0 7 8 9

All 100 targets have a solution.

\(1 = 80 - 79 \)
\(2 = 8 \cdot 9 - 70 \)
\(3 = 90 - 87 \)
\(4 = 78^{0} + \sqrt{9 }\)
\(5 = \frac{ 80 }{ 7 + 9 }\)
\(6 = ( 90 - 87 )!\)
\(7 = 8 - 79^{0 }\)
\(8 = 9 - 78^{0 }\)
\(9 = 78 \cdot 0 + 9 \)
\(10 = 78^{0} + 9 \)
\(11 = \frac{ 80 - \sqrt{9} }{ 7 }\)
\(12 = 90 - 78 \)
\(13 = \frac{ 98 }{ 7 } - 0 !\)
\(14 = \frac{ 90 + 8 }{ 7 }\)
\(15 = \frac{ 98 }{ 7 } + 0 !\)
\(16 = 8 - 7^{0} + 9 \)
\(17 = 97 - 80 \)
\(18 = 7^{0} + 8 + 9 \)
\(19 = 89 - 70 \)
\(20 = \frac{ 80 }{ 7 - \sqrt{9 } }\)
\(21 = \frac{ \frac{ 7! }{ 80 } }{ \sqrt{9 } }\)
\(22 = 70 - 8 \cdot \sqrt{9 }!\)
\(23 = 7 - 0! + 8 + 9 \)
\(24 = 0 + 7 + 8 + 9 \)
\(25 = \frac{ 78 }{ \sqrt{9} } - 0 !\)
\(26 = \frac{ 70 + 8 }{ \sqrt{9 } }\)
\(27 = \frac{ 78 }{ \sqrt{9} } + 0 !\)
\(28 = 98 - 70 \)
\(29 = \frac{ 80 + 7 }{ \sqrt{9 } }\)
\(30 = \frac{ 87 }{ \sqrt{9} } + 0 !\)
\(31 = ( 0 + 8 ) \cdot \sqrt{9} + 7 \)
\(32 = ( 7^{0} + \sqrt{9} ) \cdot 8 \)
\(33 = \sqrt{\frac{ 8! }{ 70 }} + 9 \)
\(34 = 90 - 7 \cdot 8 \)
\(35 = \frac{ 70 }{ 8 - \sqrt{9 }! }\)
\(36 = \sqrt{0! + 7 + 8} \cdot 9 \)
\(37 = 7^{0} + \sqrt{\sqrt{\sqrt{9}!^{8 }}}\)
\(38 = 80 - 7 \cdot \sqrt{9 }!\)
\(39 = \frac{ 78 }{ \sqrt{9} - 0 ! }\)
\(40 = \frac{ 80 }{ 9 - 7 }\)
\(41 = 90 - \sqrt{\sqrt{7^{8 }}}\)
\(42 = ( 8 - 7^{0} ) \cdot \sqrt{9 }!\)
\(43 = \frac{ 7^{\sqrt{9}} + 0! }{ 8 }\)
\(44 = ( 7 + 8 ) \cdot \sqrt{9} - 0 !\)
\(45 = ( 0 + 7 + 8 ) \cdot \sqrt{9 }\)
\(46 = 70 - 8 \cdot \sqrt{9 }\)
\(47 = ( 0 + 7 ) \cdot 8 - 9 \)
\(48 = \frac{ 7! }{ 90 } - 8 \)
\(49 = ( 8 - 9^{0} ) \cdot 7 \)
\(50 = ( 8 - \sqrt{9} )! - 70 \)
\(51 = ( 7 - 0! ) \cdot 8 + \sqrt{9 }\)
\(52 = ( 8 - 0! ) \cdot 7 + \sqrt{9 }\)
\(53 = 70 - 8 - 9 \)
\(54 = \frac{ 7! }{ 80 } - 9 \)
\(55 = ( 0 + 7 ) \cdot 9 - 8 \)
\(56 = ( 0 \cdot 9 + 7 ) \cdot 8 \)
\(57 = 9^{0} + 7 \cdot 8 \)
\(58 = ( 8 - 0! ) \cdot 7 + 9 \)
\(59 = 70 - 8 - \sqrt{9 }\)
\(60 = 780 - \sqrt{9 }!!\)
\(61 = 70 - \frac{ 9! }{ 8 ! }\)
\(62 = 7 \cdot 9 - 8^{0 }\)
\(63 = ( 8 - 7^{0} ) \cdot 9 \)
\(64 = 80 - 7 - 9 \)
\(65 = 70 - 8 + \sqrt{9 }\)
\(66 = \frac{ 7! }{ 80 } + \sqrt{9 }\)
\(67 = 80 - 7 - \sqrt{9 }!\)
\(68 = 78 - 0! - 9 \)
\(69 = 70 + 8 - 9 \)
\(70 = ( 9 - 8 ) \cdot 70 \)
\(71 = 70 - 8 + 9 \)
\(72 = 79 + 0! - 8 \)
\(73 = 7^{0} + 8 \cdot 9 \)
\(74 = 78 - 0! - \sqrt{9 }\)
\(75 = 90 - 7 - 8 \)
\(76 = 80 - 7 + \sqrt{9 }\)
\(77 = 78 - 9^{0 }\)
\(78 = 0 \cdot 9 + 78 \)
\(79 = 9^{0} + 78 \)
\(80 = 8^{0} + 79 \)
\(81 = 70 + 8 + \sqrt{9 }\)
\(82 = 80 - 7 + 9 \)
\(83 = 89 + 0! - 7 \)
\(84 = 80 + 7 - \sqrt{9 }\)
\(85 = 87 + 0! - \sqrt{9 }\)
\(86 = 87 - 9^{0 }\)
\(87 = 70 + 8 + 9 \)
\(88 = 9^{0} + 87 \)
\(89 = 0 \cdot 7 + 89 \)
\(90 = 7^{0} + 89 \)
\(91 = 90 - 7 + 8 \)
\(92 = 98 + 0! - 7 \)
\(93 = 80 + 7 + \sqrt{9 }!\)
\(94 = 8 \cdot \sqrt{9} + 70 \)
\(95 = 87 - 0! + 9 \)
\(96 = 80 + 7 + 9 \)
\(97 = 0 \cdot 8 + 97 \)
\(98 = 8^{0} + 97 \)
\(99 = 7^{0} + 98 \)
\(100 = \sqrt{0! + 8} + 97 \)