| \(1 = ( 9 - 8 )^{13 }\) | \(2 = \frac{ 38 }{ 19 }\) | \(3 = 9 - \frac{ 18 }{ 3 }\) | \(4 = 9 - ( 13 - 8 )\) |
| \(5 = \frac{ 18 }{ 9 } + 3 \) | \(6 = 18 - 3 - 9 \) | \(7 = \frac{ 13 + 8 }{ \sqrt{9 } }\) | \(8 = 91 - 83 \) |
| \(9 = 3^{\frac{ 18 }{ 9 }}\) | \(10 = \sqrt{13 - 9} + 8 \) | \(11 = \frac{ 91 - 3 }{ 8 }\) | \(12 = 93 - 81 \) |
| \(13 = ( 9 - 8 ) \cdot 13 \) | \(14 = 13 - 8 + 9 \) | \(15 = \frac{ 18 }{ 3 } + 9 \) | \(16 = \sqrt{13 - 9} \cdot 8 \) |
| \(17 = 18 - \frac{ 3 }{ \sqrt{9 } }\) | \(18 = \frac{ 81 }{ 3 } - 9 \) | \(19 = 38 - 19 \) | \(20 = 31 - 8 - \sqrt{9 }\) |
| \(21 = 39 - 18 \) | \(22 = ( 1 + 9 ) \cdot 3 - 8 \) | \(23 = \frac{ 138 }{ \sqrt{9 }! }\) | \(24 = 18 - 3 + 9 \) |
| \(25 = ( 3 - 1 ) \cdot 8 + 9 \) | \(26 = 31 - 8 + \sqrt{9 }\) | \(27 = ( 18 - 9 ) \cdot 3 \) | \(28 = 38 - 1 - 9 \) |
| \(29 = 38 \cdot 1 - 9 \) | \(30 = 39 - \sqrt{81 }\) | \(31 = ( 9 - 8 ) \cdot 31 \) | \(32 = ( 13 - 9 ) \cdot 8 \) |
| \(33 = \frac{ 198 }{ 3 ! }\) | \(34 = 38 - 1 - \sqrt{9 }\) | \(35 = 38 \cdot 1 - \sqrt{9 }\) | \(36 = \frac{ 81 }{ 3 } + 9 \) |
| \(37 = 38 - 1^{9 }\) | \(38 = 1^{9} \cdot 38 \) | \(39 = 1^{9} + 38 \) | \(40 = 1^{8} + 39 \) |
| \(41 = 8 \cdot 9 - 31 \) | \(42 = 81 - 39 \) | \(43 = 3 \cdot 8 + 19 \) | \(44 = ( 1 + 3 ) \cdot 9 + 8 \) |
| \(45 = ( 13 - 8 ) \cdot 9 \) | \(46 = \frac{ 138 }{ \sqrt{9 } }\) | \(47 = 38 \cdot 1 + 9 \) | \(48 = 39 + \sqrt{81 }\) |
| \(49 = 19 \cdot 3 - 8 \) | \(50 = ( 8 + 9 ) \cdot 3 - 1 \) | \(51 = 18 \cdot 3 - \sqrt{9 }\) | \(52 = ( 8 + 9 ) \cdot 3 + 1 \) |
| \(53 = 91 - 38 \) | \(54 = \frac{ 18 }{ 3 } \cdot 9 \) | \(55 = 8 \cdot \sqrt{9} + 31 \) | \(56 = ( 9 - ( 3 - 1 ) ) \cdot 8 \) |
| \(57 = 18 + 39 \) | \(58 = 89 - 31 \) | \(59 = 8 \cdot 9 - 13 \) | \(60 = ( 8 - 1 ) \cdot 9 - 3 \) |
| \(61 = \frac{ 183 }{ \sqrt{9 } }\) | \(62 = \sqrt{3^{8}} - 19 \) | \(63 = \frac{ 189 }{ 3 }\) | \(64 = 83 - 19 \) |
| \(65 = 19 \cdot 3 + 8 \) | \(66 = \frac{ 198 }{ 3 }\) | \(67 = 98 - 31 \) | \(68 = 8 \cdot 9 - 1 - 3 \) |
| \(69 = 81 - 3 - 9 \) | \(70 = 8 \cdot 9 + 1 - 3 \) | \(71 = 8 \cdot 9 - 1^{3 }\) | \(72 = 3! \cdot 9 + 18 \) |
| \(73 = 83 - 1 - 9 \) | \(74 = 83 \cdot 1 - 9 \) | \(75 = 93 - 18 \) | \(76 = 89 - 13 \) |
| \(77 = 91 - 3! - 8 \) | \(78 = 81 - \frac{ 9 }{ 3 }\) | \(79 = 83 - 1 - \sqrt{9 }\) | \(80 = 91 - 3 - 8 \) |
| \(81 = ( 18 + 9 ) \cdot 3 \) | \(82 = 83 - 1^{9 }\) | \(83 = 1^{9} \cdot 83 \) | \(84 = 93 - \sqrt{81 }\) |
| \(85 = 98 - 13 \) | \(86 = 89 \cdot 1 - 3 \) | \(87 = 81 - 3 + 9 \) | \(88 = 89 - 1^{3 }\) |
| \(89 = 1^{3} \cdot 89 \) | \(90 = 1^{3} + 89 \) | \(91 = 83 - 1 + 9 \) | \(92 = 83 \cdot 1 + 9 \) |
| \(93 = 81 + 3 + 9 \) | \(94 = 1^{8} + 93 \) | \(95 = 13 \cdot 8 - 9 \) | \(96 = 91 - 3 + 8 \) |
| \(97 = 98 - 1^{3 }\) | \(98 = 1^{3} \cdot 98 \) | \(99 = 819 - 3 !!\) | \(100 = 93 - 1 + 8 \) |