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.
