PART ONE Mathematics Fundamentals and Business Applications
Chapter 1 Review of Arithmetic
Exercise 1.1
A. 1. 12 + 6 3 = 12 + 2 = 14
2. (3 8 − 6) 2 = (24 − 6) 2 = 18 2 = 9
3. (7 + 4) 5 − 2 = 11 5 − 2 = 55 − 2 = 53
4. 5 3 + 2 4 = 15 + 8 = 23
5. 6(7 − 2) − 3(5 − 3) = 6(5) − 3(2) = 30 − 6 = 24
20 − 16 4 1
6. = = = 0.2
15 + 5 20 5
7. 4(8 − 5) 2 − 5(3 + 22 ) = 4(3) 2 − 5(3 + 4) = 4(9) − 5(7) = 36 − 35 = 1
8. (3 4 − 2)2 + (2 − 2 72 ) = (12 − 2) 2 + (2 − 2 49)
= 102 + (2 − 98) = 100 − 96 = 4
9. 250(1 + 0.08)10 = 250(2.158925) = 539.73
10. (1 + 0.04) 4 − 1 = 1.169859 − 1 = 0.17
11. 30 600 − 2500 − 12 600 = 18 000 − 2500 − 7200 = 8300
12. 1 − [(1 − 0.40)(1 − 0.25)(1 − 0.05)] = 1 − [(0.6)(0.75)(0.95)] = 1 − [0.4275] = 0.5725 = 0.57
13.
15 − 7 + 6(2 + 3) / 3
= 15 − 7 + 6(5) 3
= 15 − 7 + 30 3
= 15 − 7 + 10
= 18
14.
4 + 6(4 + 2)
= 8 4 + 6(6)
= 32 + 36
= 68
Copyright © 2021 Pearson Canada Inc.
,2 ISM for Hummelbrunner/Halliday/Hassanlou, Contemporary Business Mathematics, Twelfth Canadian Edition
15.
(1 − 0.7) − 4 20 5
= (0.3) − 4 4
= (0.3) − 16
= −15.7
16.
50[(1 − 0.2)(1 − 0.175)(1 − 0.04)]
= 50[(0.8)(0.825)(0.96)]
= 50[(0.6336)]
= 31.68
17.
7a − 6[4 − (3a + 6)]
= 7a − 6[4 − 3a − 6]
= 7a − 6[−2 − 3a]
= 7a + 12 + 18a
= 25a + 12
18.
6a + 4b + 2(16 − 2a + b)
= 6a + 4b + 32 − 4a + 2b
= 2a + 6b + 32
Exercise 1.2
24 12 6 2 2
A. 1. = = = = = = also =
36 18 9 3 3
28 14 7 7/7 1 1
2. = = = = = = also =
56 28 14 2 2
210 21 7 7
3. = = = = also =
360 36 12 12
360 72 8 8
4. = = = = also =
225 45 5 5
Copyright © 2021 Pearson Canada Inc.
, CHAPTER 1: Review of Arithmetic 3
144 72 8 8/4 2 2
5. = = = = = = also =
360 180 20 5 5
25 5
6. = =
365 73
365 5
7. = =
73 1
365 5
8. = =
219 3
13
B. 1. 6 1
2 =
2
5 29
2. 4 =
6 6
15
3. 3 3 4 =
4
2 26
4. 8 =
3 3
23 1
5. = 11
2 2
51 1
6. =5
10 10
31 3
7. =7
4 4
19 5
8. =2
7 7
11
C. 1. = 1.375
8
7
2. = 1.75
4
5
3. = 1.666667 = 1.6&
3
5
4. = 0.833333 = 0.83&
6
Copyright © 2021 Pearson Canada Inc.
, 4 ISM for Hummelbrunner/Halliday/Hassanlou, Contemporary Business Mathematics, Twelfth Canadian Edition
11
5. = 1.833333 = 1.83&
6
7
6. = 0.777778 = 0.7&
9
13
7. = 1.083333 = 1.083&
12
19
8. = 1.266667 = 1.26&
15
3
D. 1. 3 = 3.375
8
2
2. 3 = 3.4
5
1
3. 8 = 8.333333 = 8.3&
3
2
4. 16 = 16.666667 = 16.6&
3
1
5. 33 = 33.333333 = 33.3&
3
1
6. 83 = 83.333333 = 83.3&
3
7
7. 7 = 7.777778 = 7.7&
9
1
8. 7 = 7.083333 = 7.083&
12
E. 1. $5.63
2. $17.45
3. $18.00
4. $253.49
5 $57.70
6. $3.10
7. $13.00
8. $40.00
Copyright © 2021 Pearson Canada Inc.
Chapter 1 Review of Arithmetic
Exercise 1.1
A. 1. 12 + 6 3 = 12 + 2 = 14
2. (3 8 − 6) 2 = (24 − 6) 2 = 18 2 = 9
3. (7 + 4) 5 − 2 = 11 5 − 2 = 55 − 2 = 53
4. 5 3 + 2 4 = 15 + 8 = 23
5. 6(7 − 2) − 3(5 − 3) = 6(5) − 3(2) = 30 − 6 = 24
20 − 16 4 1
6. = = = 0.2
15 + 5 20 5
7. 4(8 − 5) 2 − 5(3 + 22 ) = 4(3) 2 − 5(3 + 4) = 4(9) − 5(7) = 36 − 35 = 1
8. (3 4 − 2)2 + (2 − 2 72 ) = (12 − 2) 2 + (2 − 2 49)
= 102 + (2 − 98) = 100 − 96 = 4
9. 250(1 + 0.08)10 = 250(2.158925) = 539.73
10. (1 + 0.04) 4 − 1 = 1.169859 − 1 = 0.17
11. 30 600 − 2500 − 12 600 = 18 000 − 2500 − 7200 = 8300
12. 1 − [(1 − 0.40)(1 − 0.25)(1 − 0.05)] = 1 − [(0.6)(0.75)(0.95)] = 1 − [0.4275] = 0.5725 = 0.57
13.
15 − 7 + 6(2 + 3) / 3
= 15 − 7 + 6(5) 3
= 15 − 7 + 30 3
= 15 − 7 + 10
= 18
14.
4 + 6(4 + 2)
= 8 4 + 6(6)
= 32 + 36
= 68
Copyright © 2021 Pearson Canada Inc.
,2 ISM for Hummelbrunner/Halliday/Hassanlou, Contemporary Business Mathematics, Twelfth Canadian Edition
15.
(1 − 0.7) − 4 20 5
= (0.3) − 4 4
= (0.3) − 16
= −15.7
16.
50[(1 − 0.2)(1 − 0.175)(1 − 0.04)]
= 50[(0.8)(0.825)(0.96)]
= 50[(0.6336)]
= 31.68
17.
7a − 6[4 − (3a + 6)]
= 7a − 6[4 − 3a − 6]
= 7a − 6[−2 − 3a]
= 7a + 12 + 18a
= 25a + 12
18.
6a + 4b + 2(16 − 2a + b)
= 6a + 4b + 32 − 4a + 2b
= 2a + 6b + 32
Exercise 1.2
24 12 6 2 2
A. 1. = = = = = = also =
36 18 9 3 3
28 14 7 7/7 1 1
2. = = = = = = also =
56 28 14 2 2
210 21 7 7
3. = = = = also =
360 36 12 12
360 72 8 8
4. = = = = also =
225 45 5 5
Copyright © 2021 Pearson Canada Inc.
, CHAPTER 1: Review of Arithmetic 3
144 72 8 8/4 2 2
5. = = = = = = also =
360 180 20 5 5
25 5
6. = =
365 73
365 5
7. = =
73 1
365 5
8. = =
219 3
13
B. 1. 6 1
2 =
2
5 29
2. 4 =
6 6
15
3. 3 3 4 =
4
2 26
4. 8 =
3 3
23 1
5. = 11
2 2
51 1
6. =5
10 10
31 3
7. =7
4 4
19 5
8. =2
7 7
11
C. 1. = 1.375
8
7
2. = 1.75
4
5
3. = 1.666667 = 1.6&
3
5
4. = 0.833333 = 0.83&
6
Copyright © 2021 Pearson Canada Inc.
, 4 ISM for Hummelbrunner/Halliday/Hassanlou, Contemporary Business Mathematics, Twelfth Canadian Edition
11
5. = 1.833333 = 1.83&
6
7
6. = 0.777778 = 0.7&
9
13
7. = 1.083333 = 1.083&
12
19
8. = 1.266667 = 1.26&
15
3
D. 1. 3 = 3.375
8
2
2. 3 = 3.4
5
1
3. 8 = 8.333333 = 8.3&
3
2
4. 16 = 16.666667 = 16.6&
3
1
5. 33 = 33.333333 = 33.3&
3
1
6. 83 = 83.333333 = 83.3&
3
7
7. 7 = 7.777778 = 7.7&
9
1
8. 7 = 7.083333 = 7.083&
12
E. 1. $5.63
2. $17.45
3. $18.00
4. $253.49
5 $57.70
6. $3.10
7. $13.00
8. $40.00
Copyright © 2021 Pearson Canada Inc.
