Rational / Irrational #5
Middle School Math Course 3 / 8th Grade (Mr. Davis)
Student Name/ID:
1. Check all statements that are true.
Since it is a terminating decimal, 14.1 is rational.
49 is irrational.
8
Since it is a ratio of two integers,
is irrational.
5
Since it is a repeating decimal, 19.6 1 is rational.
Since 15 is not a perfect square, 15 is irrational.
Since
49 is a perfect square,
None of these are true.
2. Classify each number below as a rational number or an irrational number.
rational
irrational
−12 π
−
21
55. 68
−25.83
49
Rational / Irrational #5
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3. Check all statements that are true.
7 is rational.
5
Since it is a ratio of two integers,
is rational.
8
Since 36 is a perfect square, 36 is irrational.
Since it is an integer, −18 is rational.
Since it is a repeating decimal, 1. 39 is irrational.
Since
7 is not a perfect square,
None of these are true.
4. Check all statements that are true.
Since it is a repeating decimal, 1.7 1 is irrational.
Since it is a terminating decimal, 9.46 is rational.
9 is a perfect square, 9 is irrational.
Since 13 is not a perfect square, 13 is rational.
5
Since it is a ratio of two integers,
is rational.
4
Since
None of these are true.
5. Classify each number below as a rational number or an irrational number.
rational
2
3
−
64
irrational
15 π
−97.43
23. 20
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6. Classify each number below as a rational number or an irrational number.
rational
irrational
π
15
42.8
−
36
33. 1
7. Classify each number below as a rational number or an irrational number.
rational
irrational
−67.81
20 π
− 66. 13
16
−
13
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8. Check all statements that are true.
Since it is a ratio of two integers,
is irrational.
5 is irrational.
Since it is a terminating decimal, 8.1 is rational.
Since
5 is not a perfect square,
9
6
Since it is a repeating decimal, 17. 42 is irrational.
Since it is an integer, −13 is rational.
None of these are true.
9. Classify each number below as a rational number or an irrational number.
rational
irrational
88. 67
−
16
−2
6
4π
−
19
16
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10. Classify each number below as a rational number or an irrational number.
rational
−
irrational
4
−73.29
−2
7
− 73. 47
12 π
11. Check all statements that are true.
Since
100 is a perfect square,
100
is rational.
Since it is a repeating decimal, 13. 5 is irrational.
15 is irrational.
7
Since it is a ratio of two integers,
is irrational.
12
Since it is a terminating decimal, 9.32 is rational.
Since
15 is not a perfect square,
None of these are true.
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12. Classify each number below as a rational number or an irrational number.
rational
irrational
20. 16
29
11 π
−
81
13
9
13. Classify each number below as a rational number or an irrational number.
rational
irrational
16
62.37
88. 2
13 π
10
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14. Check all statements that are true.
2
is rational.
8
Since it is a terminating decimal, 6.3 is irrational.
Since it is a ratio of two integers,
6 is not a perfect square, 6 is rational.
Since 16 is a perfect square, 16 is rational.
Since it is an integer, 16 is irrational.
Since
None of these are true.
15. Classify each number below as a rational number or an irrational number.
rational
−
49
−
15
irrational
−16 π
− 69. 56
7
11
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16. Classify each number below as a rational number or an irrational number.
rational
3
irrational
3
19.62
70. 28
9π
−
81
17. Classify each number below as a rational number or an irrational number.
rational
irrational
− 93. 97
1
−82.75
26
−13 π
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18. Classify each number below as a rational number or an irrational number.
rational
irrational
4
4.36
5
71. 64
10 π
19. Check all statements that are true.
Since it is a terminating decimal, 9.5 is rational.
25 is irrational.
9
Since it is a ratio of two integers,
is irrational.
8
Since
25 is a perfect square,
Since it is a repeating decimal, 19.6 3 is rational.
Since 11 is not a perfect square,
None of these are true.
11
is irrational.
13
is rational.
20. Check all statements that are true.
Since
13 is not a perfect square,
Since it is a ratio of two integers,
5
8
is rational.
64 is a perfect square, 64 is irrational.
Since it is an integer, −10 is rational.
Since
Since it is a repeating decimal, 14. 65 is irrational.
None of these are true.
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21. Check all statements that are true.
Since it is a repeating decimal, 13.8 9 is irrational.
Since it is a terminating decimal, 11.85 is rational.
100 is a perfect square, 100 is irrational.
Since 15 is not a perfect square, 15 is rational.
13
Since it is a ratio of two integers,
is rational.
10
Since
None of these are true.
22. Classify each number below as a rational number or an irrational number.
rational
−
irrational
6
81
60.23
− 28. 10
−4 π
23. Check all statements that are true.
Since it is a ratio of two integers,
is irrational.
3 is irrational.
Since it is a terminating decimal, 13.8 is rational.
Since
3 is not a perfect square,
6
4
Since it is a repeating decimal, 8. 71 is irrational.
Since it is an integer, −2 is rational.
None of these are true.
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Rational / Irrational #5 Answers for class 8th Grade
1.
Since it is a terminating decimal, 14.1 is rational.
Since
49 is a perfect square,
49
is irrational.
8
5
is irrational.
Since it is a ratio of two integers,
Since it is a repeating decimal, 19.6 1 is rational.
Since
15 is not a perfect square,
15
is irrational.
None of these are true.
2.
rational
irrational
−12 π
−
21
55. 68
−25.83
49
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3.
Since
7 is not a perfect square,
Since it is a ratio of two integers,
Since
36 is a perfect square,
Since it is an integer,
7
is rational.
5
8
is rational.
36
is irrational.
−18 is rational.
Since it is a repeating decimal, 1. 39 is irrational.
None of these are true.
4.
Since it is a repeating decimal, 1.7 1 is irrational.
Since it is a terminating decimal, 9.46 is rational.
Since
9 is a perfect square,
9
Since
13 is not a perfect square,
Since it is a ratio of two integers,
is irrational.
13
5
4
is rational.
is rational.
None of these are true.
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5.
2
3
−
64
rational
irrational
rational
irrational
15 π
−97.43
23. 20
6.
π
15
42.8
−
36
33. 1
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7.
rational
irrational
−67.81
20 π
− 66. 13
16
−
13
8.
Since it is a ratio of two integers,
Since
5 is not a perfect square,
9
6
is irrational.
5
is irrational.
Since it is a terminating decimal, 8.1 is rational.
Since it is a repeating decimal, 17. 42 is irrational.
Since it is an integer,
−13 is rational.
None of these are true.
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9.
rational
irrational
rational
irrational
88. 67
−
16
−2
6
4π
−
19
16
10.
−
4
−73.29
−2
7
− 73. 47
12 π
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11.
Since
100 is a perfect square,
100
is rational.
Since it is a repeating decimal, 13. 5 is irrational.
Since
15 is not a perfect square,
Since it is a ratio of two integers,
15
7
12
is irrational.
is irrational.
Since it is a terminating decimal, 9.32 is rational.
None of these are true.
12.
rational
irrational
20. 16
29
11 π
−
81
13
9
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13.
rational
irrational
16
62.37
88. 2
13 π
10
14.
Since it is a ratio of two integers,
2
8
is rational.
Since it is a terminating decimal, 6.3 is irrational.
Since
6 is not a perfect square,
Since
16 is a perfect square,
6
16
is rational.
is rational.
Since it is an integer, 16 is irrational.
None of these are true.
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15.
−
49
−
15
rational
irrational
rational
irrational
−16 π
− 69. 56
7
11
16.
3
3
19.62
70. 28
9π
−
81
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17.
rational
irrational
rational
irrational
− 93. 97
1
−82.75
26
−13 π
18.
4
4.36
5
71. 64
10 π
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19.
Since it is a terminating decimal, 9.5 is rational.
Since
25 is a perfect square,
25
is irrational.
9
8
is irrational.
Since it is a ratio of two integers,
Since it is a repeating decimal, 19.6 3 is rational.
Since
11 is not a perfect square,
11
is irrational.
13
is rational.
None of these are true.
20.
Since
13 is not a perfect square,
Since it is a ratio of two integers,
Since
64 is a perfect square,
Since it is an integer,
5
8
64
is rational.
is irrational.
−10 is rational.
Since it is a repeating decimal, 14. 65 is irrational.
None of these are true.
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21.
Since it is a repeating decimal, 13.8 9 is irrational.
Since it is a terminating decimal, 11.85 is rational.
Since
100 is a perfect square,
Since
15 is not a perfect square,
Since it is a ratio of two integers,
100
is irrational.
15
13
10
is rational.
is rational.
None of these are true.
22.
rational
−
irrational
6
81
60.23
− 28. 10
−4 π
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23.
Since it is a ratio of two integers,
Since
3 is not a perfect square,
6
4
is irrational.
3
is irrational.
Since it is a terminating decimal, 13.8 is rational.
Since it is a repeating decimal, 8. 71 is irrational.
Since it is an integer,
−2 is rational.
None of these are true.
Rational / Irrational #5
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