you use the numbers 1,4,8,9 to make expressions that equal numbers 1-100
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Some of these expressions use the factorial function n! (4!=1*2*3*4=24) and the nCr function, which gives the number of combinations of r objects from n different objects, e.g., 8C4=8*7*6*5/4!=70. The expressions below do not necessarily show the only way to arrive at the required result.

  1. (9-8)*1^4.......51. (4-1)(9+8)
  2. 4+8-1-9.........52. 41+8+sqrt(9)
  3. (4-1)(9-8)......53. 9(4+1)+8
  4. 1+4+8-9........54. 9*(8-4-1)!
  5. (4+1)(9-8).....55. (4+1)(8+sqrt(9))
  6. 1+4-8+9........56. 48+9-1
  7. 49/(8-1).........57. 98-41
  8. 1+9-(8/4).......58. 41+8+9
  9. 9((8/4)-1).......59. 91-4*8
  10. 9+(8/4)-1.......60. 8(9-1)-4
  11. 9*1+(8/4).......61. 8C4-9*1
  12. 8+9-1-4.........62. 8C4-9+1
  13. 8+9-1*4.........63. 9(8-1^4)
  14. 1-4+8+9........64. 8(9-1^4)
  15. 19+4-8..........65. 84-19
  16. 8+9-1^4........66. 81+9-4!
  17. (8+9)*1^4......67. 9*8-1-4
  18. 8+9+1^4........68. 81-4-9
  19. 9*8/4+1.........69. 9*8-4+1
  20. 4-1+8+9........70. 8C4*1^9
  21. 1*4+8+9........71. 9*8-1^4
  22. 1+4+8+9.......72. 9*8*1^4
  23. 4*8-1*9.........73. 9*8+1^4
  24. 8*9/(4-1).......74. 84-1-9
  25. (9+1)/(.8-.4)..75. 89-14
  26. 4!+9-8+1.......76. 84-9+1
  27. 9(8-4-1).........77. 9(8+1)-4
  28. 4*9-8*1..........78. 9/.1-8-4
  29. 4*9-8+1.........79. 91-8-4
  30. 1+9+8/.4.......80. 8(9+1^4)
  31. 8(4+1)-9........81. 9(8+1^4)
  32. 4*8*1^9.........82. (.9)/(.1^sqrt(4))-8
  33. 8(4-1)+9........83. 9(8+1)+sqrt(4)
  34. (9+8)/(.4+.1)..84. 89-1-4
  35. 9(8-4)-1.........85. 94-8-1
  36. 9(8-4)*1.........86. 81+9-4
  37. 4(8-1)+9........87. 91-8+4
  38. 19*8/4...........88. 9/.1-8/4
  39. 48-1*9...........89. 91-(8/4)
  40. 4*8-1+9.........90. (.9)/(.1^(8/4))
  41. 4*8+9*1.........91. (8-1)(4+9)
  42. 4*8+1+9........92. 84+9-1
  43. 4*9-1+8.........93. 98-1-4
  44. 4*9+8*1.........94. 84+1+9
  45. 4*9+1+8........95. 98-4+1
  46. 41+8-sqrt(9)..96. (4+8)(9-1)
  47. 48-1^9...........97. 98-1^4
  48. 48*1^9...........98. 98*1^4
  49. 8*(4+1)+9......99. 98+1^4
  50. 49+1^8........100. (1+9)^(8/4)

 

by Top Rated User (1.2m points)
  1. (9-8)*1^4.......51. (4-1)(9+8)
  2. 4+8-1-9.........52. 41+8+sqrt(9)
  3. (4-1)(9-8)......53. 9(4+1)+8
  4. 1+4+8-9........54. 9*(8-4-1)!
  5. (4+1)(9-8).....55. (4+1)(8+sqrt(9))
  6. 1+4-8+9........56. 48+9-1
  7. 49/(8-1).........57. 98-41
  8. 1+9-(8/4).......58. 41+8+9
  9. 9((8/4)-1).......59. 91-4*8
  10. 9+(8/4)-1.......60. 8(9-1)-4
  11. 9*1+(8/4).......61. 8C4-9*1
  12. 8+9-1-4.........62. 8C4-9+1
  13. 8+9-1*4.........63. 9(8-1^4)
  14. 1-4+8+9........64. 8(9-1^4)
  15. 19+4-8..........65. 84-19
  16. 8+9-1^4........66. 81+9-4!
  17. (8+9)*1^4......67. 9*8-1-4
  18. 8+9+1^4........68. 81-4-9
  19. 9*8/4+1.........69. 9*8-4+1
  20. 4-1+8+9........70. 8C4*1^9
  21. 1*4+8+9........71. 9*8-1^4
  22. 1+4+8+9.......72. 9*8*1^4
  23. 4*8-1*9.........73. 9*8+1^4
  24. 8*9/(4-1).......74. 84-1-9
  25. (9+1)/(.8-.4)..75. 89-14
  26. 4!+9-8+1.......76. 84-9+1
  27. 9(8-4-1).........77. 9(8+1)-4
  28. 4*9-8*1..........78. 9/.1-8-4
  29. 4*9-8+1.........79. 91-8-4
  30. 1+9+8/.4.......80. 8(9+1^4)
  31. 8(4+1)-9........81. 9(8+1^4)
  32. 4*8*1^9.........82. (.9)/(.1^sqrt(4))-8
  33. 8(4-1)+9........83. 9(8+1)+sqrt(4)
  34. (9+8)/(.4+.1)..84. 89-1-4
  35. 9(8-4)-1.........85. 94-8-1
  36. 9(8-4)*1.........86. 81+9-4
  37. 4(8-1)+9........87. 91-8+4
  38. 19*8/4...........88. 9/.1-8/4
  39. 48-1*9...........89. 91-(8/4)
  40. 4*8-1+9.........90. (.9)/(.1^(8/4))
  41. 4*8+9*1.........91. (8-1)(4+9)
  42. 4*8+1+9........92. 84+9-1
  43. 4*9-1+8.........93. 98-1-4
  44. 4*9+8*1.........94. 84+1+9
  45. 4*9+1+8........95. 98-4+1
  46. 41+8-sqrt(9)..96. (4+8)(9-1)
  47. 48-1^9...........97. 98-1^4
  48. 48*1^9...........98. 98*1^4
  49. 8*(4+1)+9......99. 98+1^4
  50. 49+1^8........100. (1+9)^(8/4)
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