Lesson 5.1 Rational Numbers Worksheet Page 2
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Example 2
Writing Fractions as Decimals
3
5
a. Write
as a decimal.
b. Write
as a decimal.
8
1
1
Reading Algebra
0.4545. . .
a.
0.375
b.
11 5 .0 0 0 0
8 3 .0 0 0
When you use a bar to show
44
24
which digit or digits repeat in a
decimal, be sure to put the bar
60
60
over only the repeating digits.
55
56
For example,
50
40
0.45555. . .
0.45
44
40
60
3.26767. . .
3.26 7
0
55
Answer The remainder is 0,
Answer Use a bar to show the
so the decimal is a terminating
repeating digits in the
3
5
decimal:
0.375.
repeating decimal:
0.45 .
8
1
1
Checkpoint
Write the fraction or mixed number as a decimal.
3
2
9
2
9
3. 1
1.
2.
4.
1
0
3
2
0
8
0
Example 3
Using Decimals to Compare Fractions
Of the 50 mammal species found in Canyonlands National Park,
Biology
20 species belong to the order Rodentia. Of the 54 mammal species
found in Badlands National Park, 24 belong to Rodentia. In which park
is the fraction of mammal species belonging to Rodentia greater?
Solution
Write a fraction for each park. Then write each fraction as a
1
decimal by dividing the numerator by the denominator.
Ro
d
en
ti
a
s
p
e
c
i
e
s
Canyonlands
2
0
Write fraction.
National Park
M
a
m
m
a
l
s
p
e
c
i
e
s
5
0
0.4
Divide.
Ro
d
en
ti
a
s
p
e
c
i
e
s
2
4
Badlands
Write fraction.
Real World
M
a
m
m
a
l
s
p
e
c
i
e
s
5
4
In the
National Park
0.444. . .
Biology
The yellow-bellied
Divide.
marmot belongs to the order
0.4
Rodentia. Yellow-bellied
Repeating digit
marmots typically live at
Compare the decimals. By writing 0.4 as 0.400, you can see that
2
elevations from 6500 feet to
2
4
2
0
13,500 feet. Find the difference
0.444. . . is greater than 0.400. So 0.4 > 0.4, and
>
.
5
4
5
0
of these two elevations.
Answer The fraction in Badlands National Park is greater.
220
Chapter 5
Rational Numbers and Equations
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