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Mathematics for the trades a guided approach 10th edition carman solutions manual
Mathematics for the Trades A Guided Approach 10th Edition Carman Solutions Manual Full clear download( no error formatting) at: rushbrookrathbone.co.uk Mathematics for the Trades A Guided Approach 10th Edition Carman Test Bank Full clear download( no error formatting) at: rushbrookrathbone.co.uk
Solutions to Odd-Numbered Problems
CHAPTER 1 ARITHMETIC OF WHOLE NUMBERS Preview 1 1.
(a) (b)
Two hundred fifty thousand, three hundred seventy-four 1,,
3.
(a)
67 + 58 =
5.
(a)
64 × 37
7.
= lb finished weight
9.
(a) (b) (c) (d)
6 + 9 × 3 = 6 + 27 = 33 35 14 ÷ 7 = 35 2 = 33 56 ÷ 4 × 2 + 9 4 = 14 × 2 + 9 4 = 28 + 9 4 = 33 (23 7) × 24 ÷ (12 4) = 16 × 24 ÷ 8 = ÷ 8 = 48
(b) (b)
+ = × or 74,
(c)
× or ,
Exercises Reading, Writing, Rounding, and Adding Whole Numbers. A. 1.
Three hundred fifty-seven
3.
Seventeen thousand, ninety-two
5.
Two million, thirty-four
7.
Seven hundred forty thousand, one hundred six
9.
One hundred eighteen million, one hundred eighty thousand, eighteen
11,
4,,
,
B. 1.
70
3.
80
5.
7.
9.
11,
25,
11,
,
,
4
Mathematics for the Trades
Chapter 1 Arithmetic of Whole Numbers
C. 1.
3.
9.
1,,
D. 1.
7.
9.
ft 76 + ft
(a)
+ watts
+ bricks
5.
64
55
3.
84 98 + screws
5.
78 96 + minutes
(b)
+ watts
(c)
+ watts
$ + 79 $
74 + grams
+ W
(a)
(b)
+ points
+ points
7.
49 + ohms
(c)
+ points
4
5
Mathematics for the Trades
Chapter 1 Arithmetic of Whole Numbers
5
E. 1.
+ kHz or 97, kHz
3.
(a) $, (a)
5.
(b) $,
(c) $2,, (b)
Total feet of each kind 11, ft of #12 BHD ft of #TX 12, ft of AAC ft of ACSR ft of 6B
(d) $
Total feet installed at each location ft at A3 ft at A4 ft at B1 ft at B5 ft at B6 ft at C4 ft at C5
Exercises Subtraction of Whole Numbers A. 1.
6
3.
2
5.
4
7.
3
9.
3
8
9
9
3
8
7
7
0
8
6
6
5
4
1.
13
3.
12
5.
15
7.
38
9.
46
25
12,
47,
B.
C. 1.
$ 27 $
7.
The 4 drums contain 72 + 45 + 39 + 86 = liters 3 drums contain 97 + + 74 = liters The total volume of the 3 drums is greater by ( ) = 44 liters. 64 gal impressions
9.
ohms or 13, ohms
3.
ft ft
5.
âˆ&#x;
$ $ or $,
Hertz or , Hertz
6
Mathematics for the Trades
Chapter 1 Arithmetic of Whole Numbers
HCF Hyundai Sonata: $ + $ $ or 23,
Sonata Hybrid: $ + $ $ or $23,
Therefore, the Sonata costs less than the Sonata Hybrid by $
D. 1.
3.
5.
6
Total mileage of each #1 60, 58, = #2 43, 42, = #3 78, 76, = #4 41, 40, = #5 10, 08, = #6 35, 35, = #7 80, 79, = #8 40, 39, = #9 11, 10, = #10 73, 71, = Total mileage of all = or 12, $ $ or 24, (a)
Balance A = $
(b) − + + + − − − − −
= = = = = = = = =
$
Exercises Multiplication of Whole Numbers A. 1.
42
3.
48
5.
63
7.
54
9.
45
7
Mathematics for the Trades
Chapter 1 Arithmetic of Whole Numbers
7
B. 1.
× or 37, × 9
× 37 or ,
3.
× 50 or 25,
or ,
7.
or 3,,
5.
×
×
× 45 or 30,
9.
32 or 10,
or , ×
×
× or 89,
C. 1.
$
5.
50 × 18 50
7.
75 × 40 $
3.
× 16
11
×
27 2 54 × 45 parts
×
60 24 min
16 screws or 23, screws
×
25 ohms or 21, ohms, No
×
+ = total envelopes
60 × 4 × 5 bolts
9.
×
65 × 20 ft
bu or 37, bu
×
× 9 cards
23 × 5 in. (or 9 ft 7 in.)
×
96 5 A
8
Mathematics for the Trades
× mL or 88, mL 60 gal/hr or 15, gal/hr
×
Chapter 1 Arithmetic of Whole Numbers
×
$ 16 × 40 00 64 $
$ ×
52 $ or $33,
2 gal or 30, gal
D. 1.
$ × = $, $1,, , = $,
3.
(a)
,, ,, ,,
(b)
, , ,
(c)
1 12, 1,, ,,
(d)
42 , 44,, 4,,,
5.
8 hours/day × 5 days/week = 40 hours/week Alpha × $ 6 × 40 = $ 28, Beta 67 × $17 × 40 = $ 45, Gamma 29 × $32 × 40 = $ 37, Delta 37 × $49 × 40 = $ 72, Tau 18 × $78 × 40 = $ 56,
Exercises Division of Whole Numbers A. 1.
9 7 63 63
3.
Not defined
5.
10 r1 7 71 7 01 0 1
7.
8 4 32 32
8
9
Mathematics for the Trades
9.
6 9 54 54
37 6 18 42 42 22 31 62 62 62
Chapter 1 Arithmetic of Whole Numbers
23 r6 7 14 27 21 6 23 14 28 42 42
51 r4 6 30 10 6 4 39 24 72
9
21 7 14 07 7
9 r1 81 1
8 r35 42 35
B. 1.
61
3.
61
9.
r5 14 42 70 5
15 30
r11 0 11
56 r8 16
5.
80 96 8
53 53 53 r4 24 24 4
17 r
96 21
7.
r2 9
18 20 18 20 18 2
7 35 7
6 36 24
38
r98 98
10
Mathematics for the Trades
Chapter 1 Arithmetic of Whole Numbers
C. 1.
(a)
1, 2, 3, 6
(b)
6=2×3
3.
(a)
1, 19
(b)
prime
5.
(a)
1, 2, 4, 5, 8, 10, 20, 40
(b)
40 = 2 × 2 × 2 × 5
D. 1.
7.
27 in. 9 18 63 63
7 in. 18
48 boxes 10 40 80 80
13 hr 85 85
3.
9.
$ $
27 reams
months 30 60 90 90 0 0
19 12 12 2 19 years, 2 months
minutes 0 0
4 60 10 4 hr, 10 min
5.
27 1 28 joists 16 32
$72 per hour 18 36 36
6 loops 3 18
10
11
Mathematics for the Trades
Chapter 1 Arithmetic of Whole Numbers
E. 1.
(a)
× ÷ 3 = 21,,
(b)
( + + ) ÷ =
(c)
( + + 48) ÷ 48 = 93
(d)
× ÷ = 27,
3.
÷ = or 20 rivets to be sure
5.
÷ 96 = min ÷ 60 = or 51 hr 40 min 42 hours
7.
Exercises Order of Operations A. 1.
2 + 8 × 6 = 2 + 48 = 50
3.
40 20 ÷ 5 = 40 4 = 36
5.
16 × 3 + 9 = 48 + 9 = 57
7.
48 ÷ 8 2 = 6 2 = 4
9.
(5 + 9) × 3 = 14 × 3 = 42
24 ÷ (6 2) = 24 ÷ 4 = 6
16 + 5 × (3 + 6) = 16 + 5 × 9 = 16 + 45 = 61
(23 + 5) × (12 8) = 28 × 4 =
6 + 4 × 7 3 = 6 + 28 3 = 34 3 = 31
5 × 8 + 6 ÷ 6 12 × 2 = 40 + 1 24 = 41 24 = 17
2 × (6 + 4 × 9) = 2 × (6 + 36) = 2 × 42 = 84
(4 × 3 + 8) ÷ 5 = (12 + 8) ÷ 5 = 20 ÷ 5 = 4
8 4+2=4+2=6 12 7 3 53 2
36 27 4 9 13 9 3
6 12 4 6 48 54 =6 15 3 2 15 6 9
18 × 10 ÷ 5 = ÷ 5 = 36 12 (7 3) 12 4 8
44 12 56 =7 11 3 8
11
12
Mathematics for the Trades
12 6 24 36
66 6
18
Chapter 1 Arithmetic of Whole Numbers
41
2 41
61
5
9
B. 1.
3 × $34 + 5 × $39 = $ + $ = $
3.
12 × $25 3 × $6 = $ $18 = $
5.
Cost
7.
33 × $80 + 12 × $40 + 45 × $18 = $ + $ + $ = $
9.
China: 51 × 5 + 21 × 3 + 28 × 1 = + 63 28 = points U.S.: 36 × 5 + 38 ×3 + 36 × 1 = + + 36 = points China “won.” 6 gal 8 gal 30 22 0 0
= 2 × $12 × 40 + 3 × $20 × 40 + $ + $ = $ + $ + $ + $ = $
C. 1.
+ 83 × 95 = + =
3.
÷ 12 = 96 =
5.
( + ) ÷ = ÷ = 5
7.
+ 86 × 9 ÷ 38 = + 27 =
9.
16 × (72 + 46) = 16 × = =
÷ 16 × 27 = 54 × 27 =
( + 18 × 48) × 12 = ( + ) × 12 = × 12 = 13,
( + ) ÷ (48 × 16 ) = 63
8 gal + 6 gal = 14 gal
12
13
Mathematics for the Trades
Chapter 1 Arithmetic of Whole Numbers
13
Problem Set 1 A. 1.
Five hundred ninety-three
3.
Forty-five thousand, two hundred six
5.
Two million, four hundred three thousand, five hundred sixty
7.
Ten thousand twenty
9.
,
64,
18,
,
B. 1.
24 + 69 93
3.
+ 72
× 4
37 7 21 49 49 36 91 13 42
5.
67 × 21 67
=
7.
57 42
43 28 15
9.
× 63 or 13, 9
40 ÷ 8 =
36 91 36
42 × 13 42
×
5 =
3×4
15 ÷ 3 = 12
85
5=7
5, 44 or ,
×
6
+
18 73 73
14
Mathematics for the Trades
Chapter 1 Arithmetic of Whole Numbers
14
C. 1.
(a)
1, 2, 4, 8,
(b)
8=2 2 2
3.
(a)
1, 31
(b)
prime
5.
(a)
1, 2, 3, 4, 6, 9, 12, 18, 36
(b)
36 = 2 2 3 3
D. 1.
6 ft + 8 ft + 20 ft + 9 ft = 43 ft
3.
+ + 4 × + 2 96 + + = sq ft 6 7. 35
5.
9.
lb average 7 14 49
$ + 12 $ = $ + $ = $
− 29 psi, Yes gal per hour 4 12 36 36
× 17 = lb
$ × 12 $
gal per min 60
3 × 32 = 24 hours 4 Note: 45 min =
3 hr 4
× or 87, cu in.
15
Mathematics for the Trades
Chapter 1 Arithmetic of Whole Numbers
or 46, in 4 hr
rph 4
rpm 60 60
18 6 12 12 ÷ 2 = 6 ft from each wall
$85 × 36 + $ = $ + $ = $ $ − $ = $
Cost = $20 $3 + 30 $4 + (87 50) $5 = 20 $3 + 30 $4 + 37 $5 = $60 + $ + $ = $
(a) (b)
× 13 calories
95 ÷ 19 + ÷ 25 = 5 + 12 = 17 gal 17 $4 = $68
Hybrid $ + $ $ or $13,
The 3-year cost of the hybrid is lower by $ 24 bushels
15
32 64 0
Non-Hybrid $ + $ $ or $14,
$ $
CHAPTER 2 FRACTIONS Preview 2 1.
31
(a)
4
3.
7 3 4 31 7 28 3
(b)
3
4
7 8 3 7 24 7 31 8
8
8
8
(c)
5 4 20 16 4 64
(d)
1 4
3 7 7 8 56 , 4 4 8 32
(e)
5 10 5 64 32 32
(f)
1 8
7 15 45 5 40 7 , ;1 is larger 8 24 3 24 8
(a)
7 3 10 5 16 16 16
(b)
3 3 19 12 31 15 1 1 16 4 16 16 16 16
(c)
3 1 15 4 11 4 5 20 20
8
(d)
20
41
5 64 21 43 11 2 16 16 16 16
16
Exercises Working with Fractions A. 1.
2
1 7 3 3
3.
8
3 67 8 8
7.
2
2 8 3 3
9.
4
5 29 6 6
1.
17 1 8 2 2
3.
11 3 1 8 8
7.
4 2 16 16 6 6 3
9.
80 16 1 2 2 32 32 2
7 23 8 8
5.
2
5.
3 1 1 2 2
B.
C. 1.
12 3 16 4
3.
6 3 16 8
5.
4 2 10 5
7.
24 4 30 5
18
9.
Chapter 2 Fractions
Mathematics for the Trades
3 1 4 12 4
4
42 21 64 32
15 5 36 12
38 19 24 12
5.
1
D. 1.
7 14 8 16
7.
3
3 18 36 5 5 10
3.
1 8 8 64
9.
1
40 2 5 1 60 3 3
E. 1. 3.
3 21 4 20 3 , ; is larger 5 35 7 35 5 1 7 3 6 1 1 1 , 1 1 ;1 is larger 2 14 7 14 2
5.
7 21 5 20 7 , ; is larger 8 24, 6 24 8
7.
1
9.
13 26 5 25 13 , ; is larger 5 10 2 10 5
3 9 5 10 5 , ; is larger 8 24 12 24 12
2 7 28 6 30 6 , ; is larger 5 5 20 4 20 4
F. 1.
3.
5.
15
6 3 15 in. 8 4
22 34, 19 34, 47 34, 25 34, , , , 7 10, 6 10, 15 10, 8 10, 25 41 34, 19 is largest approximation; is smallest approximation. ; 8 13 10, 6
7 8
in.
28 32
in.; it is not possible to have an inner diameter of
29
in.
1 5 20 4 4 16
2 8
5 21 42 8 16
18
19
Chapter 2 Fractions
Mathematics for the Trades
7.
32
9 3 15 6 9, 15 5 will remain
19
20
Chapter 2 Fractions
Mathematics for the Trades
12 1 fertilizer in final mixture 60 5
9.
3 24 11 22 = = 4 32 16 32 23 Try in. 32
Exercises Multiplication of Fractions A. 1 1 1 2 4 8
1.
3.
2 4 1 ď€ 5 6 3
2 15
5.
1
7.
2 8 5 3 12 3
10 1 1 9 9
3 1 1 2 9 2 4 3 2 3 2 3 1 1
3
9.
4 5
5 1
15 69
1 6 7 83 7 83 3 11 10 7 8 7 8 8 1
1 4 2
1 1 2 2 3 5
8
5 2 2
3
2 34
17
1
34 2
1 1 1 1 2 2 2
1 1 ď€ 15
5 15 9 3
1 2
1 1 1 13 3 13 1 2 1 3 6 2 6 2 4 4 2
3
23 15
4 12 8 2
8
37 17 1
74
8 1 8 3 2 9 3 3
2 3
20
21
Mathematics for the Trades 1 1 2 3 3 2 1 1
2 2
Chapter 2 Fractions
21
22
Chapter 2 Fractions
Mathematics for the Trades
B. 1 1 1 2 3 6
1.
1 1 1 3 3 5. 1 2 2 2 2
4
1 1 4 3 9. 1 3 4 1 1
3
7
6 16 8
21
5
2 8
8
5
19
3.
1 2 3 1
1 3 ď€ 4 2
7.
5 1 2 8 10
7 8
3 1 7 6 1 5 8 5 4
3
2
1 2
2
1 5 21 21 1 8 10 16 2 21 1 20
1 1 3 8
8
3
1 8 3 1 1
5
7
35
C.
1.
38 3
8
1 5.
7.
9.
28
4
6
38
29 8 4
4
3 6 4 2 2
3 in.
3.
4
1 in., or 14 ft 1 2
12 3
28
11 3
1 in .
2
1 3 91 14 1 22 14 mi 4 4 1 2 2 2 31 1 2 93 23 1 46 7 lb 2 3 2 3 2 2 1 1 9 18Ă&#x; = in. 20 10
13 3 26 8 4
39 9 4
3 in. 4
2 ft
3
5 16
1 20
22
23
Chapter 2 Fractions
Mathematics for the Trades
1 32
3
45 6 4
3 15 6 4 2
1
12 2
11 4
13
1
26
4
5
45 22 2
3 3 12 8
13
1
3 4
4
8 4
8
2
10 hr 3 3
3 4
63
27 1, 3 3 45 min 4 4 4 4
32
64
6 3
45
3
4
4
5
4 1
5
1
3
5
3
15
2 2 16
2
16
in. 32
9 33 27 4 4 8 1
1 8
in.
1.
1 2 5 1 1 3
2 3
1
5.
6 16
3 4
2 1 6 4 ď€ 16 3
2 1 37 12 6 12 74 pairs 6 6 1 1
3.
5 12
1 4 5 3 5 ď€ 3 12 4 16 4
4 2 1 2
5
8
1 37 2 37 1 2 9 pounds 8 1 4 4 4
5 6 3
5
in.
A. 1 2
2
1 31
Exercises Division of Fractions
5 6
5
27
1 picas 2
1 1 31 1 31 7 15 3 in. 2 4 2 4 8 8
6
1 27 4
1
in.
23
24
Mathematics for the Trades
7.
3 16
6 8
1 3 ď€ 16 2
1 8 6 2
1 4
Chapter 2 Fractions
24
25
Chapter 2 Fractions
Mathematics for the Trades
3 9.
1
1 1 3 1 3 6 9 2 6 2 6 2 1
1
2 2 1 32 16 32 3 6 1 6 5 1 5 3 5 3 5 16 5 1
2 12 3
5 16
6 12
3 8
1 8 3
8 2
5
1
8
2
3 18 2 1
5 16 2
2 2 1 5 22 33 22 14 4 1 3 2 1 7 14 7 14 7 33 3 1 3
5 6
5
7 23
2
16 1
3
5 3
2
3 4
3
7
15
1
2
2
7 7 1 32 4
1 1 7 4 32 7 8 1
1 8
B. 1
4
5.
4
7.
9 2 1 5 21 8 47 2 = 18 courses of brick 4 8 4 8 4 21 1 1
2
1 2
4
2
1.
42
1 9.
40 6
4
8 ft 1
2 1
3.
4
5 8
= 84 pieces
25 40 4
8 40
4 25 5
32 6 5
2 5
1 3 1 99 7 99 2 99 1 24 3 7 ; 4 2 4 2 4 7 14 14 2
= 6 × 35 = pieces
7 full sheets can be cut
6 37 8 = 48 boards 8 37 1
25
26
Chapter 2 Fractions
Mathematics for the Trades
9 1 1 5 18 2 = 45 threads 2 18 2 1 1
71
1 2
3
sq ft ÷
=
8
4
8 × sq ft = sq ft 2
3
1 1 1 1 7 1 7 7 7 2 1 ÷ 3 = ÷ = × = in. per year 16 2 16 2 16 7 8 8 1 3 2 1 3 9 16 1 ÷ = × = 6 washers 8 16 8 3 1 1
Exercises Addition and Subtraction of Fractions A. 1.
1 3 4 1 16 16 16
5.
3 1 2 1 4 4 4
9.
5 3 7 15 16 16 16 16
1 1 1 2 3 4 2 4 4
4
5 1 15 2 17 8 12 24 24
24
1 3 4 3 1 2 8 8 8
8
15 1 15 8 7 16 2 16 16
16
3 1 24 5 29 5 8 40 40
7 2 35 16 19 8 5 40 40
40
1 1 1 4 2 1 6 1 5 2 4 8 8 8 8 8
4
2
40
8
8
3.
5 7 12 3 16 16 16
7.
3 1 2 5 5 5
8
1
4
7 3 15 3 12 4 1 1 1 8 8 8 8 8
2
26
27
Chapter 2 Fractions
Mathematics for the Trades 4 1 1
1
3
1
6
1
7
1 3 2
4
2
4
4
4
4
27
28
2 2
Chapter 2 Fractions
Mathematics for the Trades
1 5 5 13 20 13 33 1 1 4 8 2 8 8 8 8
1 1 7 6 35 18 53 8 3 3 5 3 5 15 15 15
8 3
2
4
8
15
1 3 33 7 33 14 19 3 1 2 4 8 4 8 8 8
8
1 1 16 25 67 7 2 1 5 12 5 12 60 60 60
60
B. 1.
8 7 64 23 41 1 2 5 1 8 8 8 8
3.
3
5.
1 1 1 4 2 1 7 2 4 8 8 8
7. 9.
8
5 13 29 13 58 13 45 13 2 8 16 8 16 16 16 16
8
16
8
7 5 5 7 20 10 27 10 17 1 2 8 2 4 8 8 8 8 8 8 8 7 3 39 35 78 35 43 11 4 2 2 8 16 8 16 16 16 16 16
2
6
1 3 13 13 65 26 39 9 2 3 5 2 5 10 10 10
10
C. 1.
3. 5.
2 5 46 4 10 5 72 1 5 3 1 1 5 + + + in. = in. = 9 in. + + 5 + + 1 + in. = + + 8 8 8 8 8 8 8 4 8 4 2 4 8 3 3 11 6 5 46 - 34 in. = 45 - 34 in. = 11 in. 8 4 8 8 8 5 2 21 4 25 9 1 1 in. 16 8 16 16 16 16 1 3 1 3 2 3 1 3 9 1 5 3 4 5 6 5 3 4 5 23 25 2 4 4 4 4 4 4 4
7.
6
9.
1 6 3 6 24 6 18 2 1 1 - = - = - = = 1 = 1 in. 2 16 2 16 16 16 16 16 8
4
4
c.i.
28
29
Chapter 2 Fractions
Mathematics for the Trades
5
3
8
1
8
5
18
9
4 1
8
1
9
6
2
5 1
5
6
4
8
6
9
10 8
7
in. =
Finished size is 7
in.
in. =
37
in.
8 8 3 1 1 6 6 in. 4 4 2
21 2
5
23
5
in.
3
in.=
16 16 45 in. remain 16 16 16
in.
8
3 1 in. × 6 in. 4 2
15 3 15 6 9 2 2 2 in. 16 8 16 16 16
2
5 7 40 7 33 4 in. - in. = 4 in. in. = 4 in. 8 64 64 64 64
5
1
qt - 4
1
qt =
4
21
16 8 2 16 16 16 16 16 16 7 2 10 4 7 2 10 13 6 18 9 6 18 15 16 16 4 16 16 16 16 16 16
4 8 4 8 1 1 33 2 31 3 8 7 in.; 4 2 4 4 4 4
2
21 9 21 18 3 - = = qt
2 4 2 1 27 13 14 2 94 4 3 3 3 3
4 3
4
4
cu yd remaining in the truck
Problem Set 2 A. 1.
1
1 9 8 8
3.
1
7.
1
5 13 8 8
9.
10 2 1 2 2 4 4 2
25 9 1 16 16
3
12
2 5 3 3
35 3 8 4 4
3 99 32 32
5.
3
25 1 8 3 3
3 6 3 32 16 16
1
3
32 8
8
5
1
29
30
Chapter 2 Fractions
Mathematics for the Trades 30 6 6
1 1 6
1 4 2 0
5
3 9 4 12
2 4
3 11 44 4 16
5 3
2 17 68 3 12
30
31
Chapter 2 Fractions
Mathematics for the Trades
1 4
1 5 15 4 12
13 7 14 7 is larger , ; 16 8 16 8
7 3 12 7 1 ,1 1 ; is larger 16 4 16 4
7 2 32 7 , ; is larger 16 15 16
13 65 3 96 3 , ; is larger 32 5 5
B. 1.
1 3 3 2 16 32
7 3. 16 4
5.
1 1 5 3 5 5 1 1 1 2 6 2 6 4 2
1 3 7. 16
5
3 9.
4 2
10
1
7 2
2
4 8
3
2
1 4 8 32 1 1
1
5
7 1 7 2 5 10
2 3 1 11 9 11 8 22 4 2 1 2 4 8 4 8 4 9 9
7 12
5 12 4
5 64
9
1
1 2 3 8 35 35 2 2 4 11 3 8 3 8 3 3 1
15
4
1 4 3
9
18 1
1 2
2 3
18
2
1 4
3
1 2 1
2 1
27
2 4 2 1
1 2 1 1 4 3 4 6 2
31
32
Mathematics for the Trades 1
Chapter 2 Fractions
32
33
Chapter 2 Fractions
Mathematics for the Trades
C. 1.
3 7 10 2 1 1 1 8 8 8 8
5.
3 5 18 25 43 13 1 5 6 30 30 30
9.
11 1 11 4 7 16 4 16 16
8
61
3
2
30
16
1 1 17 5 17 10 27 3 1 3 4 8 4 8 8 8
1 6 3 12 3 9 1 4 2 1 2 2 2 2 3
3
3.
3 1 3 4 7 32 8 32 32
7.
9 3 6 3 16 16 16
7 3 35 12 23 8 10 40 40
8
2
2 7 11 15 88 45 43 19 1 1 8 3 8 24 24 24 24
1 1 1 15 2 3 5 1 1 7 3 2 2 3 21
4
2 5
10 6 31 1 1 30 30 30 30 7 21 14 7 1 1 2 3 6 6 6
8 10 8 2 5 5
5
30 6
5
D. 7 1 3 47 17 91 47 68 1 8 22 37 8 2 4 8 2 4 8 8 8
1.
5
3.
Shortest: 22
3 1 8
in. = 22
16
6 1 16
= 22 16
5
8
8
in.
in. 16
3 1 6 1 7 Longest: 22 + in. = 22 + in. = 22 in. 8 5.
7. 9.
16
7 3 28 3 25 1 1 1 1 8 32 32 32
16
32
16
16
in. difference
1 1 69 15 69 2 69 9 3 7 4 4 cu ft 2 2 2 2 2 15 15 15 5 1 3 13 1 7 4 6 13 8 14 8 17 9 25 31 8 17 9 25 31 4 8 16 2 8 16 16 16 16 34
16
32
8
40
33
34
Chapter 2 Fractions
Mathematics for the Trades 45 13 13 90 90 2 92 in. 16 16 16
34
35
Chapter 2 Fractions
Mathematics for the Trades
3 3 12 3 15 4 16 16 16
Radius #1 =
28 8
4
1 4
5
1 2
in.
16
1 3 1 35 35 2 2 16 2 16 32 1 1 1 9 9 18 Radius #2 = 1 2 8 2 8 16 32 23 18 35 53 3 4 4 32 32 32 32 32 32 in. 1 1 1 1 7 33 28 13 13 in. 4 2 4 2 2 2 1 1 2 1 1 17 1 17 2 4 2 2 2 8 8 8 8 8 2 16 1 1 in. margin on each side width-wise 16 1 4 1 3 11 1 4 5 4 1 2 8 8 8 8 8 2 11 = in. margin on each side length-wise 16 1
27
46 2 2
7
1
1
46 4 4
1
in. ÷ 18 rev
1 83 1 83 3 in. 8 5 in. 2 2 2 8 16
×
1 in.
min 16
2 =
41
rev
15 9 in. 15 8 min 60 2 in. ÷ = in. × = min = 6 min 2 8 min 2 9 in. 9 3
5 5 1 in. = in. = 2 in. 8 2 2
4×
1 3 3 3 9 1 × in. = × = in. 2
16
2
16
32
3 15 = 60 × = tablets 4 4
60 × 3
3 3 3 6 9 1 1 8 4 8 8 8
8
in.
The 1-in. screw is the longest one less than this.
16
35
36
Chapter 2 Fractions
Mathematics for the Trades
(a)
1
10
4
8
1
22
2
2
2 15 3
1 ď€ 3
3 6 8 2 46 8 22 12 12 12 1 92 ď€ 12 12 12 3 ď€ 12 12 12 12 1 72 ft 12 12
10
(b)
36
3
12 sq ft 1 12
(c)
$6 $ 3 3 35 12 8 12 pairs of shorts 4 4 1 1
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