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9.2 Answers
1)
Numbers that cannot be written as a quotient of two integers are irrational.
2)
Together, rational and irrational numbers make up the set of real numbers.
3)
rational; the decimal terminates
5)
7)
rational; the decimal repeats
6)
rational; 36 = 6 which terminates
8)
irrational; since it is the square root of something that is not a perfect square, the decimal doesn’t
terminate or repeat
9)
irrational; since it is the square root of something that is not a perfect square, the decimal doesn’t
terminate or repeat
10)
rational; 144 = 12 which terminates
11)
rational; can be written as a fraction
13)
rational;
15)
A; it is the only rational number in the group
22)
<; mental math
23)
>; estimation
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=; mental math
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<; estimation
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<; estimation
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=; mental math
28)
<; calculator
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<; calculator
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>; estimation
33)
C
36)
0.45, 0.455, 0.45, 0.68
38)
-4, -3.75, 1.5,
42)
65)
66)
67)
4)
100 10
which is a fraction

81
9
34)
0.131, 0.13, 0.133, 0.13
8
64 can be written as 8, which is rational
irrational; the decimal doesn’t terminate or repeat
rational; the decimal terminates
25 5
 which is a fraction
49 7
12)
rational;
14)
rational; can be written as a fraction
40)
63)
31)
D
3
1
3.5,  12,  , 
4
4
B
64)
irrational
Rational—any fraction or decimal between 8 and 9
Irrational—square root of any number between 65 and 80
Yes; the length of each side is 110  10.49 ft. Since 10.49 is less than 10.5 and 11.2, the carpet will
fit in the room.
20 stencils