Transcript Write as a decimal.

Main Idea and New Vocabulary
Key Concept: Rational Numbers
Example 1: Write a Fraction as a Decimal
Example 2: Write a Fraction as a Decimal
Example 3: Real-World Example
Example 4: Write Decimals as Fractions
Example 5: Write Decimals as Fractions
• Express rational numbers as decimals and
decimals as fractions.
• rational number
• terminating decimal
• repeating decimal
Write a Fraction as a Decimal
Write
as a decimal.
means 3 ÷ 16.
0.18 75
Divide 3 by 16.
Write a Fraction as a Decimal
Answer: 0.1875
Write
as a decimal.
A. 0.55
B. 0.5625
C. 0.916
_
D. 1.7
Write a Fraction as a Decimal
Write
as a decimal.
can be written as
.
Divide 35 by 11 and add a negative sign.
3
–33
20
–11
90
–88
2
Write a Fraction as a Decimal
Answer:
Write
A.
B.
C. 5.5
D. 5.7
as a decimal.
FRUIT When Juliana went strawberry picking,
28 of the 54 strawberries she picked weighed less
than 2 ounces. To the nearest thousandth, find the
fraction of the strawberries that weighed less than
2 ounces.
To find the fraction of the strawberries that weighed
less than 2 ounces, divide the number of strawberries
that weighed less than 2 ounces, 28, by the total
number of strawberries, 54.
28  54 ENTER 0.5185185185
Look at the digit to the right of the thousandths place.
Since the digit is 5, round up.
Answer: The fraction of the strawberries that
weighed less than 2 ounces was 0.519.
SCHOOL In Mrs. Townley’s eighth grade science
class, 4 out of 22 students did not turn in their
homework. To the nearest thousandth find the
fraction of students who did not turn in their
homework.
A. 0.094
B. 0.148
C. 0.182
D. 0.252
Write a Fraction as a Decimal
Write 0.32 as a fraction.
0.32
0.32 is 32 hundredths.
Simplify.
Answer:
Write 0.65 as a fraction.
A.
B.
C.
D.
Write Decimals as Fractions
ALGEBRA Write
simplest form.
as a mixed number in
Assign a variable to the value
. Let N = 2.777... .
Then perform operations on N to determine its
fractional value.
Write Decimals as Fractions
N = 2.777...
10(N) = 10(2.777...)
Multiply each side by 10 because
1 digit repeats.
10N = 27.777...
Multiplying by 10 moves the
decimal point 1 place to the right.
− N = 2.777...
Subtract N = 0.777... to eliminate
the repeating part.
9N = 25
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25
N=
9
Answer:
Simplify.
Divide each side by 9.
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Write –0.45 as a fraction in simplest form.
A.
B.
C.
D.