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