Section 1.1
Number Systems
11
Version: Fall 2007
1.1
Exercises
In
Exercises 1
-
8
, find the prime factor-
ization of the given natural number.
1.
80
2.
108
3.
180
4.
160
5.
128
6.
192
7.
32
8.
72
In
Exercises 9
-
16
, convert the given dec-
imal to a fraction.
9.
0
.
648
10.
0
.
62
11.
0
.
240
12.
0
.
90
13.
0
.
14
14.
0
.
760
15.
0
.
888
16.
0
.
104
In
Exercises 17
-
24
, convert the given
repeating decimal to a fraction.
17.
0
.
27
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1
18.
0
.
171
19.
0
.
24
20.
0
.
882
21.
0
.
84
22.
0
.
384
23.
0
.
63
24.
0
.
60
25.
Prove that
√
3
is irrational.
26.
Prove that
√
5
is irrational.
In
Exercises 27
-
30
, copy the given ta-
ble onto your homework paper. In each
row, place a check mark in each column
that is appropriate. That is, if the num-
ber at the start of the row is rational,
place a check mark in the rational col-
umn.
Note: Most (but not all) rows will
have more than one check mark.
27.
N
W
Z
Q
R
0
−
2
−
2
/
3
0.15
0
.
2
√
5
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12
Chapter 1
Preliminaries
Version: Fall 2007
28.
N
W
Z
Q
R
10
/
2
π
−
6
0
.
9
√
2
0
.
37
29.
N
W
Z
Q
R
−
4
/
3
12
0
√
11
1
.
3
6
/
2
30.
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- Prime number, Rational number
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