38 x 42          dtcoulson@gmail.com
38 x 42          38   42
38 x 42          38   42
38 x 42          38   40   42
38 x 42                    2          38   40       42
38 x 42 = 402 - 22                     2          38   40        42
38 x 42 = 402 - 22 = 1600 - 4                    2          38   40       42
38 x 42 = 402 - 22 = 1600 - 4 = 1596                    2          38   40       42
46 x 54
46 x 54          46   54
46 x 54          46   54
46 x 54                    4          46   50       54
46 x 54 = 502 - 42                     4          46   50        54
46 x 54 = 502 - 42 = 2500 - 16                    4          46   50       54
46 x 54 = 502 - 42 = 2500 - 16 = 2484                    4          46   50       54
93 x 87 =
93 x 87 = 902 - 32
93 x 87 = 902 - 32 = 8100 - 9
93 x 87 = 902 - 32 = 8100 - 9 = 8091
28 x 22
28 x 22 = 252 - 32
28 x 22 = 252 - 32 = 625 - 9
28 x 22 = 252 - 32 = 625 - 9 = 616
17 x 13
17 x 13 = 152 - 22
17 x 13 = 152 - 22 = 225 - 4
17 x 13 = 152 - 22 = 225 - 4 = 221
12 x 14
12 x 14 = 132 - 12
12 x 14 = 132 - 12 = 169 - 1
12 x 14 = 132 - 12 = 169 - 1 = 168
Method 2:      232 = ??
Method 2:      232 = ??                 23
Method 2:      232 = ??                           3                 20   23       26
Method 2:      232 = 20 x 26 + 32                           3                 20   23       26
Method 2:      232 = 20 x 26 + 32 = 520 + 9                           3                20    23       26
Method 2:      232 = 20 x 26 + 32 = 520 + 9 = 529                          3                20   23       26
Method 2:      472
Method 2:      472            47
Method 2:      472                      3            44   47       50
Method 2:      472 = 44 x 50 + 32                           3                44    47       50
Method 2:      472 = 44 x 50 + 32 = 2200 + 9                           3                44    47       50
Method 2:      472 = 44 x 50 + 32 = 2200 + 9 = 2209                          3                44   47       50
Method 2:      242
Method 2:      242 = 20 x 28 + 42
Method 2:      242 = 20 x 28 + 42 = 560 + 16
Method 2:      242 = 20 x 28 + 42 = 560 + 16 = 576
Method 3: 22 x 24 = ??
Method 3: 22 x 24 = ??                22   24
Method 3: 22 x 24 = 20 x 26            20 22    24 26
Method 3: 22 x 24 = 20 x 26 + 32                          3            20 22             24 26
Method 3: 22 x 24 = 20 x 26 + 32 - 12                        3                        1            20 22           24 26
Method 3: 22 x 24 = 20 x 26 + 32 - 12    = 520 + 9 - 1                        3                        1            20 22 ...
Method 3: 22 x 24 = 20 x 26 + 32 - 12    = 528                        3                        1            20 22         ...
Method 3: 46 x 48
Method 3: 46 x 48 = 44 x 50
Method 3: 46 x 48 = 44 x 50 +   32
Method 3: 46 x 48 = 44 x 50 +   32 - 12
Method 3: 46 x 48 = 44 x 50 +      32 - 12            = 2200 +   9 - 1
Method 3: 46 x 48 = 44 x 50 +      32 - 12            = 2200 +   9 - 1            = 2208
Method 3: 17 x 19
Method 3: 17 x 19 = 16 x 20
Method 3: 17 x 19 = 16 x 20   + 22   - 12
Method 3: 17 x 19 = 16 x 20   + 22   - 12 = 320 + 4 - 1
Method 3: 17 x 19 = 16 x 20   + 22   - 12 = 320 + 4 - 1 = 323
Method 3: 99 x 97
Method 3: 99 x 97 = 100 x 96 + 2 2 - 12
Method 3: 99 x 97 = 100 x 96 + 2 2 - 12 = 9600 + 3
Method 3: 99 x 97 = 100 x 96 + 2 2 - 12 = 9600 + 3 = 9603
Method 4:
Method 4:
Method 4:
Method 4:    √40
Method 4:    √40   4 x 10
Method 4:    √40   4 x 10    14
Method 4:    √40     14            4   4 x 10    14
Method 4:    √40     7            2   4 x 10    14
Method 4:    √40     7            2   4 x 10    14      3 .5
Method 4:    √40     7      +   40            2          14   4 x 10    14      3 .5
Method 4:    √40     7      +   20            2          7   4 x 10    14      3 .5
Method 4:    √40     7      +       6            2          2                           7   4 x 10    14      3 .5
Method 4:    √40     7      +       6            2          2                           7   4 x 10    14      3 .5   + 2.85
Method 4:    √40     7      +       6            2          2                           7   4 x 10    14      3 .5   + 2.8...
Method 4:    √40     7      +       6            2          2                           7   4 x 10    14      3 .5   + 2.8...
Method 4:    √40   8 x 5 ??              (6.32)
Method 4:    √40   8x5    13            (6.32)
Method 4:    √40     13            4   8x5    13                 (6.32)
Method 4:    √40         1            3   4   8x5    13                    (6.32)
Method 4:    √40         1            3   4   8x5    13          3 .25                        (6.32)
Method 4:    √40         1            3           +   40                4           13   8x5    13          3 .25         ...
Method 4:    √40         1            3           +       1                4           3                                13...
Method 4:    √40         1            3           +       1                4           3                                13...
Method 4:    √40         1            3           +       1                4           3                                13...
Method 4:    √40         1            3           +       1                4           3                                13...
Method 4:    √40         1            3           +       1                4           3                                13...
davecoulson.150m.comdtcoulson@gmail.com
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Radius method

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Radius method

  1. 1. 38 x 42 dtcoulson@gmail.com
  2. 2. 38 x 42 38 42
  3. 3. 38 x 42 38 42
  4. 4. 38 x 42 38 40 42
  5. 5. 38 x 42 2 38 40 42
  6. 6. 38 x 42 = 402 - 22 2 38 40 42
  7. 7. 38 x 42 = 402 - 22 = 1600 - 4 2 38 40 42
  8. 8. 38 x 42 = 402 - 22 = 1600 - 4 = 1596 2 38 40 42
  9. 9. 46 x 54
  10. 10. 46 x 54 46 54
  11. 11. 46 x 54 46 54
  12. 12. 46 x 54 4 46 50 54
  13. 13. 46 x 54 = 502 - 42 4 46 50 54
  14. 14. 46 x 54 = 502 - 42 = 2500 - 16 4 46 50 54
  15. 15. 46 x 54 = 502 - 42 = 2500 - 16 = 2484 4 46 50 54
  16. 16. 93 x 87 =
  17. 17. 93 x 87 = 902 - 32
  18. 18. 93 x 87 = 902 - 32 = 8100 - 9
  19. 19. 93 x 87 = 902 - 32 = 8100 - 9 = 8091
  20. 20. 28 x 22
  21. 21. 28 x 22 = 252 - 32
  22. 22. 28 x 22 = 252 - 32 = 625 - 9
  23. 23. 28 x 22 = 252 - 32 = 625 - 9 = 616
  24. 24. 17 x 13
  25. 25. 17 x 13 = 152 - 22
  26. 26. 17 x 13 = 152 - 22 = 225 - 4
  27. 27. 17 x 13 = 152 - 22 = 225 - 4 = 221
  28. 28. 12 x 14
  29. 29. 12 x 14 = 132 - 12
  30. 30. 12 x 14 = 132 - 12 = 169 - 1
  31. 31. 12 x 14 = 132 - 12 = 169 - 1 = 168
  32. 32. Method 2: 232 = ??
  33. 33. Method 2: 232 = ?? 23
  34. 34. Method 2: 232 = ?? 3 20 23 26
  35. 35. Method 2: 232 = 20 x 26 + 32 3 20 23 26
  36. 36. Method 2: 232 = 20 x 26 + 32 = 520 + 9 3 20 23 26
  37. 37. Method 2: 232 = 20 x 26 + 32 = 520 + 9 = 529 3 20 23 26
  38. 38. Method 2: 472
  39. 39. Method 2: 472 47
  40. 40. Method 2: 472 3 44 47 50
  41. 41. Method 2: 472 = 44 x 50 + 32 3 44 47 50
  42. 42. Method 2: 472 = 44 x 50 + 32 = 2200 + 9 3 44 47 50
  43. 43. Method 2: 472 = 44 x 50 + 32 = 2200 + 9 = 2209 3 44 47 50
  44. 44. Method 2: 242
  45. 45. Method 2: 242 = 20 x 28 + 42
  46. 46. Method 2: 242 = 20 x 28 + 42 = 560 + 16
  47. 47. Method 2: 242 = 20 x 28 + 42 = 560 + 16 = 576
  48. 48. Method 3: 22 x 24 = ??
  49. 49. Method 3: 22 x 24 = ?? 22 24
  50. 50. Method 3: 22 x 24 = 20 x 26 20 22 24 26
  51. 51. Method 3: 22 x 24 = 20 x 26 + 32 3 20 22 24 26
  52. 52. Method 3: 22 x 24 = 20 x 26 + 32 - 12 3 1 20 22 24 26
  53. 53. Method 3: 22 x 24 = 20 x 26 + 32 - 12 = 520 + 9 - 1 3 1 20 22 24 26
  54. 54. Method 3: 22 x 24 = 20 x 26 + 32 - 12 = 528 3 1 20 22 24 26
  55. 55. Method 3: 46 x 48
  56. 56. Method 3: 46 x 48 = 44 x 50
  57. 57. Method 3: 46 x 48 = 44 x 50 + 32
  58. 58. Method 3: 46 x 48 = 44 x 50 + 32 - 12
  59. 59. Method 3: 46 x 48 = 44 x 50 + 32 - 12 = 2200 + 9 - 1
  60. 60. Method 3: 46 x 48 = 44 x 50 + 32 - 12 = 2200 + 9 - 1 = 2208
  61. 61. Method 3: 17 x 19
  62. 62. Method 3: 17 x 19 = 16 x 20
  63. 63. Method 3: 17 x 19 = 16 x 20 + 22 - 12
  64. 64. Method 3: 17 x 19 = 16 x 20 + 22 - 12 = 320 + 4 - 1
  65. 65. Method 3: 17 x 19 = 16 x 20 + 22 - 12 = 320 + 4 - 1 = 323
  66. 66. Method 3: 99 x 97
  67. 67. Method 3: 99 x 97 = 100 x 96 + 2 2 - 12
  68. 68. Method 3: 99 x 97 = 100 x 96 + 2 2 - 12 = 9600 + 3
  69. 69. Method 3: 99 x 97 = 100 x 96 + 2 2 - 12 = 9600 + 3 = 9603
  70. 70. Method 4:
  71. 71. Method 4:
  72. 72. Method 4:
  73. 73. Method 4: √40
  74. 74. Method 4: √40 4 x 10
  75. 75. Method 4: √40 4 x 10 14
  76. 76. Method 4: √40 14 4 4 x 10 14
  77. 77. Method 4: √40 7 2 4 x 10 14
  78. 78. Method 4: √40 7 2 4 x 10 14 3 .5
  79. 79. Method 4: √40 7 + 40 2 14 4 x 10 14 3 .5
  80. 80. Method 4: √40 7 + 20 2 7 4 x 10 14 3 .5
  81. 81. Method 4: √40 7 + 6 2 2 7 4 x 10 14 3 .5
  82. 82. Method 4: √40 7 + 6 2 2 7 4 x 10 14 3 .5 + 2.85
  83. 83. Method 4: √40 7 + 6 2 2 7 4 x 10 14 3 .5 + 2.85 = 6.35
  84. 84. Method 4: √40 7 + 6 2 2 7 4 x 10 14 3 .5 + 2.85 = 6.35 (6.32)
  85. 85. Method 4: √40 8 x 5 ?? (6.32)
  86. 86. Method 4: √40 8x5 13 (6.32)
  87. 87. Method 4: √40 13 4 8x5 13 (6.32)
  88. 88. Method 4: √40 1 3 4 8x5 13 (6.32)
  89. 89. Method 4: √40 1 3 4 8x5 13 3 .25 (6.32)
  90. 90. Method 4: √40 1 3 + 40 4 13 8x5 13 3 .25 (6.32)
  91. 91. Method 4: √40 1 3 + 1 4 3 13 8x5 13 3 .25 (6.32)
  92. 92. Method 4: √40 1 3 + 1 4 3 13 8x5 13 3 .25 + 3 .10 ? (6.32)
  93. 93. Method 4: √40 1 3 + 1 4 3 13 8x5 13 3 .25 + 3 .05 ? (6.32)
  94. 94. Method 4: √40 1 3 + 1 4 3 13 8x5 13 3 .25 + 3 .07 (6.32)
  95. 95. Method 4: √40 1 3 + 1 4 3 13 8x5 13 3 .25 + 3 .07 = 6.32 (6.32)
  96. 96. davecoulson.150m.comdtcoulson@gmail.com

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