Converting Decimals Into Fractions Worksheet With Answers Page 4
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2
3
4
5
6Converting Fractions to Decimals
When the denominator is a 10, 100, or 1,000:
Therefore:
7
Remind students that when we
8
0.7 =
= 0.8
10
convert decimals to fractions, the
10
81
number of decimal places reveals
25
0.81 =
= 0.25
the value of the denominator. The
100
100
same is true when converting
9
276
0.009 =
fractions to decimals.
= 0.276
1000
1000
407
17
0.407 =
= 1.7
The denominator informs us how
1000
10
many decimal places our number will
contain. 1000 = 10
3
, therefore our
answer has three (3) decimal places.
Making equivalent fractions:
1
2
2
2
2
= 1 , therefore according to the
i
=
2
5
5
2
Identity Property of Multiplication the
4
=
2
10
value of
remains the same.
= 0.4
5
Other examples:
3
3
2
6
6
4
5
5
25
7
7
4
i
i
i
i
=
=
=
=
50
50
2
25
25
4
4
4
25
250
250
4
6
24
125
28
=
=
=
=
100
100
100
1000
= 0.06
= 0.24
= 1.25
= 0.028
CST Released Test Question:
Solution:
3
3
3
20
What decimal is equal to
?
i
=
5
5
5
20
A) 0.30
60
=
B) 0.35
100
C) 0.60
= 0.60
D) 1.67
Page 4 of 6
MCC@WCCUSD 12/01/11
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