Finding Repeating Decimals Worksheet With Answer Key
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1
2Name:
Finding Repeating Decimals
Determine if each problem when converted to a decimal will result in a repeating (R) or
A n s w e r s
terminating (T) decimal.
R
A fraction will result in a terminating decimal if the prime factors of the
1.
simplified denominator contain only 2s or 5s (or only 2s and 5s).
⁄
⁄
R
6
3
2.
=
= 2×2×5 = 0.15
40
20
R
3.
A fraction will result in a repeating decimal if the prime factors of the
simplified denominator contain any prime factor other than 2 or 5.
R
⁄
5
4.
= 2×3×7 = 0.1190476
42
T
5.
⁄
1)
8
=
3
T
24
6.
⁄
4
2)
=
13
T
13
7.
3)
11
78 ÷ 11 =
R
8.
4)
7
159 ÷ 21 =
T
9.
5)
5
62 ÷ 10 =
T
10.
6)
2
18 ÷ 4 =
R
11.
7)
2×2
273 ÷ 28 =
R
12.
⁄
24
8)
=
3×3
R
27
13.
9)
5
24 ÷ 5 =
R
14.
⁄
10)
15
=
2×2×2×2
R
16
15.
⁄
8
11)
=
11
22
⁄
8
12)
=
3×3
18
⁄
13)
6
=
3
9
14)
3×5
157 ÷ 15 =
⁄
6
15)
=
7
7
1-10 93 87 80 73 67 60 53 47 40 33
2
Math
11-15 27 20 13 7
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