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Objective
Express rational numbers as decimals
and decimals as fractions
Vocabulary
Rational number
Any number that can be expressed in the form
a/b, where a and b are integers and b ≠ 0
All integers, fractions, and mixed numbers are
rational numbers
Vocabulary
Terminating decimal
A decimal when the division ends, or
terminates, and the remainder is 0
.625
Vocabulary
Repeating decimal
A decimal where it is not possible to write all
the digits without a remainder
.666. . .
Would be written .6
Vocabulary
Bar notation
A bar placed above the repeating part of a
decimal
8.6363636363. . .
8.63
Example 1 Write a Fraction as a Decimal
Example 2 Write a Mixed Number as a Decimal
Example 3 Round a Repeating Decimal
Example 4 Write a Terminating Decimal as a Fraction
Example 5 Write a Repeating Decimal as a Fraction
Write problem
Write
as a decimal.
Use the calculator
3
16
ENTER
0.1875
Put numerator in calculator
which is 3
Push 
Answer: 0.1875
Put denominator in
calculator which is 16
Push =
1/5
Write
as a decimal.
Answer: 0.0625
1/5
Write problem
Write
as a decimal.
Use the calculator
Write the whole number
which is 3 and then a decimal
Put numerator in calculator
which is 2
2
11
ENTER
Push 
3.
Put denominator in
calculator which is 11
Push =
2/5
Write
as a decimal.
Notice: a zero is in the one’s
place on the calculator
The zero has no value as a
whole number so drop it
2
11
ENTER
3.
3.18
0.1818181818
There is a repeating number
which is 18
Put 18 to the right of the decimal
Answer: 3.18
Put a bar notation over the 18
since it is repeating
2/5
Write
as a decimal.
Answer: 5.1
2/5
AGRICULTURE A Florida 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, then write it as a decimal
8.
15
Write problem
Remember: a fraction is a part
over the whole
Part: 8 that did not produce
fruit
Whole: All the orange trees
3/5
Now write as decimal using the
calculator
8.
15
Put numerator in calculator which
is 8
Push 
8
15
ENTER
0.53333 . . .
Put denominator in
calculator which is 15
Push =
Answer: 0.53
3 is repeating so write 0.53
Put a bar notation over the
repeating 3
3/5
SCHOOL In Mrs. Hinote’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, then write it as a
decimal rounding to the nearest hundredth.
Answer: 0.18
3/5
Write problem
Write 0.32 as a fraction.
0.32
Use the calculator
Put number in calculator as it
is read 0.32
Push the 2nd key
0.32 2nd
Push the
This key
converts
fractions to
decimals and
decimals to
fractions
4/5
Write 0.16 as a fraction.
Answer:
4/5
ALGEBRA Write
Write problem
Use the calculator
as a mixed number.
Remember the bar notation over the 7
means the 7 is being repeated
Put number in calculator
2.7 and repeat the 7
several time
2.77777 2nd
Push the 2nd key
Answer:
Push the
5/5
*
ALGEBRA Write
as a mixed number.
Answer:
5/5
Assignment
Lesson 2:1 Fractions & Decimals
14 - 37 All