All 100 targets have a solution.
\(1 = ( 689 \cdot 0 )!\)
\(2 = \sqrt{90 - 86 }\)
\(3 = 68 \cdot 0 + \sqrt{9 }\)
\(4 = 90 - 86 \)
\(5 = 6 - 89^{0 }\)
\(6 = 89 \cdot 0 + 6 \)
\(7 = 8 - 69^{0 }\)
\(8 = 9 - 68^{0 }\)
\(9 = 68 \cdot 0 + 9 \)
\(10 = 68^{0} + 9 \)
\(11 = 80 - 69 \)
\(12 = 8 \cdot 9 - 60 \)
\(13 = \frac{ 96 }{ 8 } + 0 !\)
\(14 = \frac{ 98 }{ 0! + 6 }\)
\(15 = \frac{ 89 + 0! }{ 6 }\)
\(16 = 96 - 80 \)
\(17 = 0 \cdot 6 + 8 + 9 \)
\(18 = \frac{ 6! }{ 80 } + 9 \)
\(19 = ( 8 - 6 ) \cdot 9 + 0 !\)
\(20 = ( 0! + 9 ) \cdot ( 8 - 6 )\)
\(21 = \sqrt{\sqrt{9}^{8}} - 60 \)
\(22 = 90 - 68 \)
\(23 = \frac{ 90 }{ 6 } + 8 \)
\(24 = ( 90 - 86 )!\)
\(25 = ( 9 - 6 ) \cdot 8 + 0 !\)
\(26 = 80 - 6 \cdot 9 \)
\(27 = \sqrt{\frac{ 6! }{ 80 }} \cdot 9 \)
\(28 = \frac{ 60 }{ \sqrt{9} } + 8 \)
\(29 = 89 - 60 \)
\(30 = \frac{ 60 }{ 8 - \sqrt{9 }! }\)
\(31 = ( 6 - 0! )! - 89 \)
\(32 = \frac{ 96 }{ \sqrt{0! + 8 } }\)
\(33 = ( 8 - 0! ) \cdot 6 - 9 \)
\(34 = \frac{ 68 }{ \sqrt{9} - 0 ! }\)
\(35 = \sqrt{\sqrt{9}^{0 + 6}} + 8 \)
\(36 = 60 - 8 \cdot \sqrt{9 }\)
\(37 = ( 6 - 0! ) \cdot 9 - 8 \)
\(38 = 98 - 60 \)
\(39 = ( 0 + 6 ) \cdot 8 - 9 \)
\(40 = \sqrt{9}!! - 680 \)
\(41 = ( 6 + 8 ) \cdot \sqrt{9} - 0 !\)
\(42 = \frac{ 8! }{ 960 }\)
\(43 = 60 - 8 - 9 \)
\(44 = 80 - 6 \cdot \sqrt{9 }!\)
\(45 = \frac{ 90 }{ 8 - 6 }\)
\(46 = ( 0 + 6 ) \cdot 9 - 8 \)
\(47 = 6 \cdot 8 - 9^{0 }\)
\(48 = ( 0 \cdot 9 + 6 ) \cdot 8 \)
\(49 = 60 - 8 - \sqrt{9 }\)
\(50 = 6 \cdot 8 - 0! + \sqrt{9 }\)
\(51 = 60 - \frac{ 9! }{ 8 ! }\)
\(52 = ( 0! + 9 ) \cdot 6 - 8 \)
\(53 = 6 \cdot 9 - 8^{0 }\)
\(54 = ( 0 \cdot 8 + 6 ) \cdot 9 \)
\(55 = 60 - 8 + \sqrt{9 }\)
\(56 = ( 9^{0} + 6 ) \cdot 8 \)
\(57 = ( 0 + 6 ) \cdot 8 + 9 \)
\(58 = 68 - 0! - 9 \)
\(59 = 60 + 8 - 9 \)
\(60 = ( 9 - 8 ) \cdot 60 \)
\(61 = 60 - 8 + 9 \)
\(62 = 69 + 0! - 8 \)
\(63 = ( 8 - 6^{0} ) \cdot 9 \)
\(64 = \frac{ 6! }{ 90 } \cdot 8 \)
\(65 = 80 - 6 - 9 \)
\(66 = ( 0 + 8 ) \cdot 9 - 6 \)
\(67 = 68 - 9^{0 }\)
\(68 = 0 \cdot 9 + 68 \)
\(69 = 9^{0} + 68 \)
\(70 = 8^{0} + 69 \)
\(71 = 60 + 8 + \sqrt{9 }\)
\(72 = ( 0 \cdot 6 + 8 ) \cdot 9 \)
\(73 = 6^{0} + 8 \cdot 9 \)
\(74 = 80 - ( 9 - 6 )!\)
\(75 = ( 0! + 8 ) \cdot 9 - 6 \)
\(76 = 90 - 6 - 8 \)
\(77 = 60 + 8 + 9 \)
\(78 = 68 + 0! + 9 \)
\(79 = 80 - \frac{ 6 }{ \sqrt{9 }! }\)
\(80 = ( 6^{0} + 9 ) \cdot 8 \)
\(81 = \frac{ 6! }{ 80 } \cdot 9 \)
\(82 = \frac{ 6 }{ \sqrt{9} } + 80 \)
\(83 = 80 - 6 + 9 \)
\(84 = 8 \cdot \sqrt{9} + 60 \)
\(85 = 86 - 9^{0 }\)
\(86 = 0 \cdot 9 + 86 \)
\(87 = 9^{0} + 86 \)
\(88 = 89 - 6^{0 }\)
\(89 = 809 - 6 !\)
\(90 = 6^{0} + 89 \)
\(91 = 98 - 0! - 6 \)
\(92 = 90 - 6 + 8 \)
\(93 = 98 + 0! - 6 \)
\(94 = 86 - 0! + 9 \)
\(95 = 80 + 6 + 9 \)
\(96 = 0 \cdot 8 + 96 \)
\(97 = 8^{0} + 96 \)
\(98 = 0 \cdot 6 + 98 \)
\(99 = 6^{0} + 98 \)
\(100 = ( 0! + 9 )^{8 - 6 }\)