solutions even-numbered problems · solutions to even-numbered problems from
TRANSCRIPT
Solutions to Even-Numbered Problems
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
222 Mathematics for the Trades
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Copyright © 2015 Pearson Education, Inc. 223
CHAPTER 1 ARITHMETIC OF WHOLE NUMBERS Preview 1 2. (a) 210,000 (b) 214,700 4. (a) 82 45 37 (b) 4035 1967 2068 (c) 14 31 59 67 22 37 19 77
6. (a) 334 R2
6 200618
20 18 26 24 2
(b) 203
37 751174 111111
8. (a) 1, 2, 3, 4, 6 and 12 (b) 12 12 2 2 3 2 6 2 3
Exercises 1-1 Reading, Writing, Rounding, and Adding Whole Numbers A. 2. Two thousand, three hundred four 4. Two hundred seven thousand, six hundred thirty 6. Ten thousand, seven 8. Five million, fifty-five thousand, five hundred fifty 10. Six thousand, seven hundred nine 12. 17,024 14. 3,002,017 16. 720,000,010 18. 4400 20. 15,000 22. 226,000 B. 2. 65 4. 103 6. 124 8. 136 10. 1,003 12. 831 14. 806 16. 5,525
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
224 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
18. 9302 20. 15,715 22. 47,111 24. 14,711 26. 156,021 28. 2,077,373 C. 2. 5211 4. 6441 6. 16,275 8. 7655 10. 9851 12. 141 14. 148 16. 153,546 18. 3,333,314 D. 2. 3280 2650 2465 + 2970 11365 fbm or 11,365 fbm
4. $13860 3854 942 + 832 $19488 or $19,488
6. 1480 1240 1560 1320 + 1070 6670 shingles
8. 24 8 42 16 + 21 111 qt
10. 8 14 6 27 + 42 97 in.
12. 325 162 25 + 68 580 parts
14. 7 18 6 11 + 9 51 V
16. 8 8 150 6 120 + 8 300 fl oz
18. (a) $37395 1000 3100 950 + 2500 $ 44945 or $44,945
(b) $ 37395 700 3850 900 + 3100 $ 45945 or $45,945
(c) $ 37395 3100 2100 950 950 + 1900 $ 46395 or $46,395
E. 2. (a) Daily Totals Day 1. 1919 2. 2125 3. 1958 4. 1594 5. 2192 6. 1953 7. 1974 8. 1988 9. 1667 10. 1899
(b) Machine Totals A 4074 B 4462 C 2185 D 5665 E 2883
(c) Machine Totals 19,269 Daily Totals 19,269 The totals are equal.
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 1 Arithmetic of Whole Numbers 225
Copyright © 2015 Pearson Education, Inc.
4. (a) Total Expense $ 4260 2540 2100 948 815 750 + 187 $ 11600 or $11,600
(b) Total Monthly Income $ 1760 2650 + 3325 $ 7735
(c) SELL
Exercises 1-2 Subtraction of Whole Numbers A. 2. 7 4. 8 6. 9 8. 0 10. 3 12. 8 14. 9 16. 9 18. 6 20. 5 22. 18 24. 8 26. 5 28. 9 30. 8 32. 9 34. 7 36. 4 B. 2. 29 4. 19 6. 36 8. 29 10. 22 12. 38 14. 85 16. 254 18. 154 20. 715 22. 29 24. 5698 26. 56,042 28. 9614 30. 22,422 C. 2. 8000 − 5647 2353 sq ft
4. 26 cm 200 cm 47 − 171 38 29 cm remain 27 32 170 1 171 cm
6. $ 72 375 84 617 18 $1166 Total Withdrawals Original Balance $ 5820
1166
Remaining Balance $4654 8. (a) 9 in. (b) 4 in. (c) 4 in. (d) 5 in. 10. 14260 − 8420 5840 lb
12. Pipe A 54 22 = 32 in. Pipe B 66 34 = 32 in.
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
226 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
14. 9472 − 5786 3686
16. (a) 91625 − 53216 38409 or 38,409 miles
(b) 40000 − 38409 1591 miles
18. 2722 − 1451 1271 ft D. 2. Both sums are the same, (1,083,676,269) 4. $ 3,837,672 − 3,420,867 $ 416,805 6. $ 17,824 − 9,357 $ 8,467 cubic feet
Exercises 1-3 Multiplication of Whole Numbers A. 2. 56 4. 72 6. 87 8. 28 10. 84 12. 168 14. 423 16. 156 18. 564 20. 644 22. 1088 24. 153 26. 308 28. 1728 30. 7138 32. 1650 34. 928 36. 8930 B. 2. 2006 × 125 10030 4012 2006 250750 or 250,750
4. 809 × 47 5663 3236 38023 or 38,023
6. 708 × 58 5664 3540 41064 or 41,064
8. 2043 × 670 143010 12258 1368810 or 1,368,810
10. 563 × 107 3941 5630 60241 or 60,241
12. 609 × 7 4263
14. 542 × 600 325200 or 325,200
16. 407 × 22 814 814 8954
18. 514 × 62 1028 3084 31868 or 31,868
20. 560 × 203 1680 11200 113680 or 113,680
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 1 Arithmetic of Whole Numbers 227
Copyright © 2015 Pearson Education, Inc.
C. 2. 150 × 14 600 150 2100 ft
4. $ 859 × 17 6013 859 $ 14603 or $14,603
6. 25 × 9 225 in.
8. 12 × 11 12 12 132 in.
10. 4000 × 50 200000 or 200,000 ohms
12. 2 × 5 × 6 = 60 shifts 738000 × 60 44,280,000 pins in six weeks
14. 201 × 72 420 1470 15120 or 15,120 microamps
16. 78 × 3 234 V
18. 24 × 16 144 24 384 miles
20. 15 × 4 60 cubic feet (per minute, per person)
22. 23 × 4 92 bpm
24. 155 × 18 1240 155 2790 calories
26. 12 × 12 24 12 144
144 × 8 1152 pairs
D. 2. (a) 365 × $100 = $36,500 (not a leap year)
(b) 52 × $700 = $36,400 (c) 400 + 800 + 1,200 + 1,600 + 2,000 + 2,400 + 2,800 + 3,200 + 3,600 + 4,000 + 4,400 + 4,800 = $31,200
(d) 1 2 4 8 ... 16,777,216 33,554,432 67,108,863 cents
=$671,088.63
(e) gives most money 4. 2285 2570 395 20,565 + 12,850 + 1,185 = 34,600 lb × 9 × 5 × 3 20,565 lb 12,850 lb 1,185 lb 6. 4755 × 2800 13,314,000 Btu
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
228 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
Exercises 1-4 Division of Whole Numbers A.
2.
11 r48 92
8 12 84
4. 7 r2
5 37352
6. 1
6 66
8.
47 28
28
10. 35
7 24521
3535
12. 57
4 22820 2828
14.
11033 3310
3 03
3 010 9
1
r1 16.
527 364
35 14
14
18.
504 201
20 01
00 1
r1 20.
2019 382
38 02
02
r2 22.
2528 700
56 140
140
24.
5317 901
85 5151
26. 63
27 1724162 104 8123
r23
B.
2. 9
33 303297 6
r6 4.
9521 2001
189 111105
6
r6 6.
1427 1000
7 30 28
2014
6
r6 8.
3275 2400
225 150150
10. 84
71 6005568
325 284
41
r41
12.
30013 9003
9 0003 3
14.
80016 48009
48 0009 6
3
r3 16.
207203 62160
6 021 21 06 6
18.
5067 3354
335 04 0
4
r4
20.
200947 94425
94 0425 423
2
r2 22.
61231 14091
1386231231
24. 81
603 488434824
603603
26. 19
102 2004102
984 918
66
r66
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 1 Arithmetic of Whole Numbers 229
Copyright © 2015 Pearson Education, Inc.
C. 2. (a) 1, 2, 4, 8, 16 (b) 16 = 2 × 2 × 2 × 2 4. (a) 1, 3, 9, 27 (b) 27 = 3 × 3 × 3 6. (a) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 (b) 48 = 2 × 2 × 2 × 2 × 3 D.
2.
632 192
192
braces 4.
127 84
7 1414
in.
W = 12 in. H = 8 in.
87 56
56
in.
6.
2424 576
48 96
96
24 2 4848 2 50 rafters
8. 385 426 278 434 323 + 392 2,238
3736 2238
18 43 42
1818
hp
10.
954 486
486
2 11 hr 12.
13375 4875
375 11251125
cu ft
14. 36
500 180001500
30003000
days
16.
2752 1404
104 364364
patients 12.
1748 816
48 336336
bushels
E. 2. 14,000 100 $41 $5740 4. 9,108,734 74 123,091 lb 6. (a) 11,877,372 738 16,094 (b) 87,445,005 435 201,023 (c) 1,735,080 760 2283 (d) 206,703 579 357
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
230 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
Exercises 1-5 Order of Operations A. 2. 20 − 3 × 2 = 20 − 6 = 14 4. 16 + 32 ÷ 4 = 16 + 8 = 24 6. 2 × 9 − 4 = 18 − 4 = 14 8. 64 ÷ 16 + 8 = 4 + 8 = 12 10. (18 − 12) ÷ 6 = 6 ÷ 6 = 1 12. 9 × (8 + 3) = 9 × 11 = 99 14. 8 + 3 × (9 − 4) = 8 + 3(5) = 8 + 15 = 23 16. (17 − 9) ÷ (6 − 2) = 8 ÷ 4 = 2 18. 24 − 8 ÷ 2 + 6 = 24 − 4 + 6 = 26 20. 24 ÷ 8 − 14 − 7 + 8 × 6 = 3 − 2 + 48 = 49 22. 54 ÷ (8 − 3 × 2) = 54 ÷ (8 − 6) = 54 − 2 = 27 24. (26 ÷ 2 − 5) × 4 = (13 − 5) × 4 = 8 × 4 = 32 26. 24 ÷ 6 × 2 = 4 × 2 = 8 28. 22 + 11 − 7 = 33 − 7 = 26 30. 48 ÷ 6 ÷ 2 = 8 ÷ 2 = 4 32. 18 ÷ (3 × 2) = 18 ÷ 6 = 3
34. 36 27 9
9 6 3
= 3 36. 44 12
11 3 = 4 + 4 = 8
38. 36 (7 4) 36 3 33
5 3 2 5 6 11
= 3
40. 8 × 5 − 2 4 12
18 4 2
+ 72 ÷ 9 = 40 − 50
10 + 8 = 40 − 5 + 8 = 43
B. 2. $468 + 8 × $90 = $468 + $720 = $1,188 4. 520 − (48 × 5) + 300 = 520 − 240 + 300 = 580 6. 4 3 3 3 2 3 12 9 6 27 pounds 8. 200 6 200 10 80 $7 1200 2000 80 $7
3200 80 $7
40 $7 $280
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 1 Arithmetic of Whole Numbers 231
Copyright © 2015 Pearson Education, Inc.
10. (a) 20 $3 32 20 $4 20 $3 12 $4
$60 $48 $108
(b) 20 $3 30 $4 94 50 $5
20 $3 30 $4 44 $5
$60 $120 $220 $400
(c) 20 $3 30 $4 50 $5 121 100 $6
20 $3 30 $4 50 $5 21 $6
$60 $120 $250 $126 $556
C. 2. 425 ÷ 25 + 386 = 17 + 386 = 403 4. 1496 − 18 × 13 = 1496 − 234 = 1262 6. 2472 × (1169 − 763) = 2472 × 406 = 1,003,632 8. 12 × 38 + 46 × 19 − 1560 ÷ 24 = 456 + 874 − 65 = 1265 10. 273 + 25 × (362 + 147) = 273 + 25 × (509) = 273 + 12,725 = 12,998 12. 973 − (481 + 327) = 973 − 808 = 165 14. (27 × 18 − 66) ÷ 14 = 420 ÷ 14 = 30
16. 391 4984 1645
17 89 47 = 23 + 56 − 35 = 44
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
232 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
Problem Set 1 A. 2. Six thousand, seven hundred ten 4. One hundred thirty-seven thousand, five hundred eighty-nine 6. Nine hundred seventy thousand, one 8. One million, five hundred twenty-eight thousand, six hundred forty-three 10. 6327 12. 5,098,107 14. 852,000,000 16. 5500 18. 94,700 20. 710,000 B. 2. 38 + 45 83
4. 43 + 817 860
6. 2074 + 906 2980
8. 93 − 67 26
10. 315 − 119 196
12. 3401 − 786 2615
14. 489 × 7 3423
16. 45 × 82 90 360 3690
18. 314 × 926 1884 628 28 26 290764 or 290,764
20. 4018 × 392 8036 36162 12054 1575056 or 1,575,056
22.
2138 1704
16 108 2424
24.
6234 2108
204 6868
26.
43263 11309
1052 789789
28. 23 51 1173
6917 17
23 × 51 23 115 1173
6917 1173
102 153153
30. (18 + 5 × 9) ÷ 7 = (18 + 45) ÷ 7 = 63 ÷ 7 = 9 32. 32 ÷ 4 + 16 ÷ 2 × 4 = 8 + 8 × 4 = 8 + 32 = 40 34. 139 407 + 81 627
36. 194 271 + 368 833
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 1 Arithmetic of Whole Numbers 233
Copyright © 2015 Pearson Education, Inc.
C. 2. (a) 1, 2, 4, 7, 14, 28 (b) 28 = 2 × 2 × 7 4. (a) 1, 5, 7, 35 (b) 35 = 5 × 7 6. (a) 1, 2, 3, 6, 7, 14, 21, 42 (b) 42 = 2 × 3 × 7 D. 2. 14 23 8 + 19 64 rods
4. 2 7 12 168 tablets 6.
2490 2160
180 360360
hours
8. 234 × $5 $1170
10. 45 × 30 1350 mV
12. $ 55724 47162 + 62473 $ 165359 or $165,359
14. (a) 170 118 206 19 513 boards
(b) 170 × 10 = 1700 118 × 12 = 1416 206 × 8 = 1648 19 × 16 = 304 5068 ft
16. 17 × 3 + 212 = 15 + 212 = 263° 18. 3 × $45 + 3 × 3 × $15 + $9 = $135 + $135 + $9 = $279
20.
64524 15500
144 110 96
14012020
1 646 boxes
22. 164 − 9 × 7 = 164 − 63 = 101 lb
24. 120 pF + 450 pF + 350 pF + 75 pF + 150 pF = 1145 pF 26. (a) 22 × 8 176 hours
176 × 24 704 352 $4224
(b) 176 × 28 1408 352 $4928
(c) $4928 − 500 $4428
(d) Company B
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
234 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
28. (a) 72 8 9 smaller containers (b) 72 18 4 larger containers (c) Cost of smaller containers = 9 $4 $36 Cost of larger containers = 4 $6 $24 You save $36 $24 = $12 by purchasing the larger-sized containers. 30. Labor Cost 6 $55 11 $40 33 $25
$330 $440 $825
$1595
32.
20580 16400
160 40 0 400400
0
months
1712 205
12 85
841
17 yr, 1 mo
34. $ 33 × 8 $264
$ 264 − 220 $ 44 Save $44 by purchasing the set.
36. Nissan Leaf $ 28100 2760 + 855 $ 31715 � 15700 $ 16015 or $16,015
Prius Hybrid $ 25280 2700 + 303 $ 28283 � 12460 $ 15823 or $15,823
Hyundai Elantra $ 18805 4090 + 1116 $ 24011 � 12035 $ 11976 or $11,976
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 2 Fractions 235
Copyright © 2015 Pearson Education, Inc.
CHAPTER 2 FRACTIONS
Preview 2
2. (a) 7 5 35
8 32 256 (b)
3 1
1 2 9 2 34 3
2 3 2 3 1
1 1
(c) 3
5 of
1 3 3 91
2 5 2 10 (d)
1
3 1 3 2 3 11
4 2 4 1 2 2
2
(e)
1
7 1 23 5 23 4 23 32 1 2
8 4 8 4 8 5 10 10
2
(f) 4 ÷ 1 4 2 8
2 1 1 1 = 8
4. 3 5 5 12 5 5 22 11 3
1 in.4 16 16 16 16 16 16 8 8
Exercises 2-1 Working with Fractions A.
2. 1 15
72 2 4.
1 171
16 16 6.
22
1
8. 3 259
464 64
10. 13 29
116 16
B.
2. 8 3
15 5 4.
40 8 12 2
16 16 2 6.
11 23
3 3
8. 4 1
13 3 10.
5 12
2 2
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
236 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
C.
2. 4 2
6 3 4.
18 9
4 2 6.
35 7
30 6 8.
10 5
4 2
10. 34 17
32 16 12.
10 2
35 7 14.
45 5
18 2
D.
2. 3 12
4 16 4.
3 24
8 64 6.
7 23 922
8 8 32
8. 1 34
116 32
10. 4 = 24
6 12.
5 17 342
6 6 12
E.
2. 3 12 13 13
, ;2 8 8 8 is larger 4.
3 12 13 13, ;
4 16 16 16 is larger
6. 1 4 11 3 1
2 2 ,1 2 ; 22 8 8 8 2 is larger
8. 3 45 25 100 25
, ;16 240 60 240 60
is larger
10. 1 2 7 3 7
3 3 , 2 3 ; 22 4 4 4 4 is larger
12. 1 6 42 8 40 1
1 , ;15 5 35 7 35 5 is larger
F.
2. 10 × 150 + 6 × 100 = 1,500 + 600 = 2,100 2100 3
2800 4 of the old load
4. 3 12 13 13
, ;16 64 64 64
in. fastener is thickest
6. 24 8 2
29 3 3 in. between rivets 8.
60 3 11
40 2 2 times faster
10. pitch = rise 18 6 3
run 72 6 12
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 2 Fractions 237
Copyright © 2015 Pearson Education, Inc.
12. (a) 15 5
48 16 (b)
12 3
40 10 (c) Girls:
5 25
16 80
Boys: 3 24
10 80
The fraction of overweight Girls is higher.
Exercises 2-2 Multiplication of Fractions A.
2. 2 2 4
5 3 15 4.
3 16
2
1
= 3 6.
1
11 4 11
12 15 45
3
8.
1
7 13 13
8 14 16
2
10.
2 7
4 49
7 2
1 1
= 14 12. 21 4
6 1 6 83 3
1
14.
1
5 7 5 22 22 11 1
7 15 7 15 21 21
3
16.
13 11
5 3 65 33 143 310 3 35
6 10 6 10 4 4
2 2
18.
1
9 1 79 5 79 77 1 9
10 4 10 4 8 8
2
20. 18 ×
2
5 18 32 64 11 21
27 1 27 3 3
3
22.
3 1
4 2 1 9 2 1 31
5 3 4 5 3 4 10
1 2
24.
1 1 4
1 3 8 5 3 8 4 12 1
2 5 9 2 5 9 3 3
1 1 3
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
238 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
B.
2. 1 3 3
4 8 32 4.
7 1 7
8 2 16
6. 3 1 3 5 15
14 4 4 4 16 8.
5 2 5 5 25 71 2
3 3 3 3 9 9
10.
1
3 1 3 7 71
5 6 5 6 10
2
12. 3 12 2
4 25 5 5
14.
1
5 1 5 8 51
16 7 16 7 14
2
16.
3 1
15 3 15 8 3 11 1
16 5 16 5 2 2
2 1
C.
2. 71 57 399 3
7 14 14 998 8 4 4
4
in. 4. 3 3 23 3 69 5
5 44 4 4 4 16 16 in.
6. 12 × 33 147 441 1
9 12 11016 16 4 4
4
in. 8. 31 49 147 3
6 6 6 368 8 4 4
4
in.
10. 23 59
14 8 84 4
1
= 118 in. 12. 48 × 63 35
4 488 8
1
= 210 in.
14. 1 1 1 25 65 17 27625 41
12 8 4 4312 8 4 2 8 4 64 64 cu in.
16. 771 13
4 231 2313 3
1
= 1001 cu in. 18. 36 × 181 7
3 362 2
1
= 126 in.
20. 3 105 13
1 12 20 12 208 8
2
1
= 390 lb 22. 83
324
1
= 24 MGD
24. 1 1 1
360 45 , 360 72 ,8 5 6 × 360 = 60° 26.
1 5 5 18 2
16 2 2
2
in.
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 2 Fractions 239
Copyright © 2015 Pearson Education, Inc.
28. 1201 7
3 240 2402 2
1
= 840 mg 30.
33 12 3
12 2 2 9 2 11 hours4 1 4
1
32. 1 2 4 8
8 16 32 64
The only choice smaller than this is 5
64 in.
Exercises 2-3 Division of Fractions A.
2. 6 ÷ 32 36
3 2
1
= 9 4. 8 ÷ 1 4
84 1 = 32
6.
1
1 1 1 2
2 2 2 1
1
= 1 8.
4
3 5 3 16 12 22
4 16 4 5 5 5
1
10. 6 ÷ 21 3 2
1 6 6 42 2 3
1
12. 1 7 7 1 7 3
3 2 2 12 2 2 2 4 4
14. 10 ÷ 51 6 5 25 1
1 10 10 85 5 6 3 3
3
16.
1
2 2 1 16
3 3 6 9
3
18.
2
3 7 3 8 6
4 8 4 7 7
1
20.
1
1 1 3 5 3 2 31 2
2 2 2 2 2 5 5
1
22.
1
7 2 7 3 7
12 3 12 2 8
4
24.
1
2 1 5 5 5 4 4 11 1 1
3 4 3 4 3 5 3 3
1
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
240 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
B.
2.
2
1 1 7 1 7 43
2 4 2 4 2 1
1
= 14 ft
4. 1 177 177 1 177 9 3
88 12 12 7 72 2 2 12 24 24 8 ft long per column
22 ÷ 3 59 8 176 58
7 22 22 28 8 59 59 59 , not enough for 3 columns
Each piece gives 2 supporting columns.
Six pieces give 12 supporting columns.
6.
1
1 1 81 1 81 4 110 40
8 4 8 4 8 1 2
2
ft
8. 15 21 8
21 2 21 218 8 21
1
= 8 lengths of pipe
10.
1
5 1 29 83
8 8 8 1
1
= 29 ft
2
1 1 17 1 17 84
4 8 4 8 4 1
1
= 34 ft
Dimensions are 29 ft × 34 ft.
12.
4
3 1 27 323
8 32 8 1
1
= 108 rev
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 2 Fractions 241
Copyright © 2015 Pearson Education, Inc.
14.
2
1 1 7 1 7 43
2 4 2 4 2 1
1
= 14 ft
1
5 1 37 1 37 4 14 18
8 4 8 4 8 1 2
2
Dimensions are 14 ft × 1
182
ft.
16.
87
5 261 1 87 732 3 = 10 in.
8 8 3 8 8
1
18.
1
5 1 5 8 5 1 or 1 turns
32 8 32 1 4 4
4
20. 57 in. 1 1
36 in. = 20 in.2 2
1 41 9 41 1 41 5
20 9 2 in.2 2 1 2 9 18 18 per year
Exercises 2-4 Addition and Subtraction of Fractions A.
2. 5 11 16 4 1
1 112 12 12 12 3
4. 2 3 5
6 6 6
6. 13 3 10 5
16 16 16 8 8.
5 2 3 1
12 12 12 4
10. 1 3 7 11 3
18 8 8 8 8 12.
9 5 4 13 1 2 2
16 16 16 4
14. 7 3 7 6 13
16 8 16 16 16 16.
5 3 20 9 29
12 16 48 48 48
18. 5 3 10 3 7
16 32 32 32 32 20.
7 1 14 1 13
16 32 32 32 32
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
242 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
22. 2 4 10 12 22 7
13 5 15 15 15 15 24.
4 1 16 9 7
9 4 36 36 36
26. 11 1 1 33 6 16 33 22 11
16 8 3 48 48 48 48 48 48
28. 7 3 7 12 19 3
2 2 2 316 4 16 16 16 16
30. 8 1 40 16 56 7
2 1 2 1 3 332 10 160 160 160 20
32. 7 1 15 2 17 1
1 28 4 8 8 8 8
34. 3 1 23 25 69 25 44 8 2
5 2 3 34 12 4 12 12 12 12 12 3
36. 1 2 16 12 80 36 44 14
5 2 23 5 3 5 15 15 15 15
B.
2. 3 3 48 19 29 13
1 11 16 16 16 16 16
4. 1 1 1 1 30 20 15 12 77 17
12 3 4 5 60 60 60 60 60 60
6. 1 3 1 13 23 65 52 46 65 163 3
6 5 8 202 4 8 2 4 8 8 8 8 8 8
8. 3 3 19 11 38 11 27 3
4 1 34 8 4 8 8 8 8 8
10. 2 1 20 5 80 15 65 5
6 1 53 4 3 4 12 12 12 12
12. 8 7 15 15 120 105 15
1 17 8 7 8 56 56 56
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 2 Fractions 243
Copyright © 2015 Pearson Education, Inc.
C.
2. 5 3 10 3 13
8 16 16 16 16 in. 4.
9 3 9 6 3
16 8 16 16 16 in.
1 3 3
2 16 32 in.
6. 5 1 1 10 1 4 15
8 16 4 16 16 16 16 in.
8. 14 ft − 3 1 1 1
2 ft + 4 ft + 3 ft + 1 ft4 8 2 4
= 14 ft − 6 1 4 2
2 ft 4 ft 3 ft 1 ft8 8 8 8
= 5 112 93 19
14 ft 11 ft = ft ft ft8 8 8 8
= 3
28
ft
10. 1 5 7 1 25 37 39 5 100 37 78 40
3 1 2 18 32 16 4 8 32 16 4 32 32 32 32
255 31
732 32
in.
12. 1 7 13 39 52 39 13 5
6 4 12 8 2 8 8 8 8 8 in.
14. 3 5 1 3 11 5 3 3 22 5 12 6 1
2 1 roll4 8 2 4 4 8 2 4 8 8 8 8 8
He does not have enough.
16. 1 3 120 18 7 95 3
30 4 1 232 4 4 4 4 4 4
in. for drawers
18. 1 3 3 2 3 15 20
32 4 4 4 4 4 4 = 5 in.
20. 1 3 1 5 1 1
8 8 8 16 16 8 =
2 6 2 5 1 2
16 16 16 16 16 16 =
11 in.
8
22. 17 in. − 3
74
in. = 68 31 1
in. in. 9 in.4 4 4
24. 2 in. 1
14
in. = 3
4 in. penetration into the second piece.
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
244 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
Problem Set 2 A.
2. 1 21
45 5 4.
3 352
16 16 6.
1 332
16 16 8.
7 553
16 16
10. 19
2
19
2 12.
9 11
8 8 14.
21 51
16 16 16.
7 12
3 3
18. 8 1
32 4 20.
18 3
24 4 22.
12 41 1
21 7 24.
10 23 3
25 5
26. 7 28
16 64 28.
3 11 441
8 8 32 30.
4 14 181
5 5 10 32.
3 13 262
5 5 10
34. 2 14 4 12 2
, ;3 21 7 21 3 is larger 36.
1 15 7 14 11 , ;1
4 12 6 12 4 is larger
38. 2 16 3 15 2
, ;10 80 16 80 10
is larger
40. 3 27 1 32 1
, ;32 288 9 288 9
is larger
B.
2.
1 1
3 2 1
4 3 2
2 1
4.
5
15 1 5
64 12 256
4
6. 1 1 49 1 49
316 5 16 5 80
8. 7 3 21 1
14 58 4 4
4
10.
2
1 1 1 4 21
2 3 2 3 3
1
12. 21 17
16 2 16 348 8
1
14.
5 3
1 2 25 12 15 13 2 7
8 5 8 5 2 2
2 1
16. 2 1 2 2 4
5 2 5 1 5
18. 3 8 4 32 2
8 104 1 3 3 3
20. 1 3 1 3
1 22 2 2 4
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 2 Fractions 245
Copyright © 2015 Pearson Education, Inc.
22.
1
1 1 5 3 5 2 51 1
4 2 4 2 4 3 6
2
24.
4
1 5 16 12 16 7 28 133 1 1
5 7 5 7 5 12 15 15
3
C.
2. 1 3 2 3 5 1
12 4 4 4 4 4 4.
3 1 3 5 3 10 13 51 1
8 4 8 4 8 8 8 8
6. 5 1 25 4 29
8 10 40 40 40 8.
7 1 7 4 3
8 2 8 8 8
10. 5 1 25 6 19
6 5 30 30 30
12. 1 3 3 3 48 3 45 13
1 12 32 2 32 32 32 32 32
14. 5 13 13 13 26 13 39 7
1 28 16 8 16 16 16 16 16
16. 3 − 7 3 15 24 15 9 1
1 18 1 8 8 8 8 8
18. 1 5 9 5 27 10 17 5
2 14 6 4 6 12 12 12 12
20. 1 1 1 3 5 6 30 25 24 79 19
1 1 1 32 4 5 2 4 5 20 20 20 20 20
22. 3 4 13 19 39 19 20 5 1
2 1 1 15 15 5 15 15 15 15 15 3
24. 5 1 29 3 29 9 20 2 1
4 1 3 36 2 6 2 6 6 6 6 3
D.
2. 5 3 1
10 1016 16 2
in. are needed for each piece
240 21 2 480
2401 2 21 21
= 22.857... or 22 pieces
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
246 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
4. 1 7 2 7
64 in. 62 in. 64 in. 62 in.4 8 8 8
= 514 503 11 3
in. in. = in. = 1 in.8 8 8 8
6. 5 3 10 3 13
14 14 1416 32 32 32 32
1 13 101 461 808 461 347 27
25 14 104 32 4 32 32 32 32 32
Yes, a bar 3
108
in. can be cut from the remainder.
8. 1 5 3 4 5 6 15
5 3 7 5 3 7 154 16 8 16 16 16 16 in.
10. 47 39
4 32 328 8
1
= 156 in. = 13 ft
12. A = 1 7 33 23 66 23 43 11
4 1 28 16 8 16 16 16 16 16 in.
B = 5 1 5 3 5 4 5 6
10 4 2 2 10 4 2 28 8 32 16 8 32 32 32
= 5 15 20 15 5
10 8 10 8 28 32 32 32 32 in.
C = 1 5 4 5 9
4 2 4 2 68 32 32 32 32 in.
D = 5 3 10 3 7
10 2 10 2 88 16 16 16 16 in.
14. 7 1 31 155 16 171 3
3 5 4 5 2 218 2 8 8 8 8 8
in.
16. 7 pieces: 13 1092 4368
12 72 2 8 in.
4 pieces: 139 1112
4 1394 8
in.
9 pieces: 155 1395
98 8
in.
Total: 4368 1112 1395 6875 3
8598 8 8 8 8
in. or 71 ft 3
78
in.
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Chapter 2 Fractions 247
Copyright © 2015 Pearson Education, Inc.
18. Total margin = 11 − 1 1
9 12 2
Top margin = 2 3 6
5 2 10 in. =
3
5 in.
Bottom margin = 3 3 9
5 2 10 in.
20. Longest = 3 1 195 2 197 5
24 248 4 8 8 8 8 in.
Shortest = 3 1 195 2 193 1
24 248 4 8 8 8 8 in.
22. Total allowance = 3 × 5 15
16 16 in.
Each seam = 1 15 15
2 16 32 in. allowance
24. 7 1 1 7 5 1
18 4 2 8 4 2
7 10 4 21 5or 2 in.
8 8 8 8 8
26. 1 1 1 13 13 5
3 1 in.2 4 2 4 8 8
28. 1 8 1
8 2 in.4 1 4
30. 3 3 5 6 10 16 1
in.32 32 16 32 32 32 2
32.
48
1 1 22 1447 12 12 7 144 1056
3 3 3 1
1
scarves
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
Copyright © 2015 Pearson Education, Inc. 249
CHAPTER 3 DECIMAL NUMBERS
Preview 3 2. (a) 5.820 − 0.096 5.916
(b) 3.780 − 0.989 2.791
(c) 27.00 − 4.03 22.97
(d) 7.25 × 0.301 725 21750 2.18225
(e)
3256.250.032 104.2 32 104200.00
96 82
64 180
160 200 192
8 0 6 4 1 60
0
.
.
.1.6
(f)
2250.0004 0.09 4 900
8 10 8
2020
(g) 3.0447
6.7 20.4 67 204.0000201
3 00 2 68
320 268
520
.
.
46951
3.045
4. (a) ...
0.187516 3.0000
1 6 1 40 1 28
120 112
8080
(b) 2
13
+ 1.785
1.666... + 1.785 1.667 1.785 3.452
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman
250 Mathematics for the Trades
Copyright © 2015 Pearson Education, Inc.
(c) 4.1 × 1
24
= 4.1 × 2.25
2.25 × 4.1 225 9 00 9.225
(d) 5
116
÷ 4.3 = 1.3125 ÷ 4.3
4.3 1.3125
0.3052 0.305
43 13.125012 9
225 215
10
4
.
0861
Exercises 3-1 Addition and Subtraction of Decimal Numbers A. 2. Eight and seven tenths 4. Five hundredths 6. Fourteen and ninety-one thousandths 8. Six and eighty-three ten thousandths 10. 3.4 12. 0.05 14. 3.021 16. 40.7 18. 0.0047 20. 10.0222 B. 2. 75.6 + 2.57 78.17
4. $ 52.37 + 98.74 $ 151.11
6. 0.096 + 5.82 5.916
8. 212.70 + 25.46 238.16
10. 390.00 + 72.04 462.04
12. 7.83 − 6.79 1.04
14. $ 20.00 − 13.48 $ 6.52
16. 40.00 − 3.82 36.18
18. $ 25.00 − 0.61 $ 24.39
20. 19.00 − 5.78 13.22
22. 183.00 3.91 45.00 + 13.20 245.11
24. 148.002 + 3.400 151.402
26. 35.360 + 4.347 39.707
28. 180.76 − 94.69 86.07
30. 92.3020 − 73.6647 18.6373
32. 212.40 76.00 + 3.79 292.19
34. 36.400 − 7.005 29.395
36. 0.03800 + 0.00462 0.04262
38. 0.932 + 0.080 1.012 − 0.400 0.612
40. 2.920 − 1.007 1.913 − 0.080 1.833
From https://testbankgo.eu/p/Solution-Manual-for-Mathematics-for-the-Trades-A-Guided-Approach-10th-Edition-by-Carman