| Introduction |
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1 | (6) |
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1 | (1) |
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Conventions Used in This Book |
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2 | (1) |
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2 | (1) |
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3 | (1) |
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How This Book Is Organized |
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3 | (2) |
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Part I Basic Math, Basic Tools |
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3 | (1) |
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Part II Making Non-Basic Math Simple and Easy |
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4 | (1) |
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Part III Basic Algebra, Geometry, and Trigonometry |
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4 | (1) |
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Part IV Math for the Business of Your Work |
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4 | (1) |
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5 | (1) |
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5 | (1) |
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6 | (1) |
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Part I Basic Math, Basic Tools |
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7 | (104) |
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Chapter 1 Math that Works as Hard as You Do |
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9 | (8) |
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Discovering the Benefits of a Technical Math Book |
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10 | (1) |
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The Basics Are Basically Basic |
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10 | (1) |
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Meeting Measurement and Conversions and Studying Story Problem Strategies |
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11 | (1) |
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12 | (1) |
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Building Your Knowledge of the Branches of Math |
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13 | (1) |
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Life Math Isn't Classroom Math |
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14 | (3) |
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Chapter 2 Discovering Technical Math and the Tools of the Trades |
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17 | (14) |
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18 | (2) |
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"I don't need to use it." |
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18 | (1) |
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19 | (1) |
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19 | (1) |
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Remember: Somebody Else Already Did the Hard Work |
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20 | (1) |
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The Trades, They Are A-Changing |
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21 | (1) |
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Math Devices That Can Help You Do Your Job |
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22 | (9) |
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Pocket (or phone, or computer) calculators |
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23 | (2) |
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25 | (1) |
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Thermometers and sphygmomanometers |
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26 | (1) |
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Micrometers, calipers, and gauges |
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27 | (1) |
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28 | (1) |
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29 | (1) |
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30 | (1) |
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Chapter 3 Zero to One and Beyond |
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31 | (12) |
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Looking at the Numbers that Count: Natural Numbers |
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32 | (3) |
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Integers: Counting numbers with extras |
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32 | (1) |
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33 | (2) |
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Going Backward: Negative Numbers |
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35 | (1) |
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Working with negative numbers |
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35 | (1) |
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Traveling down the number line |
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35 | (1) |
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Getting Between the Integers: Fractions, Decimals, and More |
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36 | (2) |
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36 | (1) |
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The rational numbers (and their irrational friends) |
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37 | (1) |
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Taking a Look at the Lesser-Known Numbers |
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38 | (2) |
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38 | (1) |
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39 | (1) |
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39 | (1) |
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39 | (1) |
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Handling Numerical Story Problems |
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40 | (3) |
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Example: Automotive tech---a slippery task |
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40 | (2) |
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Example: Getting the order right |
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42 | (1) |
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Chapter 4 Easy Come, Easy Go: Addition and Subtraction |
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43 | (14) |
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44 | (5) |
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Adding numbers in a column |
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45 | (1) |
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46 | (1) |
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46 | (1) |
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47 | (1) |
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48 | (1) |
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Subtraction: Just Another Kind of Addition |
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49 | (5) |
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Subtracting a positive is the same as adding a negative |
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50 | (1) |
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Subtracting negative numbers |
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50 | (1) |
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50 | (1) |
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Subtracting multiple items |
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50 | (2) |
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Borrowing when you have to |
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52 | (1) |
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53 | (1) |
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54 | (1) |
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Example: Sheep on Trucking |
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55 | (2) |
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Chapter 5 Multiplication and Division: Everybody Needs Them |
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57 | (20) |
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58 | (3) |
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Mastering multiplication terminology |
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58 | (1) |
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Memorizing multiplication tables: Faster than a calculator |
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59 | (2) |
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Doing Simple Multiplication Like Your Grandfather Did It |
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61 | (4) |
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65 | (1) |
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Easy Street: Multiplying by 0, 1, and 10 |
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65 | (2) |
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A zero pulse: Multiplying by 0 |
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66 | (1) |
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One is the loneliest number: Multiplying by 1 |
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66 | (1) |
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66 | (1) |
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67 | (7) |
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Dealing with division definitions |
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68 | (1) |
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Dividing by using the inverse |
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69 | (1) |
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69 | (2) |
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71 | (2) |
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73 | (1) |
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Shortcuts: Dividing into 0 and by 0, 1, 10, and the dividend |
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73 | (1) |
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Example: In the Machine Shop |
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74 | (3) |
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Chapter 6 Measurement and Conversion |
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77 | (18) |
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Main (And Not So Main) Systems of Measurement |
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77 | (8) |
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78 | (1) |
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79 | (2) |
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The imperial system, or the modern English system |
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81 | (1) |
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Troy weight: Just for bullets and bullion |
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82 | (1) |
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Apothecaries' system: Not a grain of value any more |
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82 | (1) |
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Other legitimate but specialized measurements |
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83 | (2) |
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Converting Length, Weight, and Volume |
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85 | (7) |
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85 | (1) |
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American units to American units |
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86 | (3) |
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American to metric and back again |
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89 | (2) |
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Converting metric to metric |
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91 | (1) |
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Example: Don't Get Bored by Board Feet |
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92 | (1) |
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Example: Getting the Dosage Right |
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93 | (2) |
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Chapter 7 Slaying the Story Problem Dragon |
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95 | (16) |
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Removing the Mystery from Story Problems |
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96 | (4) |
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How to approach a story problem: A real-life example |
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96 | (2) |
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The secret formula inside every story problem |
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98 | (2) |
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The Step-by-Step Story Problem Solution |
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100 | (7) |
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100 | (1) |
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101 | (1) |
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3 Figure out exactly what the problem is asking for |
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102 | (1) |
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4 Eliminate excess information |
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102 | (1) |
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5 See what information is missing |
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103 | (1) |
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103 | (1) |
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104 | (1) |
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8 Convert information supplied into information needed |
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104 | (1) |
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105 | (1) |
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10 Find or develop a formula |
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105 | (1) |
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106 | (1) |
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12 Do the math and check your answer to see whether it's reasonable |
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106 | (1) |
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107 | (1) |
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Example: And Now, from the Banks of the Nile |
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108 | (3) |
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Part II Making Non-Basic Math Simple and Easy |
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111 | (68) |
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Chapter 8 Fun with Fractions |
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113 | (22) |
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Meeting the Numerator and Denominator: Best Friends Forever |
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114 | (5) |
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Taking a look at numerators |
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115 | (3) |
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118 | (1) |
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Dealing with special cases |
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118 | (1) |
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Tackling the Different Types of Fractions |
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119 | (4) |
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Proper and improper fractions |
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120 | (1) |
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120 | (2) |
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122 | (1) |
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Performing Math Operations with Fractions |
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123 | (6) |
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124 | (1) |
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125 | (1) |
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126 | (2) |
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128 | (1) |
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Example: Dividing and Selling a Cheesecake |
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129 | (2) |
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Pricing your cake wholesale |
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130 | (1) |
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130 | (1) |
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Example: Cutting Fire Stops for Framing Carpentry |
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131 | (4) |
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Chapter 9 Decimals: They Have Their Place |
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135 | (18) |
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Diving into Decimal Basics |
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136 | (4) |
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Pointing out decimal points and places |
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137 | (1) |
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Precision, pennies, and parsing |
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138 | (2) |
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The Four Ops: Working with Decimals in Four Math Operations |
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140 | (5) |
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140 | (1) |
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Subtraction gives satisfaction |
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141 | (1) |
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142 | (2) |
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Division is an important decision |
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144 | (1) |
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145 | (2) |
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Converting fractions to decimals |
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145 | (1) |
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Converting decimals to fractions |
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146 | (1) |
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Round, Round, Get Around, I Get Around |
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147 | (1) |
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Making Change and Charging Sales Tax |
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148 | (2) |
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148 | (1) |
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149 | (1) |
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Example: A Journey to Office Supply Heaven |
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150 | (3) |
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Chapter 10 Playing with Percentages |
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153 | (14) |
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Pinpointing Percentages: Half a Glass Is Still 50 Percent Full |
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153 | (3) |
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A percentage is a fraction, but the denominator never changes |
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154 | (2) |
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A percentage is a ratio, too |
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156 | (1) |
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Percentages Are Good Converts |
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156 | (3) |
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Converting percentages to decimals |
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156 | (1) |
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Turning decimals into percentages |
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157 | (1) |
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Going from percentages to fractions |
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158 | (1) |
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Transforming fractions to percentages |
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158 | (1) |
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Calculating Percentage Increases and Decreases |
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159 | (1) |
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Percentage increases: You get 10 percent more! |
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159 | (1) |
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Percentage decreases: You save 10 percent! |
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159 | (1) |
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The 100 percent increase: You must be 100 percent satisfied! |
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160 | (1) |
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Dividing a Pie Using Percentages |
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160 | (3) |
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Example: The World of Pralines |
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163 | (2) |
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Example: Oily to Bed and Oily to Rise |
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165 | (2) |
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Chapter 11 Tackling Exponents and Square Roots |
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167 | (12) |
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Exponentiation: The Power of Powers |
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168 | (7) |
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168 | (1) |
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169 | (1) |
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Different faces of special bases |
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170 | (3) |
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173 | (2) |
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Getting Back to Your (Square) Roots |
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175 | (2) |
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Square roots the hard way |
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176 | (1) |
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Square roots the easy way |
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176 | (1) |
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Square roots the effortless way |
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177 | (1) |
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Example: Finding the Bytes On a Disk |
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177 | (2) |
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Part III Basic Algebra, Geometry, and Trigonometry |
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179 | (80) |
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Chapter 12 Algebra and the Mystery of X |
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181 | (18) |
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Variables: Letters Represent Numbers, but the Math Is the Same |
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182 | (3) |
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182 | (1) |
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182 | (1) |
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183 | (1) |
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Getting a handle on equations |
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183 | (1) |
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184 | (1) |
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Variable Relationships: X and Her Friends |
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185 | (2) |
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Best friends forever: The constant and the variable |
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185 | (2) |
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Simplifying variables: Variables of a feather flock together |
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187 | (1) |
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Math Operations with Variables |
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187 | (12) |
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188 | (2) |
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190 | (1) |
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191 | (2) |
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193 | (2) |
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Example: How Many Oranges Are In That Orange Juice? |
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195 | (2) |
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Example: Medications In the Pillbox |
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197 | (2) |
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Chapter 13 Formulas (Secret and Otherwise) |
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199 | (16) |
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Following the Formula for Building a Formula |
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200 | (3) |
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201 | (1) |
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201 | (1) |
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Property D Distributivity |
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202 | (1) |
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Working from a Formula to a Solution |
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203 | (5) |
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Applying the same operation on both sides of the equal sign |
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204 | (3) |
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Converting units with a special multiplication rule |
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207 | (1) |
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Calculating Speed, Time, and Distance: Three Results from One Formula |
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208 | (3) |
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209 | (1) |
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209 | (1) |
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210 | (1) |
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Example: Cement Masonry---Pouring City Sidewalks |
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211 | (1) |
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Example: Lunch Time---Buying Burgers and Fries |
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212 | (3) |
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Chapter 14 Quick-and-Easy Geometry: The Compressed Version |
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215 | (16) |
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Looking at Geometry's Basic Parts |
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216 | (5) |
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No snakes on this plane: Cartesian coordinates |
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217 | (1) |
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218 | (1) |
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219 | (1) |
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What's your angle?: Acute, obtuse, and right angles |
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219 | (2) |
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Examining Simple Geometric Shapes |
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221 | (4) |
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The square and the rectangle |
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221 | (1) |
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The triangle: Just because it isn't a right triangle doesn't mean it's wrong |
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222 | (1) |
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223 | (1) |
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224 | (1) |
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Learn It Once and Forget It: The Pythagorean Theorem |
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225 | (2) |
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Example: Don't Fence Me In |
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227 | (1) |
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Example: The Pen is Mightier Than the Paddock |
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228 | (3) |
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Chapter 15 Calculating Areas, Perimeters, and Volumes |
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231 | (18) |
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Area: All That Space in the Middle |
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231 | (9) |
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Calculating the area of rectangles and squares |
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232 | (2) |
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Figuring the area of a parallelogram (a bent-over long rectangle) |
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234 | (1) |
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Determining the area of a trapezoid (a trapewhat?) |
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235 | (2) |
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Calculating the area of a triangle |
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237 | (1) |
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Computing the area of a circle |
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238 | (2) |
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Perimeters: Along the Edges |
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240 | (2) |
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Understanding perimeters: What goes around comes around |
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240 | (1) |
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Calculating the perimeters of polygons |
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241 | (1) |
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A perimeter by any other name: Finding a circle's circumference |
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242 | (1) |
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Volume: The Third Dimension |
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242 | (4) |
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Getting a handle on American volume units |
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243 | (1) |
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Calculating the volume of cuboids (also known as boxes) |
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244 | (1) |
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Finding the volumes of spheres and cylinders |
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245 | (1) |
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Example: Bore and Stroke for the Auto Guy |
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246 | (1) |
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Example: Yard Area, the Landscaper's Nightmare |
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247 | (2) |
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Chapter 16 Trigonometry, the "Mystery Math" |
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249 | (10) |
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Handling Triangles: More Angles than a Cornfield Maze |
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249 | (2) |
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By Their Sines Shall Ye Know Them: Using Trigonometric Functions |
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251 | (3) |
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Sine, cosine, and tangent: Three great relationships |
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252 | (1) |
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Cosecant, secant, and cotangent: Three so-so relationships |
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253 | (1) |
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253 | (1) |
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Example: Surveying a River |
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254 | (1) |
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Example: Locating a Wildfire |
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255 | (4) |
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Part IV Math for the Business of Your Work |
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259 | (50) |
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Chapter 17 Graphs are Novel and Charts Are Off the Chart |
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261 | (18) |
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Defining Charts and Graphs and Their Advantages |
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261 | (1) |
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Paying Tables Their Proper Respect |
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262 | (1) |
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Introducing the Three Most Important Types of Charts |
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263 | (4) |
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264 | (1) |
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Sidling up to the bar graph |
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264 | (2) |
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Getting a piece of the pie chart |
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266 | (1) |
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Reading Charts and Graphs (And Recognizing a Bad One) |
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267 | (3) |
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For a start, the parts of a chart |
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268 | (1) |
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The good, the bad, the ugly, and the inaccurate |
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269 | (1) |
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270 | (3) |
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271 | (1) |
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272 | (1) |
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Putting together pie charts |
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272 | (1) |
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Example: Tracking Weight and Height In a Pediatric Practice |
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273 | (2) |
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Example: Cost of Materials In Residential Construction |
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275 | (4) |
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Chapter 18 Hold on a Second: Time Math |
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279 | (18) |
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Dividing Time into Hours, Minutes, and Seconds |
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279 | (2) |
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There's a Time for Us, Somewhere a Time for Us: Time Notation Systems |
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281 | (6) |
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282 | (1) |
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282 | (1) |
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Greenwich mean time (GMT) |
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283 | (1) |
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284 | (1) |
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285 | (1) |
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286 | (1) |
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287 | (3) |
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Going from minutes to seconds and back again |
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288 | (1) |
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Changing hours to minutes and back again |
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289 | (1) |
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Working with time as a fraction |
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289 | (1) |
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Time Math: Calculating Time |
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290 | (4) |
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291 | (1) |
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292 | (1) |
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292 | (1) |
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293 | (1) |
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Example: The Timesheet for All Trades |
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294 | (1) |
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295 | (2) |
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Chapter 19 Math for Computer Techs and Users |
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297 | (12) |
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Try a Bit of This Byte: Understanding Basic Computer Terms |
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298 | (2) |
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The Sum of the (Computer) Parts, and the Numbers Involved |
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300 | (7) |
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301 | (1) |
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302 | (1) |
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Rama lama ding dong: RAM memory |
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303 | (1) |
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Speed out of the gate: Processor rate |
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303 | (1) |
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The Internet is running on "slow" today: Network speed |
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304 | (2) |
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Burn, baby, burn: DVD write speed |
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306 | (1) |
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Example: Total Capacity of a Mass Storage System |
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307 | (2) |
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309 | (24) |
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Chapter 20 Ten Tips for Solving Any Math Problem |
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311 | (6) |
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Figure Out Exactly What the Problem Asks For |
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311 | (1) |
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312 | (1) |
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Convert Supplied Information into Needed Information |
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312 | (1) |
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Determine What Information You're Missing |
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313 | (1) |
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Eliminate Excess Information |
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313 | (1) |
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314 | (1) |
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Find or Develop a Formula |
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314 | (1) |
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315 | (1) |
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315 | (1) |
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Check Your Answer to See whether It's Reasonable |
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316 | (1) |
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Chapter 21 Ten Formulas You'll Use Most Often |
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317 | (8) |
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Area of a Square, Rectangle, or Triangle |
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317 | (1) |
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318 | (1) |
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Feet to Meters and Inches to Centimeters |
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318 | (1) |
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Miles to Kilometers and Kilometers to Miles |
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319 | (1) |
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Pounds to Kilograms and Ounces to Grams |
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320 | (1) |
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Gallons to Liters and Liters to Gallons |
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320 | (1) |
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321 | (1) |
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Hours to Minutes and Minutes to Hours |
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321 | (1) |
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Distance, Time, and Speed |
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322 | (1) |
|
|
|
322 | (3) |
|
Chapter 22 Ten Ways to Avoid Everyday Math Stress |
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|
325 | (8) |
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Get Help with Your Checkbook |
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|
325 | (1) |
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Use Grocery Shopping to Build Confidence |
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|
326 | (1) |
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Practice Reading Analog Clocks |
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|
327 | (1) |
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|
327 | (1) |
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Memorize Math Signs, Symbols, and Formulas |
|
|
328 | (1) |
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Make the Multiplication Table a Mantra |
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|
328 | (1) |
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Use Paper Maps and Practice Navigating |
|
|
329 | (1) |
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Try to Estimate Distances |
|
|
329 | (1) |
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|
|
330 | (1) |
|
Integrate Math with Nonmath Skills |
|
|
331 | (2) |
| Glossary |
|
333 | (12) |
| Index |
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345 | |
Biežāk uzdotie jautājumi par e-grāmatām