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
R
5.
1)
2×7
270 ÷ 28 =
R
6.
⁄
8
2)
=
11
R
11
7.
3)
23
202 ÷ 23 =
R
8.
4)
11
216 ÷ 22 =
T
9.
⁄
11
5)
=
19
T
19
10.
6)
2×2×2×3
193 ÷ 24 =
T
11.
7)
3
230 ÷ 30 =
R
12.
⁄
22
8)
=
29
R
29
13.
⁄
9
9)
=
5×5
T
25
14.
⁄
10)
19
=
2×2×5
T
20
15.
11)
5
13 ÷ 5 =
12)
3×3
71 ÷ 9 =
⁄
13)
12
=
3×3
27
14)
2×2
42 ÷ 8 =
⁄
1
15)
=
2
2
1-10 93 87 80 73 67 60 53 47 40 33
3
Math
11-15 27 20 13 7
0
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