Finding Repeating Decimals Worksheet With Answer Key

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Name:
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.
T
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).
T
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)
11
=
2×2×2×2
R
16
6.
2
2)
=
2
R
4
7.
3)
11
108 ÷ 22 =
T
8.
4)
3
68 ÷ 12 =
R
9.
5
5)
=
2×2
T
20
10.
20
6)
=
3×7
R
21
11.
7)
1
=
2×3×5
R
30
12.
8)
5
49 ÷ 5 =
R
13.
3
9)
=
11
T
11
14.
10)
14
=
5×5
R
25
15.
11)
19
167 ÷ 19 =
12)
13
89 ÷ 13 =
13)
3
40 ÷ 15 =
14)
2×2×2
33 ÷ 8 =
15)
3×3×3
212 ÷ 27 =
1-10 93 87 80 73 67 60 53 47 40 33
10
Math
11-15 27 20 13 7
0

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