Relate Decimals and Fractions · Practice Lesson 21 Relate Decimals and Fractions Unit 4 Practice and Problem Solving Unit 4 Number and Operations—Fractions 226 Lesson 21 Relate
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5 Tell whether each number sentence is True or False.
a. 0.3 5 3 ··· 100 u True u False
b. 0.03 5 3 ··· 100 u True u False
c. 0.3 5 30
··· 100 u True u False
d. 0.3 5 3
·· 10 u True u False
6 Write two equivalent fractions to 0.3.
7 Which of the following names the same number as 0.62? Circle the letter for all that apply.
A sixty-two hundredths
B six tenths and 2 hundredths
C 62 ·· 10
D 62 ··· 100
8 The number line below shows 1 whole divided into tenths. Write numbers in the boxes to label the missing fractions and decimal. Explain how you know what numbers to write.
0
0.1 0.2 0.4 0.5
1110
M
224224 Lesson 21Lesson 21224
M
C
M 3 ··· 10 and 30 ···· 100
Answers will vary. Possible explanation: 0.2 is two tenths or the fraction 2 ··· 10 .
0.4 is fourth tenths or the fraction 4 ··· 10 . 0.5 is five tenths or the fraction 5 ··· 10 .
I counted up by tenths from five tenths to get to eight tenths. Eight tenths
5 Mackenzie has 1 dollar, 2 dimes, and 3 pennies. Jorge has only dimes and pennies but has the same amount of money as Mackenzie. How many dimes and pennies could Jorge have?
Show your work.
Solution:
Solve.
3 Austin bought an eraser for 65 cents and a pencil for 20 cents. What fraction of a dollar did he spend? Write the fraction as a decimal.
Show your work.
Solution:
4 Tell whether each number below is equivalent
to 15 ··· 100 .
a. fifteen hundredths u Yes u No
b. 1.5 u Yes u No
c. 15 ·· 10 u Yes u No
d. 0.15 u Yes u No
What fraction of a dollar is 1 cent?
How do you write this fraction in words and as a decimal?
Can you represent the value of a dollar, a dime, and a penny as fractions or decimals to help you solve this problem?
226226 Lesson 21Lesson 21226
C
M
M
Austin spent 85 ···· 100 or 0.85 of a dollar.
65 ···· 100 1
20 ···· 100 5
85 ···· 100
85 ···· 100 5 0.85 or 85 cents
Answers may vary. Possible work:
Mackenzie: 1 1 0.2 1 0.03
1 1 2
··· 10 1 3 ···· 100 5 1 23 ···· 100
Any combination of dimes and pennies that equals $1.23 is
acceptable. Possible answer: Jorge could have 12 dimes and 3 pennies.
Students might also draw a hundredths model and a tenths model to solve the problem.