Skip to content
Textbook Guides

Solution Manual for Practical Problems in Mathematics for Electricians, 9th Edition

Solution Manual for Practical Problems in Mathematics for Electricians, 9th Edition offers the best solutions to textbook problems, helping you prepare for exams and assignments.

Preview 16 of 95 pages

See the first 16 pages exactly as they appear in the document.

  1. Page 1
    Read page 1 as text

    ’s Guide to Accompany Practical Problems in Mathematics for Electricians Ninth Edition

  2. Page 2
  3. Page 3
    Read page 3 as text

    CONTENTS To the v Section 1 Whole Numbers Unit 1 Addition of Whole Numbers 1 Unit 2 Subtraction of Whole Numbers 1 Unit 3 Multiplication of Whole Numbers 2 Unit 4 Division of Whole Numbers 3 Unit 5 Combined Operations with Whole Numbers 4 Section 2 Common Fractions Unit 6 Addition of Common Fractions 5 Unit 7 Subtraction of Common Fractions 5 Unit 8 Multiplication of Common Fractions 6 Unit 9 Division of Common Fractions 7 Unit 10 Combined Operations with Common Fractions 7 Section 3 Decimal Fractions Unit 11 Addition of Decimal Fractions 9 Unit 12 Subtraction of Decimal Fractions 9 Unit 13 Multiplication of Decimal Fractions 10 Unit 14 Division of Decimal Fractions 11 Unit 15 Decimal and Common Fraction Equivalents 12 Unit 16 Combined Operations with Decimal Fractions 12 Section 4 Percents, Averages, and Estimates Unit 17 Percent and Percentage 13 Unit 18 Interest 13 Unit 19 Discount 14 Unit 20 Averages and Estimates 14 Unit 21 Combined Problems on Percents, Averages, and Estimates 15 Section 5 Powers and Roots Unit 22 Powers 16 Unit 23 Roots 17 Unit 24 Combined Operations with Powers and Roots 17 Unit 25 Metric Measure and Scientific Notation 18 Section 6 Measure Unit 26 Length Measure 18 Unit 27 Area Measure 19 Unit 28 Volume and Mass Measure 20 Unit 29 Energy and Temperature Measure 21 Unit 30 Combined Problems on Measure 22 Section 7 Ratio and Proportion Unit 31 Ratio 23 Unit 32 Proportion 24 Unit 33 Combined Operations with Ratio and Proportion 24

  4. Page 4
    Read page 4 as text

    Section 8 Formulas Unit 34 Representation in Formulas 25 Unit 35 Rearrangement in Formulas 25 Unit 36 General Simple Formulas 26 Unit 37 Ohm ’ s Law Formulas 27 Unit 38 Power Formulas 28 Unit 39 Combined Problems on Formulas 28 Section 9 Trigonometry Unit 40 Right Triangles 29 Unit 41 Trigonometric Functions 30 Unit 42 Plane Vectors 30 Unit 43 Rotating Vectors 31 Unit 44 Combined Problems in Trigonometry 32 Unit 45 Number Systems 32 Achievement Reviews Achievement Review A 33 Achievement Review B 35 Answers to Achievement Review A 38 Answers to Achievement Review B 39 iv Contents

  5. Page 5
    Read page 5 as text

    SECTION 1 WHOLE NUMBERS UNIT 1 Addition of Whole Numbers 1. 1,165 2. 567 3. 556 4. 483 5. $951 6. 2,577 ft 7. 2,380 ft 8. 840 hp 9. 615 lb 10. 4,760 kW • h 11. 14,839 W 12. $207 13. 473 14. 350 W 15. 1,052 16. 22,750 ft 17. 3,706 ft 1. 1,161 ft 2. $152 3. 455 4. 720 ft 5. 137 ft 6. 319 lb 7. 305 ft 8. $257 9. 200 10. 289 lb 11. 1,372 kW • h 12. 655 13. 65 14. 8 15. 221 ft 16. 127 mi 17. 10 M Ω 18. 88 cm ’s Guide 1 1. 176 + 264 + 375 + 234 + 116 = 1,165 2. 124 + 72 + 36 + 92 + 38 + 64 + 74 + 67 = 567 3. 68 + 58 + 89 + 84 + 72 + 59 + 69 + 57 = 556 4. 56 + 9 + 86 + 36 + 93 + 105 + 42 + 56 = 483 5. $118 + $38 + $64 + $88 + $73 + $26 + $153 + $112 + $215 + $64 = $951 6. 500 ft + 1,200 ft + 250 ft + 90 ft + 38 ft + 65 ft + 84 ft + 225 ft + 125 ft = 2,577 ft 7. 625 ft + 785 ft + 75 ft + 140 ft + 310 ft + 325 ft + 120 ft = 2,380 ft 8. 75 hp + 30 hp + 200 hp + 40 hp + 25 hp + 15 hp + 5 hp + 125 hp + 150 hp + 175 hp = 840 hp 9. 35 lb + 40 lb + 125 lb + 200 lb + 75 lb + 90 lb + 20 lb + 30 lb = 615 lb 10. 450 kW • h + 400 kW • h + 420 kW • h + 380 kW • h + 370 kW • h + 320 kW • h + 310 kW • h + 330 kW • h + 380 kW • h + 400 kW • h + 420 kW • h + 580 kW • h = 4,760 kW • h 11. 545 W + 650 W + 750 W + 1,820 W + 2,462 W + 2,571 W + 1,360 W + 1,540 W + 793 W + 1,225 W + 330 W + 793 W = 14,839 W 12. $58 + $55 + $51 + $19 + $24 = $207 13. 325 + 45 + 18 + 25 + 30 + 24 + 6 = 473 14. 150 W + 125 W + 75 W = 350 W 15. 250 + 125 + 65 + 36 + 48 + 96 + 92 + 28 + 42 + 106 + 140 + 24 = 1,052 16. 7,500 ft + 10,750 ft + 4,500 ft = 22,750 ft 17. 1,200 ft + 1,150 ft + 1,076 ft + 180 ft + 100 ft = 3,706 ft UNIT 2 Subtraction of Whole Numbers 1. 500 ft + 250 ft + 750 ft = 1,500 ft 1,500 ft – 339 ft = 1,161 ft 2. $598 – $263 – $173 – $10 = $152 3. 145 – 35 = 110 565 – 110 = 455 4. 45 ft + 45 ft + 45 ft + 65 ft + 65 ft + 65 ft = 330 ft 1,050 ft – 330 ft = 720 ft 5. 30 ft + 15 ft + 8 ft + 25 ft + 15 ft + 20 ft = 81 ft 250 ft – 113 ft = 137 ft 6. 365 lb + 422 lb = 787 lb 1,106 lb – 787 lb = 319 lb 7. 1,365 ft + 830 ft = 2,195 ft 2,500 ft – 2,195 ft = 305 ft 8. $76 + $105 = $181 $438 – $181 = $257 9. 59 + 69 + 72 = 200 400 – 200 = 200 10. 15 lb + 6 lb + 24 lb + 12 lb + 3 lb + 8 lb + 17 lb + 32 lb + 16 lb + 13 lb = 146 lb 435 lb – 146 lb = 289 lb 11. 1,876 kW • h – 504 kW • h = 1,372 kW • h

  6. Page 6
    Read page 6 as text

    12. 14 + 75 = 89 804 – 60 = 744 744 – 89 = 655 13. 47 + 65 = 112 112 – 4 = 108 173 – 108 = 65 14. 10 + 12 + 20 + 20 = 62 70 – 62 = 8 15. 250 ft – 29 ft = 221 ft 16. 134 mi – 7 mi = 127 mi 17. 14 M Ω + 25 M Ω + 11 M Ω = 50 M Ω 60 M Ω – 50 M Ω = 10 M Ω 18. 189 cm – 101 cm = 88 cm UNIT 3 Multiplication of Whole Numbers 1. a. 3 × 16 = 48 b. 3 × 21 = 63 c. 3 × 11 = 33 d. 2 × 16 = 32 e. 2 × 21 = 42 f. 2 × 11 = 22 2. 3. 4. 5. No. (2,860 turns will not satisfy the required 2,900 turns.) 6. 16 × 50 W = 800 W 9 × 15 W = 135 W 12 × 25 W = 300 W 6 × 75 W = 450 W 4 × 100 W = 400 W 2,085 W 7. 10 × 150 W = 1,500 W 8 × 60 W = 480 W = 1,980 W 8. 34 boxes – 23 boxes = 11 boxes 88 holes + 161 holes = 249 holes 9. 2 ’s Guide 1. a. 48 b. 63 c. 33 d. 32 e. 42 f. 22 2. 324,000 r 3. 16,412 W 4. 20,855 turns 5. No 6. 2,085 W 7. 1,980 W 8. 249 holes 9. $19,600 10. 1,800 W 11. 1,940 W 12. $667 13. 220 circuits 14. 3,815 ft 7 people × $18 × 40 hours = $5,040 11 people × $20 × 40 hours = $8,800 9 people × $16 × 40 hours = $5,760 $5,040 + $8,800 + $5,760 = $19,600

  7. Page 7
    Read page 7 as text

    1. 47 staples 2. a. $3 b. $6 3. 5,124 W 4. 21 rolls 5. 5 outlets 6. 13 ft 7. 21 ft 8. 65 lb 9. 8 weeks 10. 10 coils 11. 36 lamps 12. 22 ft 13. $3 14. 4 ft 15. 1,320 W 16. $37.50 17. 30 ft 10. 2 A × 120 V = 240 W 4 A × 120 V = 480 W 6 A × 120 V = 720 W 3 A × 70 V = 210 W 3 A × 50 V = 150 W 240 W + 480 W + 720 W + 210 W + 150 W = 1,800 W 11. 23 × 40 W = 920 W 40 lamps – 23 lamps = 17 lamps 17 × 60 W = 1,020 W 920 W + 1,020 W = 1,940 W 12. 4 × $19 = $ 76 12 × $26 = $312 9 × $31 = $279 $76 + $312 + $279 = $667 13. 14. UNIT 4 Division of Whole Numbers ’s Guide 3 2 1

  8. Page 8
    Read page 8 as text

    4 ’s Guide UNIT 5 Combined Operations with Whole Numbers 1. 68 + 87 + 57 + 74 + 49 + 101 + 99 + 56 = 591 2. 120 ′ + 327 ′ + 637 ′ + 302 ′ + 500 ′ + 250 ′ + 140 ′ + 75 ′ + 789 ′ = 3,140 ′ 3. 30 lb + 120 lb + 37 lb + 125 lb + 103 lb + 33 lb + 210 lb + 40 lb = 698 lb 4. 2,569 W + 1,260 W + 1,639 W + 563 W + 790 W + 800 W + 1,137 W + 250 W + 500 W + 750 W + 1,830 W + 2,462 W = 14,550 W 5. 250 ′ + 71 ′ + 39 ′ + 110 ′ + 75 ′ + 87 ′ + 560 ′ = 1,192 ′ 6. 28 + 250 + 38 + 108 + 92 + 130 + 25 + 36 + 97 + 91 + 65 + 40 = 1,000 7. 498 ′ + 103 ′ + 78 ′ = 679 ′ 679 ′ – 27 ′ = 652 ′ 8. 500 – 127 = 373 373 + 61 = 434 9. $262 + $348 + $27 = $637 $875 – $637 = $238 10. 978 ft + 1,023 ft = 2,001 ft 2,500 ft – 2,001 ft = 499 ft 11. 70(100 W) + 38(75 W) + 10(60 W) + 20(40 W) = 11,250 W 12. 5($15) + 4($17) + 7($16) = $255 13. 14. 5,127 ft ÷ 250 ft/roll = 21 rolls 15. 16. 336 ft ÷ 28 = 12 ft 17. 18. 1,100 lbs ÷ 20 cartons = 55 lb/carton 19. 315 × 47 = 14,805 or 124 couplings 20. 12 ft + 1 ft + 1 ft = 14 ft 14 ft + 1.5 ft = 15.5 ft 250 ft 15.5 ft = 16.13 boxes plus one box at the beginning = 17 boxes 1. 591 2. 3,140 ft 3. 698 lb 4. 14,550 W 5. 1,192 ft 6. 1,000 7. 652 ft 8. 434 9. $238 10. 499 ft 11. 11,250 W 12. $255 13. 392 14. 21 15. 91 16. 12 ft 17. 4,000 ft 18. 55 lb 19. 124 couplings 20. 17 boxes 21. a. 550 boxes b. 75 boxes c. 400 outlets d. 250 switches e. 50 switches

  9. Page 9
    Read page 9 as text

    21. a. (16 + 6) × 25 = 550 single-gang boxes b. 3 × 25 = 75 two-gang boxes c. 16 × 25 = 400 outlets d. (6 + 2 + 2) × 25 = 250 single-pole switches e. 2 × 25 = 50 three-way switches SECTION 2 COMMON FRACTIONS UNIT 6 Addition of Common Fractions 1. a. 10 ⁄ 32 + 12 ⁄ 32 + 24 ⁄ 32 + 7 ⁄ 32 = 1 21 ⁄ 32 b. 2 ⁄ 32 + 24 ⁄ 32 + 28 ⁄ 32 + 31 ⁄ 32 = 2 21 ⁄ 32 c. 36 ⁄ 48 + 32 ⁄ 48 + 30 ⁄ 48 + 15 ⁄ 48 = 2 17 ⁄ 48 d. 14 ⁄ 20 + 16 ⁄ 20 + 15 ⁄ 20 + 6 ⁄ 20 = 2 11 ⁄ 20 2. 3 ⁄ 48 hp + 16 ⁄ 48 hp + 16 ⁄ 48 hp + 8 ⁄ 48 hp = 43 ⁄ 48 hp 3. 4 ⁄ 8 hp + 4 ⁄ 8 hp + 6 ⁄ 8 hp + 1 ⁄ 8 hp = 1 7 ⁄ 8 hp 4. 15 ⁄ 60 Ω + 50 ⁄ 60 Ω + 40 ⁄ 60 Ω + 20 ⁄ 60 Ω + 50 ⁄ 60 Ω + 36 ⁄ 60 Ω + 24 ⁄ 60 Ω + 12 ⁄ 60 Ω = 4 7 ⁄ 60 Ω 5. 1 ⁄ 64 in + 2 ⁄ 64 in + 1 ⁄ 64 in + 8 ⁄ 64 in = 3 ⁄ 16 in 6. 62 ⁄ 64 in + 1 ⁄ 64 in + 1 ⁄ 64 in = 1 in 7. 52 ⁄ 64 in + 5 ⁄ 64 in + 6 ⁄ 64 in + 8 ⁄ 64 in = 1 7 ⁄ 64 in. 8. 1 ⁄ 64 in + 8 ⁄ 64 in + 8 ⁄ 64 + 4 ⁄ 64 in + 48 ⁄ 64 in + 56 ⁄ 64 in = 1 61 ⁄ 64 in 9. 1 ⁄ 64 in + 1 ⁄ 64 + 1 ⁄ 64 in + 1 ⁄ 64 in + 4 ⁄ 64 in + 4 ⁄ 64 in + 8 ⁄ 64 in + 8 ⁄ 64 in = 7 ⁄ 16 in 10. 2 6 ⁄ 8 in + 5 ⁄ 8 in + 5 ⁄ 8 in = 4 in 11. 14 ⁄ 16 in + 14 ⁄ 16 in + 3 12 ⁄ 16 + 13 ⁄ 16 in = 6 5 ⁄ 16 in 12. 9 6 ⁄ 8 in + 2 1 ⁄ 8 + 3 2 ⁄ 8 in = 15 1 ⁄ 8 in 13. 4 ⁄ 64 in + 32 ⁄ 64 in + 8 ⁄ 64 in + 6 ⁄ 64 in + 3 ⁄ 64 in + 12 ⁄ 64 in = 1 1 ⁄ 64 in 14. 4 cuts for 5 pieces = 4 ⁄ 16 in 4 ⁄ 16 in + 7 14 ⁄ 16 in + 3 4 ⁄ 16 in + 6 8 ⁄ 16 in + 12 2 ⁄ 16 in + 24 3 ⁄ 16 in = 54 3 ⁄ 16 in 15. 4 cuts for 5 pieces = 4 ⁄ 8 in 8 ⁄ 16 in + 14 ⁄ 16 in + 3 2 ⁄ 16 in + 2 1 ⁄ 16 in + 12 4 ⁄ 16 in + 1 ⁄ 16 in = 18 7 ⁄ 8 in 16. 4 10 ⁄ 20 M Ω + 2 15 ⁄ 20 M Ω + 18 ⁄ 20 M Ω = 8 3 ⁄ 20 M Ω 17. 6 2 ⁄ 10 m + 8 9 ⁄ 10 m + 20 5 ⁄ 10 m + 8 3 ⁄ 10 m = 43 9 ⁄ 10 m UNIT 7 Subtraction of Common Fractions 1. 10 ⁄ 8 in – ( 1 ⁄ 8 in + 1 ⁄ 8 in) = 1 in 2. 32 ⁄ 64 in – 5 ⁄ 64 in = 27 ⁄ 64 in 3. 4 ⁄ 32 in + 3 ⁄ 32 in + 16 ⁄ 32 in = 23 ⁄ 32 in 48 ⁄ 32 in – 23 ⁄ 32 in = 25 ⁄ 32 in 4. 11 ⁄ 16 in + 2 ⁄ 16 in + 8 ⁄ 16 in 1 5 ⁄ 16 in. 1 8 ⁄ 16 in – 1 5 ⁄ 16 in = 3 ⁄ 16 in 5. 4 ⁄ 32 in + 1 ⁄ 32 in = 5 ⁄ 32 in 14 ⁄ 32 in – 5 ⁄ 32 in = 9 ⁄ 32 in 6. 4 ⁄ 1,000 in + 8 ⁄ 1,000 in = 12 ⁄ 1,000 in 875 ⁄ 1,000 in – 12 ⁄ 1,000 in = 863 ⁄ 1,000 in 7. 5 9 ⁄ 8 in – 3 6 ⁄ 8 in = 2 3 ⁄ 8 in 8. 12 ⁄ 1,000 in + 12 ⁄ 1,000 in + 50 ⁄ 1,000 in + 50 ⁄ 1,000 in = 124 ⁄ 1,000 in 500 ⁄ 1.000 in – 124 ⁄ 1,000 in = 376 ⁄ 1,000 in 9. 59 ⁄ 64 in – 58 ⁄ 64 = 1 ⁄ 64 in 10. 3 8 ⁄ 64 in – ( 3 ⁄ 64 in + 3 ⁄ 64 in) = 3 1 ⁄ 32 in 11. 2 68 ⁄ 64 in – ( 19 ⁄ 64 + 19 ⁄ 64 in) = 2 15 ⁄ 32 in 12. 1 56 ⁄ 64 in – 49 ⁄ 64 in = 1 7 ⁄ 64 in 13. 5 10 ⁄ 8 mA – 4 3 ⁄ 8 mA = 1 7 ⁄ 8 mA 14. 199 4 ⁄ 4 ft = 46 3 ⁄ 4 ft = 153 1 ⁄ 4 ft 1. a. 1 21 ⁄ 32 b. 2 21 ⁄ 32 c. 2 17 ⁄ 48 d. 2 11 ⁄ 20 2. 43 ⁄ 48 hp 3. 1 7 ⁄ 8 hp 4. 4 7 ⁄ 60 Ω 5. 3 ⁄ 16 in 6. 1 in 7 1 7 ⁄ 64 in 8. 1 61 ⁄ 64 in 9. 7 ⁄ 16 in 10. 4 in 11. 6 5 ⁄ 16 in 12. 15 1 ⁄ 8 in 13. 1 1 ⁄ 64 in 14. 54 3 ⁄ 16 in 15. 18 7 ⁄ 8 in 16. 8 3 ⁄ 20 M Ω 17. 43 9 ⁄ 10 m 1. 1 in 2. 27 ⁄ 64 in 3. 25 ⁄ 32 in 4. 3 ⁄ 16 in 5. 9 ⁄ 32 in 6. 863 ⁄ 1,000 in 7. 2 3 ⁄ 8 in 8. 376 ⁄ 1,000 in 9. 1 ⁄ 64 in 10. 3 1 ⁄ 32 in 11. 2 15 ⁄ 32 in 12. 1 7 ⁄ 64 in 13. 1 7 ⁄ 8 mA 14. 153 1 ⁄ 4 ft ’s Guide 5

  10. Page 10
    Read page 10 as text

    UNIT 8 Multiplication of Common Fractions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 6 ’s Guide 1. 7 9 ⁄ 16 lb 2. $380 3. 255 7 ⁄ 12 ft 4. 83 1 ⁄ 2 hp 5. 263 11 ⁄ 12 ft 6. 92 3 ⁄ 4 hr 7. 26 9 ⁄ 16 kW • h 8. 100 lb 9. 5 ⁄ 12 kg 10. 3 1 ⁄ 8 A

  11. Page 11
    Read page 11 as text

    UNIT 9 Division of Common Fractions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. UNIT 10 Combined Operations with Common Fractions 1. 6 ⁄ 48 hp + 36 ⁄ 48 hp + 3 ⁄ 48 hp + 24 ⁄ 48 hp + 16 ⁄ 48 hp + 24 ⁄ 48 hp + 16 ⁄ 48 hp + 12 ⁄ 48 hp = 2 41 ⁄ 48 hp 2. 1 ⁄ 64 ″ + 4 ⁄ 64 ″ + 2 ⁄ 64 ″ + 8 ⁄ 64 ″ = 15 ⁄ 64 ″ 3. 2( 1 ⁄ 16 ″ ) = 1 ⁄ 8 ″ 4 ⁄ 32 ″ + 4 ⁄ 32 ″ + 4 ⁄ 32 ″ + 1 ⁄ 32 ″ + 8 ⁄ 32 ″ = 21 ⁄ 32 ″ 4. 20 ⁄ 64 ″ + 40 ⁄ 64 ″ + 10 ⁄ 64 ″ + 5 ⁄ 64 ″ = 1 11 ⁄ 64 ″ 5. 4( 1 ⁄ 32 ″ ) + 2( 1 ⁄ 8 ″ ) + 2( 1 ⁄ 4 ″ ) = 7 ⁄ 8 ″ 6. 1 ⁄ 64 ″ + 2 ⁄ 64 ″ + 1 ⁄ 64 ″ + 2 ⁄ 64 ″ + 8 ⁄ 64 ″ + 12 ⁄ 64 ″ = 13 ⁄ 32 ″ 7. four saw cuts for five pieces 4 ( 1 ⁄ 64 ″ ) = 1 ⁄ 16 ″ 3 14 ⁄ 16 ″ + 5 8 ⁄ 16 ″ + 7 12 ⁄ 16 ″ + 9 2 ⁄ 16 ″ + 6 ⁄ 16 ″ + 1 ⁄ 16 ″ = 26 11 ⁄ 16 ″ 8. 9 8 ⁄ 16 ″ + 10 11 ⁄ 16 ″ + 6 9 ⁄ 16 ″ + 7 8 ⁄ 16 ″ + 1 10 ⁄ 16 ″ = 35 7 ⁄ 8 ″ 9. 4 ⁄ 8 ″ – 3 ⁄ 8 ″ = 1 ⁄ 8 ″ 1. 8 2. 14 3. 1 41 ⁄ 49 W 4. 8 5. 35 6. 180 7. 1 13 ⁄ 17 8. 30 9. $4 10. 73 1 ⁄ 3 m 1. 2 41 ⁄ 48 hp 2. 15 ⁄ 64 in 3. 21 ⁄ 32 in 4. 1 11 ⁄ 64 in 5. 7 ⁄ 8 in 6. 13 ⁄ 32 in 7. 26 11 ⁄ 16 in 8. 35 7 ⁄ 8 in 9. 1 ⁄ 8 in 2 1 1 24 27 4 240 1 4 27 960 27 35 15 27 35 0 t 2 n 1 t 0 n 240 1 f i f i × = ÷ = × = = = ’s Guide 7

  12. Page 12
    Read page 12 as text

    10. 6 ⁄ 1,000 ″ + 9 ⁄ 1,000 ″ = 15 ⁄ 1,000 ″ 875 ⁄ 1,000 ″ – 15 ⁄ 1,000 ″ = 860 ⁄ 1,000 ″ 11. 625 ⁄ 1,000 ″ – 2( 16 ⁄ 1,000 ″ + 62 ⁄ 1,000 ″ ) = 469 ⁄ 1,000 ″ 12. 58 ⁄ 64 ″ – 56 ⁄ 64 ″ = 1 ⁄ 32 ″ 13. 36(6 1 ⁄ 2 ′ ) + 9( 11 ⁄ 12 ′ ) + 4( 6 ⁄ 12 ′ ) + 5( 18 ⁄ 12 ′ ) 234 ′ + 8 1 ⁄ 4 ′ + 2 ′ + 7 1 ⁄ 2 = 251 3 ⁄ 4 ′ 14. 12( 5 ⁄ 8 lb) = 7 1 ⁄ 2 lb 15. 5(3 1 ⁄ 2 ′ ) + 8( 18 ⁄ 12 ′ ) = 6( 30 ⁄ 12 ′ ) 17 1 ⁄ 2 ′ + 12 ′ + 15 ′ = 44 1 ⁄ 2 ′ 16. 3(7 1 ⁄ 2 hp) + 4(1 1 ⁄ 2 hp) + 2( 1 ⁄ 4 hp) + 3( 1 ⁄ 2 hp) 22 1 ⁄ 2 hr + 6 hp + 1 ⁄ 2 hp + 1 1 ⁄ 2 hp = 30 1 ⁄ 2 hp 17. 18. 9 pieces × 2 = 18 pieces 19. 20. 21. 22. 37 1 ⁄ 2 hr ÷ 7 1 ⁄ 2 hr = 5 23. 24. 25. 26. 27. 28. 8 ’s Guide 10. 860 ⁄ 1,000 in 11. 469 ⁄ 1,000 in 12. 1 ⁄ 32 in 13. 251 3 ⁄ 4 ′ 14. 7 1 ⁄ 2 lb 15. 44 1 ⁄ 2 ft 16. 30 1 ⁄ 2 hp 17. $960 18. 18 19. $3 20. 35 21. 1,193 41 ⁄ 60 r 22. 5 23. 30 24. 1 1 ⁄ 2 kW 25. 5,000 ft 26. 6 2 ⁄ 3 or 6 whole pieces 27. 49 28. 65 hr 10 1 3 2 10 1 2 3 6 2 3 ÷ = × = / = 6 whole pieces

  13. Page 13
    Read page 13 as text

    1. $286.26 2. 0.463 in 3. $60.05 4. 3.046 A 5. $82.94 6. 0.026 in 7. $122.89 8. $77.16 9. 9.724 A 10. $500.98 11. 2.312 in 12. 1.8745 in 13. 7 in 14. 2.0222 in 15. 2.6875 in 16. 4.7575 cm 17. 4.635 cm 18. 900 ft 1. 1,067.35 kW • h 2. 215.74 V 3. 9.12 lb 4. 1.154 Ω 5. 0.6255 in 6. 0.75 A 7. 3.375 in 8. 0.0025 in 9. 1.25 in 10. 2.0625 in 11. 1.0625 in 12. 0.375 in 13. 1.0625 in 14. 0.03992 in 15. larger 16. 0.01489 in 17. #12 18. 0.00025 in 19. 0.0035 in 20. 1.187 A SECTION 3 DECIMAL FRACTIONS UNIT 11 Addition of Decimal Fractions 1. $205.50 + $48.38 + $32.28 = $286.26 2. 0.007 in + 0.125 in + 0.140 in + 0.187 in + 0.004 in = 0.463 in 3. $1.50 + $0.65 + $1.98 + $55.92 = $60.05 4. 0.208 A + 0.834 A + 0.334 A + 1.670 A = 3.046 A 5. $3.98 + $1.12 + $0.49 + $0.57 + $0.38 + $76.40 = $82.94 6. 0.002 in + 0.006 in + 0.010 in + 0.008 in = 0.026 in 7. $1.43 + $0.97 + $1.89 + $118.60 = $122.89 8. $32.65 + $12.56 + $24.45 + $7.50 = $77.16 9. 0.834 A + 2.97 A + 4.17 A + 1.75 A = 9.724 A 10. $45.50 + $165.50 + $35.20 + $42.75 + $65.38 + $9.85 + $45.60 + $45.60 + $45.60 = $500.98 11. 0.375 in + 0.875 in + 1.062 in = 2.312 in 12. 0.3125 in + 0.500 in + 1.062 in = 1.8745 in 13. 0.75 in + 0.500 in + 2.625 in + 3.125 in = 7 in 14. 0.923 in + 1.0992 in = 2.0222 in 15. 0.9375 in + 0.875 in + 0.875 in = 2.6875 in 16. 4.75 cm + 0.0075 cm = 4.7575 cm 17. 4.035 cm + 0.3 cm + 0.3 cm = 4.635 cm 18. 22.5 ft + 8 ft + 30.25 ft + 22.5 ft + 816.75 ft = 900 ft UNIT 12 Subtraction of Decimal Fractions 1. 6,336.71 kW • h – 5,269 kW • h = 1,067.35 kW • h 2. 219.7 V – 3.96 V = 215.74 V 3. 11.01 lb – 1.89 lb = 9.12 lb 4. 1.25 Ω – 0.096 Ω = 1.154 Ω 5. 1.9375 in – 1.312 in = 0.6255 in 6. 1.87 A – 1.12 A = 0.75 A 7. 3.9375 in – (0.28125 in + 0.28125 in) = 3.375 in 8. 0.037 in – 0.0345 in = 0.0025 in 9. 1.875 in – (0.3125 in + 0.3125 in) = 1.25 in 10. 3.1875 in – (0.5625 in + 0.5625 in) = 2.0625 in 11. 2.1325 in – (0.375 in + 0.375 in + 0.25 in + 0.25 in) = 1.0625 in 12. 3.000 in – (1.750 in + 0.875 in) = 0.375 in 13. 3.375 in – (0.250 in + 2.0625 in) = 1.0625 in 14. 0.09074 in – 0.05082 in = 0.03992 in 15. 0.10190 in is larger than 0.08081 in 16. 0.07196 in – 0.05707 in = 0.01489 in 17. (#12) 0.08081 in – 0.079 in = 0.00181 in (#13) 0.079 in – 0.07196 in = 0.00704 in It is closer to #12 18. 0.0025 in – 0.00225 in = 0.00025 in 19. 1.000 in – 0.9965 in = 0.0035 in 20. 1.76 A – 0.573 A = 1.187 A ’s Guide 9

  14. Page 14
    Read page 14 as text

    UNIT 13 Multiplication of Decimal Fractions 1. 2. 424.32 lb + 37.5 lb = 461.82 lb 3. 3.1416 × 18.5 in = 58.12 in 4. 3.1416 × 20 in = 62.832 in 94.248 ft + 1.5 ft = 95.748 ft 5. 3.1416 × 2.375 in = 7.461 in 6. 7. 8. 9. 8,930 kW • h – 8,749 kW • h = 181 kW • h 10. 11. 12. 13. 14. 3.1416 × 5 in = 15.708 in 3.1416 × 30 in = 94.248 in 94.248 in – 15.708 in = 78.54 in 15. 3.1416 × 6 in = 18.8496 in 16. 17. 18. 10 ’s Guide 1. $0.171 2. 461.82 lb 3. 58.12 in 4. 95.748 ft 5. 7.461 in 6. 0.7065 lb 7. 15.3615 lb 8. 26 Ω 9. $63.35 10. $290.63 11. $1,194.03 12. $962.50 13. $4,149.18 14. 78.54 in 15. 31.416 ft/min 16. $107.81 17. 37.125 V 18. $16,425.45

  15. Page 15
    Read page 15 as text

    ’s Guide 11 UNIT 14 Division of Decimal Fractions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 1. $1.066 2. 1.94 A 3. 0.00256 Ω 4. $22.50 5. $0.86 6. $84 7. 2.40625 in 8. $3.113 9. 180.82 W 10. 14.0625 V 11. $188.58 12. 1.375 V 13. 1,676.75 lb 14. $1.22

  16. Page 16
    Read page 16 as text

    12 ’s Guide UNIT 15 Decimal and Common Fraction Equivalents 1. 1 3 ⁄ 8 in = 1.375 in 1 ⁄ 16 in = 0.0625 in 1.375 in – 0.0625 in = 1.3125 in 2. 1 ⁄ 4 in = 0.25 in 0.25 in – 0.010 in = 0.24 in 3. 3 3 ⁄ 4 lb = 3.75 lb 29.14 lb – 3.75 lb = 25.39 lb 4. 3 ⁄ 32 in = 0.09375 in 5. 1 ⁄ 8 in = 0.125 in 0.125 in + 0.006 in = 0.131 in 6. 1 ⁄ 32 in = 0.03125 in 0.4365 in + 0.03125 in = 0.46775 in 7. 1 625 ⁄ 1,000 = 1 5 ⁄ 8 in 8. 1 1 ⁄ 4 in = 1.25 in 1.25 in – 0.008 in = 1.242 in 1.242 in + 2(0.002 in) = 1.246 in 9. 1.375 in = 1 3 ⁄ 8 in 1.250 in = 1 1 ⁄ 4 in 1 3 ⁄ 8 in – 1 2 ⁄ 8 in = 1 ⁄ 8 in 1. 1.3125 in 2. 0.24 in 3. 25.39 lb 4. 0.09375 in 5. 0.131 in 6. 0.46775 in 7. 1 5 ⁄ 8 in 8. 1.246 in 9. 1 ⁄ 8 in 10. 1.49875 in by 0.74875 in 11. 1.753 in 12. 1.995 in by 0.610 in 13. 0.258 in 14. 1 ⁄ 16 15. 0.4325 in by 0.622 in 1. 0.535 in 2. $67.80 3. 2.171 A 4. 0.09 in 5. 2.2175 in 6. 2.3375 in 7. 3.86 in 8. 1.5222 in 9. 3.555 in 10. 2.5125 in 11. 8.375 lb 12. 0.28125 in 13. 1.5 A 14. 72.39 lb 15. $40.24 16. 37.6992 in 17. $24.50 18. 26.55 lb 19. 7.04 in 20. 0.125 in 10. 1 15 ⁄ 32 in = 1.46875 in 1.46875 in + 2(0.015 in) = 1.49875 in 23 ⁄ 32 in = 0.71875 in 0.71875 + 2(0.015 in) = 0.74875 in 11. 1 3 ⁄ 4 in = 1.75 in 1.75 in + 0.003 in = 1.753 in 12. 2 in – 0.005 in = 1.995 in 0.625 in – 0.015 in = 0.610 in 13. 2 1 ⁄ 8 in = 2.125 in 2.125 in – 1.609 in = 0.516 in 14. 625 ⁄ 10,000 in = 1 ⁄ 16 in 15. 7 ⁄ 16 in = 0.4375 in 5 ⁄ 8 in = 0.625 in W = 0.4375 – 0.005 in = 0.4325 in H = 0.625 – 0.003 in = 0.622 in UNIT 16 Combined Operations with Decimal Fractions 1. 0.065 ″ + 0.150 ″ + 0.130 ″ + 0.185 ″ + 0.005 ″ = 0.535 ″ 2. $0.65 + $0.98 + $1.17 + $65 = $67.80 3. 0.834 A + 0.437 A + 0.375 A + 0.225 A + 0.175A + 0.125 A = 2.171 A 4. 0.003 ″ + 0.065 ″ + 0.015 ″ + 0.007 ″ = 0.09 ″ 5. 0.305 ″ + 0.870 ″ + 1.0425 ″ = 2.2175 ″ 6. 2(0.675 ″ ) + 0.9875 ″ = 2.3375 ″ 7. 7.025 ″ – 3.165 ″ = 3.86 ″ 8. 2.0222 ″ – 0.500 ″ = 1.5222 ″ 9. 3.860 ″ – 0.305 ″ = 3.555 ″ 10. 3.860 ″ – (0.305 ″ + 1.0425 ″ ) = 2.5125 ″ 11. 15.625 lb – 7.25 lb = 8.375 lb 12. (3.9375 ″ – 3.375 ″ ) ÷ 2 = 0.28125 ″ 13. 8.75 A – 7.25 A = 1.5 A 14. 7(9.36 lb) + 6.87 lb = 72.39 lb 15. 16. 3.1416(12 ″ ) = 37.6992 ″ 17. $980 ÷ 40 hr = $24.50 18. 19. 56 ″ – 5(2.75 ″ ) = 42.25 ″ 42.25 ″ ÷ 6 = 7.04 ″ 20. (1.825 ″ – 1.575 ″ ) ÷ 2 = 0.125 ″

79 more pages in the full document

Unlock it once and it stays in your library, ready to chat with or turn into flashcards.

Unlock the full document

More Mathematics study materials

See all

Study this document with CramX

Once it is in your library, every tool can work from it.