Write Fractions As Decimals And Decimals As Fractions
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2Name ——————————————————————————
Date — — — — — — — — — — — — — —
CA Standard
Reteach
NS 1.1
2.3
For use with pages 46–52
Write fractions as decimals and decimals as fractions.
GOAL
VOCABULARY
When a long division problem results in a remainder of 0, the
quotient is a terminating decimal. Sometimes, long division
gives a repeating decimal, where one or more digits repeat
without end.
1
Writing Fractions as Decimals
E X A M P L E
9
9
Write (a)
and (b) 4
as decimals.
25
20
Solution
0.36
0.45
25 9 .0 0
a.
Write zeros
20 9 .0 0
Write zeros
b.
7 5
in dividend as
8 0
in dividend as
1 50
1 00
placeholders.
placeholders.
1 5 0
1 0 0
0
0
Remainder is zero.
Remainder is zero.
9
9
Answer:
0.36
Answer: 4
4
0.45
4.45
25
20
Exercises for Example 1
....................................................................................................
Write the fraction or mixed number as a decimal.
3
3
7
6
9
1.
2.
3.
8
20
25
2
Writing Fractions as Repeating Decimals
E X A M P L E
11
26
Write (a)
and (b)
as decimals.
9
99
Solution
0.2626. . .
The digits 2
1.22. . .
The digit
and 6 keep
99 2 6 .0 0 0 0
b.
9 1 1 .0 0
a.
2 keeps
repeating.
1 9 8
9
repeating.
6 20
20
5 9 4
1 8
Remainder will
260
20
never be zero.
1 9 8
620
11
Remainder will
Answer:
1. 2
9
never be zero.
26
Answer:
0. 26
99
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