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)
10
=
3×3×3
R
27
6.
2)
2×2×3
127 ÷ 12 =
T
7.
3)
3×3
91 ÷ 9 =
R
8.
4)
13
240 ÷ 26 =
T
9.
5)
5
38 ÷ 5 =
T
10.
⁄
6
6)
=
23
R
23
11.
⁄
7)
9
=
2×5
R
10
12.
⁄
6
8)
=
29
T
29
13.
⁄
1
9)
=
2
R
2
14.
10)
2×2×2×2
87 ÷ 16 =
T
15.
11)
19
165 ÷ 19 =
⁄
5
12)
=
2×3
6
⁄
13)
6
=
2×2
8
14)
11
222 ÷ 22 =
15)
2×2
23 ÷ 4 =
1-10 93 87 80 73 67 60 53 47 40 33
1
Math
11-15 27 20 13 7
0
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