Eureka Math Grade 5 Module 1 Lesson 5 Sprint Answer Key 4A
Answer:-
Eureka-Math-Grade-5-Module-1-Lesson-5-Sprint-Answer-Key-3

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
Eureka Math Grade 5 Module 1 Lesson 5 Problem Set Answer Key 6
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
Eureka-Math-Grade-5-Module-1-Lesson-5-Problem-Set-Answer-Key-6

c. 57.281
Answer:-  5 x 10 + 7 x 1 + 2 x 01 + 8 x 0.01 + 1 x 0.001
Eureka-Math-Grade-5-Module-1-Lesson-5-Problem-Set-Answer-Key-6 (1)

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
Eureka-Math-Grade-5-Module-1-Lesson-5-Problem-Set-Answer-Key-6-1-1

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
Eureka Math 5th Grade Module 1 Lesson 5 Homework Answer Key 7
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
Eureka-Math-5th-Grade-Module-1-Lesson-5-Homework-Answer-Key-7

c. 49.564
Answer:-  4 × 10 + 9 × 1 + 5 × 0.1 + 6 × 0.01 + 4 × 0.001
Eureka-Math-5th-Grade-Module-1-Lesson-5-Homework-Answer-Key-7

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
Eureka-Math-5th-Grade-Module-1-Lesson-5-Homework-Answer-Key-7

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.

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