Test bank and solution manual odd NUmbered problems (1)

Solutions to Odd-Numbered Problems CHAPTER ARITHMETIC OF WHOLE NUMBERS Preview 1 (a) (b) Two hundred fifty thousand, three hundred seventy-four 1,065,008 (a) 67 + 58 = 125 (a) 64 × 37 448 192 2368 680 Ϫ 235 = 455 lb finished weight (a) (b) (c) (d) (b) (b) 7009 + 1598 = 8607 (c) 305 × 243 915 1220 610 74115 or 74,115 908 × 705 4540 63560 640140 or 640,010 + × = + 27 = 33 35 Ϫ 14 ÷ = 35 Ϫ = 33 56 ÷ × + Ϫ = 14 × + Ϫ = 28 + = 33 (23 7) ì 24 ữ (12 4) = 16 ì 24 ữ = 384 ÷ = 48 Exercises 1-1 Reading, Writing, Rounding, and Adding Whole Numbers A Three hundred fifty-seven Seventeen thousand, ninety-two Two million, thirty-four Seven hundred forty thousand, one hundred six One hundred eighteen million, one hundred eighty thousand, eighteen 11 3006 13 11,100 15 4,040,006 17 360 19 4000 21 230,000 B 70 80 123 132 393 19 11,428 11 1390 13 1009 15 861 17 9461 21 25,717 23 11,071 25 175,728 27 663,264 Copyright © 2015 Pearson Education, Inc Mathematics for the Trades C 1042 6514 11 17 1,166,040 2442 64 13 7083 55 6352 15 357 D 387 ft 913 76 2640 + 845 4861 ft (a) 420 260 875 340 558 564 280 + 310 3607 watts 1205 865 742 + 257 3114 bricks 346 275 84 128 325 98 260 + 120 1636 screws 78 428 143 96 + 384 1129 minutes (b) 875 564 + 558 1997 watts (c) 260 280 + 310 850 watts 11 $ 499 249 369 + 79 $ 1196 15 485 74 251 + 146 756 grams 17 1400 1800 600 + 100 3900 W 19 (a) (b) 1264 776 + 987 3027 points 1172 1054 915 + 1123 4264 points Copyright © 2015 Pearson Education, Inc 13 520 1160 49 + 1200 2929 ohms (c) 4264 + 3027 7291 points Chapter Arithmetic of Whole Numbers E 35244 + 61775 97001 kHz or 97,001 kHz (a) $307,225 (a) (b) $732,813 (c) $2,298,502 (b) Total feet of each kind 11,453 ft of #12 BHD 258 ft of #TX 12,715 ft of 410 AAC 8792 ft of 110 ACSR 7425 ft of 6B (d) $7156 Total feet installed at each location 3530 ft at A3 8412 ft at A4 4294 ft at B1 5482 ft at B5 5073 ft at B6 6073 ft at C4 7779 ft at C5 Exercises 1-2 Subtraction of Whole Numbers A 11 13 15 17 19 21 23 25 27 29 31 33 35 13 12 15 38 46 11 25 13 189 15 281 17 408 19 273 21 574 23 2809 25 12,518 27 4741 29 47,593 B C 3540 ft Ϫ 1782 1758 ft $ 486 Ϫ 27 $ 459 The drums contain 72 + 45 + 39 + 86 = 242 liters drums contain 97 + 115 + 74 = 286 liters The total volume of the drums is greater by (286 Ϫ 242) = 44 liters 238 Ϫ 64 174 gal 11 13 20000 Ϫ 6500 13500 ohms or 13,500 ohms 15 $ 1206512 Ϫ 875977 $ 330535 or $330,535 22000 Ϫ 14250 7750 impressions − 1350000 850000 500000 Hertz or 500,000 Hertz Copyright © 2015 Pearson Education, Inc Mathematics for the Trades 17 8823 Ϫ 8701 122 HCF 19 Hyundai Sonata: $ 23219 + 8410 $ 31629 Ϫ 8629 $ 23000 or 23,000 Sonata Hybrid: $ 25784 + 6426 $ 32210 Ϫ 9053 $ 23157 or $23,157 Therefore, the Sonata costs less than the Sonata Hybrid by $157 D Total mileage of each #1 60,027 Ϫ 58,352 = 1675 #2 43,302 Ϫ 42,135 = 1167 #3 78,007 Ϫ 76,270 = 1737 #4 41,322 Ϫ 40,006 = 1316 #5 10,002 Ϫ 08,642 = 1360 #6 35,700 Ϫ 35,401 = 299 #7 80,101 Ϫ 79,002 = 1099 #8 40,122 Ϫ 39,987 = 135 #9 11,671 Ϫ 10,210 = 1461 #10 73,121 Ϫ 71,040 = 2081 Total mileage of all = 12330 or 12,330 $28245 Ϫ 3814 $24431 or 24,431 (a) Balance A = $2065 (b) 6375 − 379 5996 + 1683 7679 + 474 8153 + 487 8640 − 2373 6267 − 1990 4277 − 308 3969 − 1090 2879 − 814 = = = = = = = = = $ 6375 5996 7679 8153 8640 6267 4277 3969 2879 2065 Exercises 1-3 Multiplication of Whole Numbers A 42 48 63 54 45 11 296 13 576 15 320 17 290 19 416 21 792 23 1404 25 282 27 720 29 5040 31 1938 33 4484 35 3822 Copyright © 2015 Pearson Education, Inc Chapter Arithmetic of Whole Numbers B 11 305 × 123 915 610 305 37515 or 37,515 809 × 7281 13 8043 × 37 56301 24129 297591 or 297,591 15 500 × 50 25000 or 25,000 3706 102 7412 37060 378012 or 378,012 7009 504 28036 350450 3532536 or 3,532,536 17 × 684 × 45 3420 2736 30780 or 30,780 316 32 632 948 10112 or 10,112 19 × × 2008 198 16064 18072 2008 397584 or 397,584 × 807 × 111 807 807 807 89577 or 89,577 C 75 × 40 $ 3000 50 × 18 400 50 900 $ 500 11 500 500 5500 100 × 16 1600 × × 17 60 24 240 120 1440 11 1440 16 8640 1440 23040 screws or 23,040 screws 15 × 850 25 4250 1700 21250 ohms or 21,250 ohms, No × 900 1600 + 5500 8000 = total envelopes 60 × 240 × 1200 bolts 27 54 × 45 270 216 2430 parts × 13 65 × 20 1300 ft 19 170 220 000 340 340 37400 bu or 37,400 bu 850 × 7650 cards 23 × 115 in (or ft in.) 21 ì Copyright â 2015 Pearson Education, Inc ì 96 480 A 23 27 Mathematics for the Trades 25 176 × 500 000 000 880 88000 mL or 88,000 mL 250 60 000 1500 15000 gal/hr or 15,000 gal/hr × × $ 16 × 40 00 64 $ 640 $ × 640 52 1280 3200 $ 33280 or $33,280 15000 30000 gal or 30,000 gal D $873 × 365 = $318,645 $1,000,000 Ϫ 318,645 = $681,355 (a) 111,111,111 222,222,222 333,333,333 (b) 111,111 222,222 333,333 (c) 121 12,321 1,234,321 123,454,321 (d) 42 4422 444,222 44,442,222 4,444,422,222 hours/day × days/week = 40 hours/week Alpha 117 × $ × 40 = $ 28,080 Beta 67 × $17 × 40 = $ 45,560 Gamma 29 × $32 × 40 = $ 37,120 Delta 37 × $49 × 40 = $ 72,520 Tau 18 × $78 × 40 = $ 56,160 Exercises 1-4 Division of Whole Numbers A 63 63 Not defined 10 r1 71 01 Copyright © 2015 Pearson Education, Inc 32 32 Chapter Arithmetic of Whole Numbers 17 25 54 54 37 222 18 42 42 22 31 682 62 62 62 11 19 27 23 r6 167 14 27 21 23 14 322 28 42 42 13 21 51 r4 310 30 10 39 24 936 72 216 216 15 23 21 147 14 07 r1 81 730 729 r35 42 371 336 35 B 17 25 120 61 7320 61 122 122 305 r5 14 4275 42 075 70 200 15 3000 30 000 100 r11 111 11111 111 011 11 11 19 27 56 r8 16 904 80 104 96 119 53 6307 53 100 53 477 477 108 r4 24 2596 24 196 192 13 21 96 21 2016 189 126 126 501 3507 35 007 600 38 22800 228 000 17 r123 405 7008 405 2958 2835 123 Copyright © 2015 Pearson Education, Inc 15 23 222 r2 2000 18 20 18 20 18 604 3624 36 024 24 102 r98 411 42020 411 920 822 98 10 Mathematics for the Trades C (a) 1, 2, 3, (b) 6=2×3 (a) 1, 19 (b) prime (a) 1, 2, 4, 5, 8, 10, 20, 40 (b) 40 = × × × D 11 17 19 27 in 243 18 63 63 in 18 126 126 48 boxes 10 480 40 80 80 13 hr 85 1105 85 255 255 $ 4696 Ϫ 3400 $ 1296 13 27   28 joists 16 432 32 112 112 $72 per hour 18 1296 126 36 36 27 reams 500 13500 1000 3500 3500 230 months 30 6900 60 90 90 0 19 12 230 12 110 108 19 years, months 250 minutes 200 50000 400 1000 1000 0 60 250 240 10 hr, 10 Copyright © 2015 Pearson Education, Inc 15 loops 18 Chapter Arithmetic of Whole Numbers 21 506409 Ϫ 460089 46320 or 46,320 in hr 11580 rph 46320 23 18 Ϫ 12 12 ÷ = ft from each wall 25 $85 × 36 + $350 = $3060 + $350 = $3410 $3410 − $3300 = $110 27 193 rpm 60 11580 60 558 540 180 180 Cost = $20  $3 + 30  $4 + (87  50)  $5 = 20  $3 + 30  $4 + 37  $5 = $60 + $120 + $185 = $365 95 ÷ 19 + 300 ÷ 25 = + 12 = 17 gal 17  $4 = $68 29 (a) (b) 31 220 × 13 660 220 2860 calories 33 Hybrid $ 26915 + 3876 $ 30791 Ϫ17718 $ 13073 or $13,073 Non-Hybrid $ 24718 + 4291 $ 29639 Ϫ15214 $ 14425 or $14,425 The 3-year cost of the hybrid is lower by $1352 35 15 24 bushels 32 768 64 128 128 Copyright © 2015 Pearson Education, Inc $ 14425 Ϫ13073 $ 1352 CHAPTER FRACTIONS Preview 31  31  4 28 (a) (b)   24  31    8 8 (c) 20   16 64 (d) 7 56  ,   4 32 (e) 10  64 32 32 (f) 15 45 40   ,  ;1 is larger 8 24 24 (a) 10    16 16 16 (b) 3 19 12 31 15     1 16 16 16 16 16 (c) 15 11     20 20 20 (d) 1 64 21 43 11    2 16 16 16 16 16 Exercises 2-1 Working with Fractions A 1  3 3 67  8 2  3 17 8 2 11 1 8 100  16  16 6 80 16 2 2 32 32 23  8 5 1 2 29  6 B C 12  16  16  10 Copyright © 2015 Pearson Education, Inc 24  30 17 18 Mathematics for the Trades 4 12 42 21  64 32 11 13 15  36 12 15 38 19  24 12 5 20   4 16 11 21 42   8 16 D 14  16  64 18 36   5 10 40 1  60 3 E 21 20  ,  ; is larger 35 35 1  ,  ;1 is larger 14 14 21 20  ,  ; is larger 24, 24 7 28 30   ,  ; is larger 5 20 20 13 26 25 13  ,  ; is larger 10 10 11 10  ,  ; is larger 24 12 24 12 F 15  15 in 22 34,320 19 34,580 47 34, 216 25 34,125  ,  ,  ,  10,920 10, 920 15 10, 920 10,920 25 41 34, 440 19  ; is largest approximation; is smallest approximation 13 10,920 28 29 in  in.; it is not possible to have an inner diameter of in 32 32 15   9,  will remain 15 Copyright © 2015 Pearson Education, Inc Chapter Fractions 11 12  fertilizer in final mixture 60 24 11 22 = = 32 16 32 23 Try in 32 Exercises 2-2 Multiplication of Fractions A 1 1   8 10   1 12 9 11 1    3 3 1 15 19 23 23  15   15  69 5 1 83 83 11      10 8 8 1 1 2    15 2   15 5 12 15   2 2 13 1 13 13 1    3 6 4 17 34 37 34     74 17 17 21 1 1    2 25 1  2 1 Copyright © 2015 Pearson Education, Inc 8 3  3 19 20 Mathematics for the Trades B 1 1   1 3     2 2 1   1 21 13 6 2 16 8 1   2 5 21 21 2    1 10 10 16 16 11 7 21 1    1 8 20 20 15 1 3 2   1 8 1 C 5 19 29 551 38   38    137 in 8 4 35  28   11 ft 12 3 113 339 1 28   6  169 in., or 14 ft in 4 2 2 91 14 637 22  14     318 mi 4 2 31 93 23 713 46      356 lb 3 2 11 18× = in 20 10 13 13 39  26   in 4 Copyright © 2015 Pearson Education, Inc Chapter Fractions 15 17 21 23 25 45  27 1, 215 3  45    303  45  348 4 4 32 32  64   10 hr 3 19 27 27      in 5 5 3 15 45 63     22 picas 4 2 3 33 1 12   11   12    27   31 in 8 8 13 13 26    in 4 27 29 37 37 2    pounds 8 4 31 1 31 31 15      in 4 8 15     in 16 16 32 33 37 12  12    74 pairs 6 1 5     12 12 16 1     16 16 2 Exercises 2-3 Division of Fractions A 1 5     1 6 3 6     16 16 Copyright © 2015 Pearson Education, Inc 21 22 Mathematics for the Trades 1 3      9 6 1 11 2 22 33 22 14 2      1 14 14 33 3 13 2 32 16 32 6 5      1 5 16 5 15 8    16 17 12  19 5 15  5  7 2 21 5     16 16 23 1 7 7 1      23 32 32 8  12   18 B 37 222   222   222  = 48 boards 8 37 1 4    ft 4  42  = 84 pieces 189 21 189 47      = 18 courses of brick 8 21 1 40  11 99 99 99 24        ; full sheets can be cut 4 14 14 25 32  40   40    = × 35 = 210 pieces 4 25 5 Copyright © 2015 Pearson Education, Inc Chapter Fractions 13 1 18    = 45 threads 18 1 15 71 213 106 sq ft ữ ì sq ft = 284 sq ft = 1 17 1 7 7 ÷3 = ÷ = × = in per year 16 16 16 8 19 3 16 ữ = ì = washers 16 1 Exercises 2-4 Addition and Subtraction of Fractions A 1    16 16 16 12    16 16 16    4   5 15    16 16 16 16 11 15 12 1     1 1 8 8 8 13 1     4 4 15 15 17     12 24 24 24 17     8 8 19 15 15     16 16 16 16 21 24 29     40 40 40 23 35 16 19     40 40 40 25 1         8 8 8 27 1       1 4 4 4 Copyright © 2015 Pearson Education, Inc 23 24 Mathematics for the Trades 29 5 13 20 13 33 1      4 8 8 8 31 1 35 18 53       3 5 15 15 15 15 33 33 33 14 19 1      2 8 8 8 35 1 16 25 192 125 67 2      1 12 12 60 60 60 60 B 64 23 41 2    5 8 8 13 29 13 58 13 45 13       2 16 16 16 16 16 16 1       8 8 7 5 20 10 27 10 17         2 8 8 8 8 39 35 78 35 43 11 2      2 16 16 16 16 16 16 11 13 13 65 26 39 2      3 5 10 10 10 10 C 1 1 5 46 10 72 + + + + + in = + + + + + in = in = in 4 8 8 8 8 3 11 46 - 34 in = 45 - 34 in = 11 in 8 8 3 3           23   25 c.i 4 4 4 4 6 24 18 1 - = - = - = = = in 16 16 16 16 16 16 21 25     1 in 16 16 16 16 16 Copyright © 2015 Pearson Education, Inc Chapter Fractions 11 9 10 37 5           21  21   23 in 16 16 16 16 16 16 16 16 16 13  2 10  2 10 13 298 253 45 18       18       18  15    in remain  16 16  16  16 16 16  16 16 16 16 16 15 405 807 810 807 101  100 in = in  in = in  in.= in 8 8 17 1 33 31 3 1      in.;   in 4 4 4 Finished size is in × in 15 15 2  2  in 16 16 16 16 19 21 40 33 in in = in in = in 64 64 64 64 23 1 21 21 18 qt - qt = - = - = qt 4 4 25 27 13 14 94     cu yd remaining in the truck 3 3 Problem Set A 1  8  3 3 99  32 32 13  8 10 2 2 4 11 25 8 3 15 35 8 4 17  32 16 16 19 12  32 8 21  30 6 23 25  12 27 29 17 68   3 12 13 25 1 16 16 11 44   4 16 Copyright © 2015 Pearson Education, Inc 16 1 20 25 26 Mathematics for the Trades 31 15   4 12 33 105 32 ,  ;  is larger 16 240 15 240 16 35 13 14 ,  ; is larger 16 16 37 13 65 96  ,  ; is larger 32 160 160 39 12 ,1  ; is larger 16 16 B 1 3   16 32 1 5 1     1 6 4 13 15  10  7 2 7   16 12 5   16 12 64 11 35 35 2 4     11 8 3 1    32 1 17 4 21 7 5   2 10 23 11 11 22 1      2 8 9 1 18   18   27 2 15 1    2 1 19 2 1 4   3 Copyright © 2015 Pearson Education, Inc Chapter Fractions C 10   1 1 8 8 3     32 32 32 32 5 18 25 43 13     1 30 30 30 30    16 16 16 11 11     16 16 16 16 11 35 12 23     10 40 40 40 13 1 17 17 10 27 1      3 8 8 8 15 12 1      4 2 2 2 17 11 15 88 45 43 19 1      1 8 24 24 24 24 19 1 15 10 31       1 30 30 30 30 30 21 1 7 21 14 2      1 3 6 6 23 10 2 1      5 5 D 47 17 91 47 68 182 297   22         37 in 8 8 8 = 22 in Shortest: 22  in = 22  16 16 16 16 Longest: 22 + in = 22 + in = 22 in 16 16 16 16 28 25 1  1  in difference 32 32 32 32 1 69 15 69 69 34         cu ft 2 2 15 15 15 13 13 14  17   25  31   17   25  31 16 16 16 16 16 16 45 13 13  90  90   92 in 16 16 16 Copyright © 2015 Pearson Education, Inc 27 28 11 13 15 17 Mathematics for the Trades 3 12 15     in 16 16 16 16 35 35 Radius #1 =     16 16 32 1 9 18 Radius #2 =      8 16 32 23 18 35 184 53 131      4 in 32 32 32 32 32 32 1 33 1 28   27   28   13  231  13  244 in 4 2 1 1 17 17 2  2  2    8 8 16 1 in margin on each side width-wise 16 1 11 4  4 1 2   8 8 11 = in margin on each side length-wise 16 1 83 83  46   41 in     5 in 2 16 16 19 46   21 1   in ÷ 18 rev × in 16 rev   = 15 60  in  15 in ÷  = =  = in ×  in 23 5 × in = in = in 2 25 3 × in = × = in 16 16 32 27 15 60 × = 60 × = 225 tablets 4 29 3      in 8 8 The 1-in screw is the longest one less than this Copyright © 2015 Pearson Education, Inc Chapter Fractions 31 (a) 1  1 10   22  15   3 3 46  10   22   12 12 12 123 102 272 92     12 12 12 123 102 272 368     12 12 12 12 865   72 ft 12 12 (b) 12 865   865 sq ft 12 (c) 865  $6  $5190 33 35 12  12    105 pairs of shorts 4 1 Copyright © 2015 Pearson Education, Inc 29 ... Reading, Writing, Rounding, and Adding Whole Numbers A Three hundred fifty-seven Seventeen thousand, ninety-two Two million, thirty-four Seven hundred forty thousand, one hundred six One hundred... Problem Set A Five hundred ninety-three Forty-five thousand, two hundred six Two million, four hundred three thousand, five hundred sixty Ten thousand twenty 408 11 230,056 13 64,700 15 690 17 18,000... Seven hundred forty thousand, one hundred six One hundred eighteen million, one hundred eighty thousand, eighteen 11 3006 13 11,100 15 4,040,006 17 360 19 4000 21 230,000 B 70 80 123 132 393 19 11,428