INTRODUCTORY
MATHEMATICS AND
STATISTICS
TH
6
EDITION
SOLUTIONS MANUAL
John S. Croucher
Chapter 1
Basic mathematics
Quick Quiz
1.
(c)
2.
(d)
3.
(c)
4.
(d)
5.
(e)
6.
(c)
7.
(b)
8.
(b)
9.
(d)
10.
(e)
Practice Questions
1.
7056
2.
(–39)
3.
3
4.
432
5.
�
6.
49.051
7.
120 cars
8.
5 bottles
9.
3.245798x104
10.
27/40
�
Exercises
1.1
(a) twenty-three
(b) fifty-nine
(c) three hundred and forty-six
(d) seven hundred and eighty-two
1.2
(a) one thousand four hundred and twenty-eight
Introductory Mathematics and Statistics 6e, John S Croucher, © 2013 McGraw-Hill Education (Australia) Pty Ltd
Solutions Manual, Chapter 1
2
(b) twenty-one thousand three hundred and forty-seven
(c) sixty-six thousand four hundred and sixty-nine
(d) nine hundred and thirty-two thousand one hundred and
fifty-eight
(e) three million four hundred and fifty-seven thousand six
hundred and twenty-two
1.3
(a)
15
(b)
10
(c)
12
(d) 19
1.4
(a)
2 × 7 = 14
(b)
7 × 3 = 21
(c)
8 + 3 = 11
(d) 2 + 15 = 17
1.5
(a)
–14
(b)
–18
(c)
10
(d) 54
1.6
(a)
1
(b)
1
(c)
(b)
1
1
2
–4
–4
(c)
4
1.7
(a)
–4
1.8
(a)
60
(b)
300
(c)
90
1.9
(a)
720
(b)
490
(c)
1500
1.10
(a)
1
(b)
(c)
1.11
(a)
3
7
(b)
1.12
(a)
1.13
(a)
1.14
(a)
1
8
1
–4
1
6
1
2
1
(b)
(b)
4
112
1
(c)
(c)
(c)
3
20
0
5
16
1
(b)
�
(c)
4
(b)
8
(c)
�
1
(c)
1
(a)
1.16
(a)
1.17
(a)
1
(b)
1.18
(a)
2
0.5
1.19
(a)
1.20
111
16
3
4
2
1.15
5
20
1
(b)
�
113
�
3
(c)
1
(b)
40
0.375
(c)
0.416
0.625
(b)
0.583
(c)
0.45
(a)
10
(b)
6.1
(c)
4.19
1.21
(a)
0.546
(b)
2.601
(c)
6.9265
1.22
(a)
3.2
(b)
0.32
(c)
0.125
1.23
(a)
8.4665
(b)
14.45
(c)
0.39
1.24
(a)
4
(b)
5
(c)
1020
1.25
(a)
3.82
(b)
386.25
(c)
5.4
1.26
(a)
512
(b)
9
(c)
1.27
(a)
1
(b)
1
1
(c)
32
64
8
5
1
4
Introductory Mathematics and Statistics 6e, John S Croucher, © 2013 McGraw-Hill Education (Australia) Pty Ltd
Solutions Manual, Chapter 1
3
1.28
(a)
16
(b)
3
(c)
1.29
(a)
4
(b)
27
(c)
1.30
(a)
24
(b)
4
(c)
1.31
1
1.32
1
25
4
1
1.33
(a)
fraction uneaten = 4
– 45
(b)
116
1.34
(a)
0.375 litres
(b)
0.015625 litres
1.35
(a)
1.36
(c) 3 litres
(a)
114 cups of oats and 334 cups of water(b)
2.387 × 10
(b)
3.59 × 10–1
(c)
4.6 × 10–4
1.37
(a)
6.8 × 10–2
(b)
6.4 × 10–3
(c)
3.5648 × 103
1.38
(a)
0.7520
(b)
1.6830
(c)
0.5514 – 1
1.39
(a)
2.3747
(b)
1.5378
(c)
0.6542 – 2
1.40
(a)
19.4816
(b)
13.9919
(c)
1.513
1.41
(a)
903
(b)
3771
(c)
–24
1.42
(a)
32
(b)
–19
(c)
–333
1.43
(a)
84
(b)
–30
(c)
35
1.44
(a)
–66
(b)
–42
(c)
–86
1.45
(a)
360
(b)
720
(c)
180
1.46
(a)
9360
(b)
126
(c)
1344
1.47
(a)
80
(b)
0.0324
1.48
(a)
(b)
5
(c)
4
3
1
(c)
20√5 = 34.2
1.49
(a)
4.56 × 10–2
(b)
4
6.7 × 10–5
(c)
3.4589 × 10 2
1.50
(a)
2.56987 × 10–2 (b)
1.00005
(c)
1.71717 × 10 1
1.51
(i) 1.4406
(ii) –0.2464
(iii) 0.8445
1.52
(a)
6.0967
(b)
0.00797
(c)
–5.116
1.53
(a)
5 bottles
(b)
13 bottles
(c)
15 bottles
1.54
(a)
$(72 × 15) + (72 × 20) = $2520
(b)
$(25 × 15) + (32 × 20) = $1015
(c)
$(49 × 15) + (48 × 20) = $1695
1.55
(a)
120 m3
280 m3
(c)
560 m3
1.56
(a)
$(3 × 40) + (2 × 55) = $230
(b)
$(5 × 40) + (6 × 55) = $530
(c)
$(10 × 40) + (12 × 55) = $1,060
3
(b)
20 cups
3
Introductory Mathematics and Statistics 6e, John S Croucher, © 2013 McGraw-Hill Education (Australia) Pty Ltd
Solutions Manual, Chapter 1
4
1.57
(a)
(5 × 8) + (7 × 20) = 180 minutes
(c)
(9 × 20) = 180 minutes
1.58
(a)
$225
1.59
total wash time = 120 minutes
1.60
(a)
6
(a)
9600
10
(b)
(b)
$280
12
(8 × 8) + (8 × 20) = 224 minutes
(c)
$225
(c)
18
= 960 minutes = 16 hours
(b)
9600
(c)
8 hours (Sid is the slowest)
12
(b)
= 800 minutes = 13 hours 20 minutes
(d) 8 hours + 6 hours 40 minutes = 14 hours 40 minutes
(e) 3 hours +
7800
minutes = 13 hours 50 minutes
12
1.61
(a)
7 h 17 min
(b)
1.62
Mary receives
$220 000
= $27 500
Sarah receives
$220 000
= $44 000
8
5
$210.83
Joan receives $220 000 – $27 500 – $44 000 = $148 500
1.63
(a)
90
(b)
4 × 15 = 60
(c)
5 × 5 × 5 = 125
1.64
(a)
3.571
(b)
0.178
(c)
3.802
1.65
(a)
0.750
(b)
0.514
(c)
6.900
1.66
(a)
16.887
(b)
9.217
(c)
1.258
1.67
(2 × 12) + 5 = 29 years
1.68
LCM = 3 × 22 × 52 × 112 = 36 300
1.69
(a)
1.68574
(b)
0.20412
(c)
–0.23657
1.70
(a)
0.797
(b)
951.815
(c)
1.658
1.71
(a)
983
(b)
2.3048
(c)
–25
1.72
(a)
8
(c)
81
1.73
7
(b)
(a)
72
2
(b)
11
–2
(c)1
5
1.74
(a)
39.92
(b)
45.37
(c)
2.32
1.75
Bob takes 18 minutes to eat one pizza. Total time to eat 1.5 pizzas = 27 minutes.
1.76
Telephone: 1.6 hours
Answering counter enquiries: 2.33 hours
Paperwork: 20.07 hours
1.77
1.58 m
Introductory Mathematics and Statistics 6e, John S Croucher, © 2013 McGraw-Hill Education (Australia) Pty Ltd
Solutions Manual, Chapter 1
5
6
1.78
5.237 356 × 10
1.79
log (5/3) + log 9 – log 5 – log 3 = log 5 – log 3 + 2log 3 – log 5 – log 3 = 0
1.80
4.671
Introductory Mathematics and Statistics 6e, John S Croucher, © 2013 McGraw-Hill Education (Australia) Pty Ltd
Solutions Manual, Chapter 1
6