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256 Answers Everyday Math (page 130) 1. $8.80 $4.40 $13.20 2. $5.30 $2.65 $7.95 3. $74 2 2 $37 2 $18.50 4. Since 70 10 7, seven years 5. Since 70 6 11.67, it will take twelve years to double 6. Since 110 7 15.714, it will take sixteen years to triple 7. Since 70 7 10, it will take ten years to double, then another ten years to double again.Thus it will take twenty years to quadruple. $100,000(0.0075)(1.0075) 120 $750(2.451) 8. M $1267 (1.00333) 120 1 1.451 $30,000(0.004167)(1.004167) 42 $125(1.22) 9. M $693 (1.004167) 42 1 0.22 CHAPTER 6: MATH FOR THE BOARD Columns <strong>of</strong> Numbers (page 149) 1. 672 6 2. $ 21.56 5 1,367 8 19.38 3 107 8 211.02 6 7,845 6 9.16 7 358 7 26.17 7 210 3 1.43 3 916 7 $288.72 9 11,475 9 Subtracting on Paper (page 150) 1. 75,423 3 2. 876,452 5 46,298 2 593,876 2 29,125 1 282,576 3 3. 3,249,202 4 4. 45,394,358 5 2,903,445 9 36,472,659 6 345,757 4 8,921,699 8
Square Root Guesstimation (page 150) 1. 3.87 2. 15.000 0 3 2 9 600 68 8 544 5600 767 7 5369 3. 20.95 4. 439.20 00 2 2 4 039 40 0 0 3920 409 9 3681 23900 4480 0 20925 1 9 exactly 361 1 2 1 261 29 9 261 0 22.40 502.00 00 2 2 4 102 42 2 84 1800 444 4 1776 2400 4480 0 0 Answers 257 Pencil-and-Paper Multiplication (page 150) 1. 54 9 2. 273 3 37 1 217 1 1998 9 59,241 3 3. 725 5 4. 609 6 441,525 3 3,309 6 2,868 6 9,490,212 9 5. 52,819 7 6. 3,923,759 3 47,820 3 2,674,093 4 2,525,804,580 3 10,492,496,475,587 3
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This book has been optimized for vi
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SECRE+S OF MEN+AL MA+H The Mathemag
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I dedicate this book to my wife, De
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Contents Foreword by Bill Nye (the
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Foreword by Bill Nye (the Science G
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Foreword xiii Well, actually, I hop
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Foreword xv there are also an infin
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xviii Foreword math nut. Immunizati
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xx Prologue in on his secrets of
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xxii Prologue where he learned thes
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xxiv Introduction Too often, math i
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2 Secrets of Mental Math 35 2 What
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4 Secrets of Mental Math Absolutely
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6 Secrets of Mental Math Similarly,
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8 Secrets of Mental Math Although I
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10 Secrets of Mental Math Exception
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12 Secrets of Mental Math math in y
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16 Secrets of Mental Math 858 7 re
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18 Secrets of Mental Math lot easie
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20 Secrets of Mental Math Carl Frie
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22 Secrets of Mental Math Of course
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24 Secrets of Mental Math 958 417
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26 Secrets of Mental Math to 10. We
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28 Secrets of Mental Math By roundi
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30 Secrets of Mental Math mentally,
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32 Secrets of Mental Math 48 40 8
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34 Secrets of Mental Math problems
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36 Secrets of Mental Math 3-BY-1 MU
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38 Secrets of Mental Math sometimes
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40 Secrets of Mental Math 376 (300
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44 Secrets of Mental Math BE THERE
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48 Secrets of Mental Math other squ
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50 Secrets of Mental Math WHY THESE
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52 Secrets of Mental Math Similarly
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54 Secrets of Mental Math Gardner o
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56 Secrets of Mental Math same digi
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New and Improved Products: Intermed
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64 Secrets of Mental Math To see ho
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66 Secrets of Mental Math Remember
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68 Secrets of Mental Math 67: 67 3
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70 Secrets of Mental Math EXERCISE:
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72 Secrets of Mental Math Rounding
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76 Secrets of Mental Math 13 1,000
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78 Secrets of Mental Math Chapter 8
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Chapter 4 Divide and Conquer: Menta
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94 Secrets of Mental Math way is to
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96 Secrets of Mental Math 6 7 8 .
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98 Secrets of Mental Math You can e
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100 Secrets of Mental Math A number
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102 Secrets of Mental Math Divisibi
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104 Secrets of Mental Math It is al
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106 Secrets of Mental Math So, To a
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Chapter 5 Good Enough: The Art of
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110 Secrets of Mental Math Notice t
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112 Secrets of Mental Math 8,367 5
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114 Secrets of Mental Math onds doe
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116 Secrets of Mental Math We obser
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118 Secrets of Mental Math Divide:
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120 Secrets of Mental Math roots. I
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122 Secrets of Mental Math MORE TIP
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124 Secrets of Mental Math I will s
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126 Secrets of Mental Math number o
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128 Secrets of Mental Math and sinc
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130 Secrets of Mental Math EXERCISE
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132 Secrets of Mental Math COLUMNS
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134 Secrets of Mental Math As illus
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136 Secrets of Mental Math 4. 3 5 8
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138 Secrets of Mental Math Next, we
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140 Secrets of Mental Math You have
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144 Secrets of Mental Math Step 4.
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146 Secrets of Mental Math Shakunta
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148 Secrets of Mental Math Here’s
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150 Secrets of Mental Math EXERCISE
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152 Secrets of Mental Math work by
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154 Secrets of Mental Math words: m
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156 Secrets of Mental Math 93: bum,
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166 Secrets of Mental Math Once you
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168 Secrets of Mental Math Thomas F
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170 Secrets of Mental Math numbers
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172 Secrets of Mental Math Then do
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180 Secrets of Mental Math Adding 8
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182 Secrets of Mental Math If both
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Page 248 and 249: Chapter ∞ Epilogue: How Math Help
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Page 259 and 260: Answers CHAPTER 1: A LITTLE GIVE AN
Page 261 and 262: Answers 235 Three-Digit Subtraction
Page 263 and 264: 13. 757 14. 259 15. 297 297 16. or
Page 265 and 266: Answers 239 2 100 5. 98 2 9600 2 2
Page 267 and 268: Answers 241 2-by-2 Addition-Method
Page 269 and 270: 2-by-2 Factoring-Method Multiplicat
Page 271 and 272: Answers 245 13. 38 63 (9 7) 15.
Page 273 and 274: Answers 247 234 17 3. 217 2 46,800
Page 275 and 276: Answers 249 CHAPTER 4: DIVIDE AND C
Page 277 and 278: Answers 251 23. 4,425,575 No: 4 4
Page 279 and 280: Answers 253 7. 7 8 1 1 4 1
Page 281: Answers 255 9. 104,972 10. 5,462,74
Page 285 and 286: 3-by-2 Exercises Using Factoring, A
Page 287 and 288: 21. 281 or 281 (280 1) 44 (11 4
Page 289 and 290: Answers 263 3. 58,324 2 “Liver”
Page 291 and 292: 3-by-3 Multiplication (page 192) 1.
Page 293 and 294: Answers 267 13. 783 (87 9) 589 1
Page 295 and 296: Answers 269 5-by-5 Multiplication (
Page 297 and 298: Bibliography RAPID CALCULATION Cutl
Page 299 and 300: Index addition: an “amazing” su
Page 301 and 302: Index 275 factoring a number: in th
Page 303 and 304: Index 277 three-by-two problems, 16
Page 305: About the Authors DR. ARTHUR BENJAM
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