All 100 targets have a solution.
\(1 = 90 - 89 \)
\(2 = \frac{ 90 }{ 9 } - 8 \)
\(3 = 89 \cdot 0 + \sqrt{9 }\)
\(4 = 89^{0} + \sqrt{9 }\)
\(5 = \sqrt{9}! - 89^{0 }\)
\(6 = ( 89 \cdot 0 + \sqrt{9 } )!\)
\(7 = 8 - 99^{0 }\)
\(8 = 98 - 90 \)
\(9 = 89 \cdot 0 + 9 \)
\(10 = 89^{0} + 9 \)
\(11 = \frac{ 98 + 0! }{ 9 }\)
\(12 = \frac{ 90 + \sqrt{9}! }{ 8 }\)
\(13 = 8^{0} + \sqrt{9} + 9 \)
\(14 = 0 + 8 - \sqrt{9} + 9 \)
\(15 = ( 0 + 8 ) \cdot \sqrt{9} - 9 \)
\(16 = 8 - 9^{0} + 9 \)
\(17 = \sqrt{90 - 9} + 8 \)
\(18 = \frac{ 90 }{ 9 } + 8 \)
\(19 = 99 - 80 \)
\(20 = 0 + 8 + \sqrt{9} + 9 \)
\(21 = ( 8 - 9^{0} ) \cdot \sqrt{9 }\)
\(22 = \frac{ 90 }{ \sqrt{9} } - 8 \)
\(23 = \frac{ 90 }{ \sqrt{9}! } + 8 \)
\(24 = ( 89^{0} + \sqrt{9 } )!\)
\(25 = 8 - 0! + 9 + 9 \)
\(26 = 0 + 8 + 9 + 9 \)
\(27 = \sqrt{80 \cdot 9 + 9 }\)
\(28 = \sqrt{( 9 - 0! ) \cdot 98 }\)
\(29 = ( 0! + \sqrt{9} ) \cdot 8 - \sqrt{9 }\)
\(30 = \sqrt{899 + 0 !}\)
\(31 = ( \sqrt{9}! - 0! )! - 89 \)
\(32 = ( 9^{0} + \sqrt{9} ) \cdot 8 \)
\(33 = \frac{ 98 + 0! }{ \sqrt{9 } }\)
\(34 = 8 \cdot \sqrt{9} + 0! + 9 \)
\(35 = ( 0 + \sqrt{9} ) \cdot 9 + 8 \)
\(36 = ( 8^{0} + \sqrt{9} ) \cdot 9 \)
\(37 = ( \sqrt{9}! - 0! ) \cdot 9 - 8 \)
\(38 = \frac{ 90 }{ \sqrt{9} } + 8 \)
\(39 = ( 0 + 8 ) \cdot \sqrt{9}! - 9 \)
\(40 = \frac{ 80 \cdot \sqrt{9} }{ \sqrt{9 }! }\)
\(41 = ( 0! + \sqrt{9} ) \cdot 8 + 9 \)
\(42 = 90 - 8 \cdot \sqrt{9 }!\)
\(43 = ( \sqrt{9}! - 0! ) \cdot 8 + \sqrt{9 }\)
\(44 = ( 0! + \sqrt{9} ) \cdot 9 + 8 \)
\(45 = \frac{ 90 }{ 8 - \sqrt{9 }! }\)
\(46 = ( 0 + \sqrt{9} )! \cdot 9 - 8 \)
\(47 = ( 9 - \sqrt{9} ) \cdot 8 - 0 !\)
\(48 = ( 9 - ( 0 + \sqrt{9} ) ) \cdot 8 \)
\(49 = \frac{ 98 }{ \sqrt{9} - 0 ! }\)
\(50 = ( 8 + 9 ) \cdot \sqrt{9} - 0 !\)
\(51 = ( 0 + 8 + 9 ) \cdot \sqrt{9 }\)
\(52 = ( 8 + 9 ) \cdot \sqrt{9} + 0 !\)
\(53 = 80 - \sqrt{9} \cdot 9 \)
\(54 = ( 8 - 0! ) \cdot 9 - 9 \)
\(55 = ( 9 - 0! ) \cdot 8 - 9 \)
\(56 = ( 9^{0} + \sqrt{9}! ) \cdot 8 \)
\(57 = ( 0 + 8 ) \cdot \sqrt{9}! + 9 \)
\(58 = 8 \cdot \sqrt{9}! + 0! + 9 \)
\(59 = ( 0! + \sqrt{9}! ) \cdot 8 + \sqrt{9 }\)
\(60 = ( 8^{0} + 9 ) \cdot \sqrt{9 }!\)
\(61 = ( 9 - 0! ) \cdot 8 - \sqrt{9 }\)
\(62 = 80 - 9 - 9 \)
\(63 = ( 8 - 9^{0} ) \cdot 9 \)
\(64 = ( 9 - 9^{0} ) \cdot 8 \)
\(65 = 80 - 9 - \sqrt{9 }!\)
\(66 = 90 - 8 \cdot \sqrt{9 }\)
\(67 = ( 9 - 0! ) \cdot 8 + \sqrt{9 }\)
\(68 = 80 - 9 - \sqrt{9 }\)
\(69 = ( 0 + 8 ) \cdot 9 - \sqrt{9 }\)
\(70 = 8 \cdot 9 + 0! - \sqrt{9 }\)
\(71 = 80 - \sqrt{9 \cdot 9 }\)
\(72 = \sqrt{90 - 9} \cdot 8 \)
\(73 = 90 - 8 - 9 \)
\(74 = 80 - 9 + \sqrt{9 }\)
\(75 = ( 0 + 8 ) \cdot 9 + \sqrt{9 }\)
\(76 = 90 - 8 - \sqrt{9 }!\)
\(77 = 80 - \frac{ 9 }{ \sqrt{9 } }\)
\(78 = 80 - \frac{ \sqrt{9}! }{ \sqrt{9 } }\)
\(79 = 80 - \frac{ 9 }{ 9 }\)
\(80 = 80 - 9 + 9 \)
\(81 = \frac{ 9 }{ 9 } + 80 \)
\(82 = 8^{0} + 9 \cdot 9 \)
\(83 = \frac{ 9 }{ \sqrt{9} } + 80 \)
\(84 = 89 + 0! - \sqrt{9 }!\)
\(85 = 90 - 8 + \sqrt{9 }\)
\(86 = 80 - \sqrt{9} + 9 \)
\(87 = 89 + 0! - \sqrt{9 }\)
\(88 = 89 - 9^{0 }\)
\(89 = 0 \cdot 9 + 89 \)
\(90 = 9^{0} + 89 \)
\(91 = 90 - 8 + 9 \)
\(92 = 80 + \sqrt{9} + 9 \)
\(93 = 89 + 0! + \sqrt{9 }\)
\(94 = 98 - 0! - \sqrt{9 }\)
\(95 = 90 + 8 - \sqrt{9 }\)
\(96 = 98 + 0! - \sqrt{9 }\)
\(97 = 98 - 9^{0 }\)
\(98 = 80 + 9 + 9 \)
\(99 = 9^{0} + 98 \)
\(100 = 8^{0} + 99 \)