Solutions Manual for Intermediate Algebra: Concepts and Applications 8th Edition, by Marvin L. Bittinger. All Chapters are covered.

INSTRUCTOR’S
SOLUTIONS MANUAL
CHRISTI VERITY
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E LEMENTARY AND
A
I NTERMEDIATE ALGEBRA:
C ONCEPTS AND APPLICATIONS
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EIGHTH EDITION
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Bittinger/Ellenbogen/Johnson
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1 Prime Factorizations 9. 15  35
40  2  2  2  5
60  2  2  3  5
1. 33  3  11 The GCF of 15, 40, and 60 is 5.
The prime factorization is 3  11.
10. 70  2  5  7
2. 121  11  11 105  3  5  7
The prime factorization is 11  11. 350  2  5  5  7
The GCF of 70, 105, and 350 is 5  7, or 35.
3. 18  2  9  2  3  3
The prime factorization is 2  3  3.
3 Least Common Multiple
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4. 56  2  28  2  2  14  2  2  2  7
The prime factorization is 2  2  2  7. 1. 24  2  2  2  3
27  3  3  3
5. 120  2  60  2  2  30  2  2  2  15  2  2  2  3  5 The LCM of 24 and 27 is 2  2  2  3  3  3, or 216.
The prime factorization is 2  2  2  3  5.
2. 33
6. 90  2  45  2  3  15  2  3  3  5
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15  3  5
The prime factorization is 2  3  3  5. The LCM of 3 and 15 is 3  5, or 15.
7. 210  2  105  2  3  35  2  3  5  7 3. 50  2  5  5
The prime factorization is 2  3  5  7. 60  2  2  3  5
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8. 91  7  13 The LCM of 50 and 60 is 2  2  3  5  5, or 300.
The prime factorization is 7  13. 4. 13  13
23  23
2 Greatest Common Factor The LCM of 13 and 23 is 13  23, or 299.
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1. 36  2  2  33 5. 45  3  3  5
48  2  2  2  2  2  3 72  2  2  2  3  3
The GCF of 36 and 48 is 2  2  3, or 12. The LCM of 45 and 72 is 2  2  2  3  3  5, or 360.

2. 13  13 6. 30  2  3  5
52  2  2  13 36  2  2  3  3
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The GCF of 13 and 52 is 13. The LCM of 30 and 36 is 2  2  3  3  5, or 180.

3. 27  333 7. 12  2  2  3
40  2  2  2  5 28  2  2  7
The GCF of 27 and 40 is 1. The LCM of 12 and 28 is 2  2  3  7, or 84.
4. 54  2  3  3  3 8. 8  222
180  2  2  3  3  5 16  2  2  2  2
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The GCF of 54 and 180 is 2  3  3, or 18. 22  2  11
5. 18  2  3  3 The LCM of 8, 16, and 22 is 2  2  2  2  11, or 176.
66  2  3  11 9. 55
The GCF of 18 and 66 is 2  3, or 6. 12  2  2  3
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15  3  5
6. 30  2  3  5
135  3  3  3  5 The LCM of 5, 12, and 15 is 2  2  3  5, or 60.
The GCF of 30 and 135 is 3  5, or 15. 10. 24  2  2  2  3
35  5  7
7. 40  2  2  2  5
45  3  3  5
220  2  2  5  11
The LCM of 24, 35, and 45 is
The GCF of 40 and 220 is 2  2  5, or 20.
2  2  2  3  3  5  7, or 2520.
8. 14  2  7
42  2  3  7
The GCF of 14 and 42 is 2  7, or 14.



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4 Equivalent Expressions and Fraction 6 Converting from Decimal Notation to
Notation Fraction Notation

1. 7  1  7  3  21 1. 5.3  53 1 place, 1 zero
8 8 3 24 10

2. 5  1  5  8  40 2. 0.67  67 2 places, 2 zeros
6 6 8 48 100

3. 5  1  5  4  20 40,008
3. 4.0008  4 places, 4 zeros
4 4 4 16 10,000

4. 2  1  2  6  12 4. 1122.3 
11, 223
1 place, 1 zero
9 9 6 54 10
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5. 3  1  3  7  21 14,703
11 11 7 77 5. 14.703  3 places, 3 zeros
1000
6. 13  1  13  5  65 6. 0.9  9 1 place, 1 zero
16 16 5 80 10
A
5 Mixed Numerals 7. 183.42 
18,342
2 places, 2 zeros
100
1. 5 2  17 3  5  15, 15  2  17 6
3 3 8. 0.006  3 places, 3 zeros
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1000
2. 9 1  91 10  9  90, 90  1  91
10 10 7 Adding and Subtracting Decimal
Notation
3. 30 4  154 5  30  150, 150  4  154
5 5
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1 1
1. 415.78
4. 1 5  13 8  1  8, 8  5  13 + 29.16
8 8
444.94
5. 66 2  200 3  66  198, 198  2  200 2
3 3
2. 35.000
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3 7.214
6. 18  5 18  18  3 3 + 128.630
5 15 5 5 170.844
3
22 1
3. 17.95
4
16.99
7. 29  6 29  29  4 5
6 6 6 + 28.85
24
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63.79
5
1
5 4. 0.600
8. 57  10 57  57  5 7 2000.430
10 50 10 10
+ 7.213
a
7 2008.243
13 7 10 10 10
9. 40  3 40  40  13 1 5. 7 8 .1 1 0
3 39 3 3
 4 5 .8 7 6
1 3 2 .2 3 4
7
10. 757  100 757  757  7 57
100 700 100 100
57



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16 9 660
7 6 10 10
7. 1.05 693  105 69300
6. 38.7 0 0
630
 11.8 6 5
630
26.8 3 5
630
15 10
0
7. 2. 6 0
 1. 0 8 0.26
8. 0.47 0.1222  47 12.22
1. 5 2
94
2 9 9 9 10 282
8. 3.0 0 0 0 282
 1. 0 8 0 7 0
1. 91 9 3
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9 Converting from Fraction Notation to
8 Multiplying and Dividing Decimal Decimal Notation
Notation
0.34375
1. 7. 3 4 2 decimal places 1. 11  32 11.00000
32
A
 1. 8 1 decimal place 96
5 8 7 2 140
7 3 4 0 128
1 3. 2 1 2 3 decimal places 120
96
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2. 0. 8 6 2 decimal places 240
 0. 9 3 2 decimal places 224
2 5 8 160
7 7 4 0 160
0. 7 9 9 8 4 decimal places 0
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3. 0. 0 0 2 4 4 decimal places 0.875
 0. 0 1 5 3 decimal places 2. 7  8 7.000
8 64
1 2 0
2 4 0 60
0. 0 0 0 3 6 0 7 decimal places 56
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40
4. 0. 4 5 7 3 decimal places 40
 3. 0 8 2 decimal places 0
3 6 5 6
0 0 0 0 1.1818
1 3 7 1 0 0 3. 13  11 13.000  13  1.18
11 11 11
1. 4 0 7 5 6 5 decimal places
20
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9.3 11
5. 7.8 72.54  78 725.4 90
702 88
234 20
234 11
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0 9

2.3
6. 72 165.6
144
216
216
0




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