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Well... let's figure it out.

  1. .
  2. .
  3. .
  4. .
  5. .
  6. .
  7. .
  8. 1 - 8 Here.
  9. .
  10. .
  11. .
  12. .
  13. .
  14. .
  15. .
  16. .
  17. .
  18. 2 - 8 Here
  19. .
  20. .
  21. .
  22. .
  23. .
  24. .
  25. .
  26. ..
  27. ..
  28. 3 - 8 Here
  29. .
  30. ..
  31. .
  32. .
  33. .
  34. .
  35. .
  36. .
  37. .
  38. 4 - 8 Here
  39. .
  40. .
  41. .
  42. .
  43. .
  44. .
  45. .
  46. .
  47. .
  48. 5 - 8 Here
  49. .
  50. .
  51. .
  52. .
  53. .
  54. .
  55. .
  56. .
  57. .
  58. 6 - 8 Here
  59. .
  60. .
  61. .
  62. .
  63. .
  64. .
  65. .
  66. .
  67. .
  68. 7 - 8 Here
  69. .
  70. .
  71. .
  72. .
  73. .
  74. .
  75. .
  76. .
  77. .
  78. 8 - 8 Here
  79. .
  80. 9 - 8 Here
  81. 10 - 8 Here
  82. 11 - 8 Here
  83. 12 - 8 Here
  84. 13 - 8 Here
  85. 14 - 8 Here
  86. 15 - 8 Here
  87. 16 - 8 Here
  88. 17 & 18 - Two 8's Here
  89. 19 - 8 Here
  90. .
  91. .
  92. .
  93. .
  94. .
  95. .
  96. .
  97. .
  98. 20 - 8 Here
  99. .
  100. So the answer is, between the number 1 and 100 an 8 appears 20 times.

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Q: How many times digit 8 appears from 1 to 100 in detail show?
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