Transcript Write a Decimal as a Fraction - team

Five-Minute Check (over Chapter 1)
Main Idea and Vocabulary
Key Concepts: Rational Numbers
Example 1: Write a Fraction as a Decimal
Example 2: Write a Repeating Decimal
Example 3: Real-World Example: Round a
Repeating Decimal
Example 4: Write a Decimal as a Fraction
Example 5: Write a Decimal as a Fraction
• Express rational numbers as decimals and
decimals as fractions.
• rational number
• terminating decimal
• repeating decimal
• bar notation
Write a Fraction as a Decimal
Write
as a decimal.
0 .18 75
–16
14 0
–128
12 0
–112
80
–80
0
Answer: 0.1875
Divide 3 by 16.
A. 0.0515
B. 0.0625
C. 0.0875
0%
0%
A
B
D. 0.16
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Write a Repeating Decimal
You can divide as shown in Example 1 or use a
calculator.
–35 ÷ 11 ENTER –3.18181818
Answer:
A. 5.1
B. 5.15
C. 5.2
0%
0%
A
B
D. 5.9
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Round a Repeating Decimal
AGRICULTURE A farmer lost the fruit on
8 of 15 orange trees because of unexpected freezing
temperatures. Find the fraction of the orange trees
that did not produce fruit. Express your answer as a
decimal rounded to the nearest thousandth.
To find the fraction of trees that did not produce fruit,
divide the number of lost trees, 8, by the total number
of trees, 15.
8 ÷ 15 ENTER 0.5333333333
Look at the digit to the right of the thousandths place.
Round down since 3 < 5.
Round a Repeating Decimal
Answer: The fraction of fruit trees that did not
produce fruit was 0.533.
SCHOOL In Mrs. Townley’s eighth grade science
class, 4 out of 22 students did not turn in their
homework. Find the fraction of the students who did
not turn in their homework. Express your answer as a
decimal rounded to the nearest thousandth.
A. 0.094
B. 0.148
1.
2.
3.
4.
C. 0.182
0%
D
0%
C
0%
B
D. 0.252
A
0%
A
B
C
D
Write a Decimal as a Fraction
Write 0.32 as a fraction.
0.32 is 32 hundredths.
Simplify.
Answer:
Write 0.16 as a fraction.
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Write a Decimal as a Fraction
ALGEBRA Write 2.7 as a mixed number.
Let N = 2.7 or 2.777... . Then 10N = 27.777... .
Multiply N by 10 because 1 digit repeats.
Subtract N = 2.777... to eliminate the repeating part,
0.777... .
Write a Decimal as a Fraction
10N = 27.777...
–1N = 2.777...
9N = 25
10N – 1N = 9N
Divide each side by 9.
Simplify.
Answer:
ALGEBRA Write 1.7 as a mixed number.
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
End of the Lesson
Five-Minute Check (over Chapter 1)
Image Bank
Math Tools
Multiplying Fractions
Multiplying and Dividing Fractions
(over Chapter 1)
Evaluate 8 + (20 – 3)(2).
A. 22
B. 25
C. 42
D. 50
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Chapter 1)
Evaluate 16 + (–9).
A. 25
B. 7
C. –7
D. –25
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Chapter 1)
Evaluate –7 – 10.
A. 17
B. 3
C. –3
D. –17
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Chapter 1)
A. 90
B. 19
C. –19
D. –90
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Chapter 1)
Solve the equation
solution.
Then check your
A. 40
B. 10
C. –10
D. –40
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Chapter 1)
Yasmine earns $0.25 for each cup of lemonade she
sells. She earned $86 last Thursday selling
lemonade. How many cups of lemonade did she sell
last Thursday?
A. 344
B. 2,150
1.
2.
3.
4.
C. 340
0%
D
0%
C
A
0%
B
0%
D. 443
A
B
C
D