All 100 targets have a solution.
\(1 = ( 478 \cdot 0 )!\)
\(2 = 7 - \frac{ 40 }{ 8 }\)
\(3 = 4 - 78^{0 }\)
\(4 = 78 \cdot 0 + 4 \)
\(5 = 78^{0} + 4 \)
\(6 = 80 - 74 \)
\(7 = 8 - 47^{0 }\)
\(8 = 47 \cdot 0 + 8 \)
\(9 = 47^{0} + 8 \)
\(10 = 4 - 8^{0} + 7 \)
\(11 = \frac{ 84 }{ 7 } - 0 !\)
\(12 = \frac{ 40 }{ 8 } + 7 \)
\(13 = \frac{ 80 }{ 4 } - 7 \)
\(14 = 84 - 70 \)
\(15 = 0 \cdot 4 + 7 + 8 \)
\(16 = 7 \cdot 8 - 40 \)
\(17 = 0 + \sqrt{4} + 7 + 8 \)
\(18 = 4 - 0! + 7 + 8 \)
\(19 = 0 + 4 + 7 + 8 \)
\(20 = ( 0 + 4 ) \cdot 7 - 8 \)
\(21 = ( 4 - 8^{0} ) \cdot 7 \)
\(22 = 70 - 48 \)
\(23 = 4! - 78^{0 }\)
\(24 = ( 78 \cdot 0 + 4 )!\)
\(25 = 40 - 7 - 8 \)
\(26 = \frac{ 78 }{ 4 - 0 ! }\)
\(27 = \sqrt{784} - 0 !\)
\(28 = \sqrt{780 + 4 }\)
\(29 = \sqrt{784} + 0 !\)
\(30 = 4! - 8^{0} + 7 \)
\(31 = \frac{ 70 - 8 }{ \sqrt{4 } }\)
\(32 = ( 0 \cdot 7 + 4 ) \cdot 8 \)
\(33 = 80 - 47 \)
\(34 = ( 4 - 0! )! \cdot 7 - 8 \)
\(35 = \frac{ 40 \cdot 7 }{ 8 }\)
\(36 = ( 0 + 4 ) \cdot 7 + 8 \)
\(37 = 4 \cdot 7 + 0! + 8 \)
\(38 = 78 - 40 \)
\(39 = 40 + 7 - 8 \)
\(40 = ( 8 - 7 ) \cdot 40 \)
\(41 = 40 - 7 + 8 \)
\(42 = 48 + 0! - 7 \)
\(43 = \frac{ 70 }{ \sqrt{4} } + 8 \)
\(44 = 47 - \sqrt{0! + 8 }\)
\(45 = ( 8 - 0! ) \cdot 7 - 4 \)
\(46 = 47 - 8^{0 }\)
\(47 = 87 - 40 \)
\(48 = 8^{0} + 47 \)
\(49 = 7^{0} + 48 \)
\(50 = \sqrt{0! + 8} + 47 \)
\(51 = 7 \cdot 8 - 0! - 4 \)
\(52 = 80 - 4 \cdot 7 \)
\(53 = 78 - 0! - 4 !\)
\(54 = 47 - 0! + 8 \)
\(55 = 40 + 7 + 8 \)
\(56 = 47 + 0! + 8 \)
\(57 = 4^{0} + 7 \cdot 8 \)
\(58 = 70 - 4 - 8 \)
\(59 = \frac{ 7! }{ 80 } - 4 \)
\(60 = 70 - \sqrt{4} - 8 \)
\(61 = \frac{ 7! }{ 80 } - \sqrt{4 }\)
\(62 = \sqrt{70^{\sqrt{4}}} - 8 \)
\(63 = 80 - 4! + 7 \)
\(64 = 70 + \sqrt{4} - 8 \)
\(65 = 74 - 0! - 8 \)
\(66 = 70 + 4 - 8 \)
\(67 = 70 - \frac{ 4! }{ 8 }\)
\(68 = 70 - \frac{ 8 }{ 4 }\)
\(69 = 80 - 4 - 7 \)
\(70 = \sqrt{70^{\frac{ 8 }{ 4 }}}\)
\(71 = 80 - \sqrt{4} - 7 \)
\(72 = \frac{ 8 }{ 4 } + 70 \)
\(73 = 74 - 8^{0 }\)
\(74 = 70 - 4 + 8 \)
\(75 = 8^{0} + 74 \)
\(76 = 70 - \sqrt{4} + 8 \)
\(77 = 78 - 4^{0 }\)
\(78 = 0 \cdot 4 + 78 \)
\(79 = 4^{0} + 78 \)
\(80 = 70 + \sqrt{4} + 8 \)
\(81 = 74 - 0! + 8 \)
\(82 = 70 + 4 + 8 \)
\(83 = 80 - 4 + 7 \)
\(84 = 0 \cdot 7 + 84 \)
\(85 = 7^{0} + 84 \)
\(86 = 87 - 4^{0 }\)
\(87 = 0 \cdot 4 + 87 \)
\(88 = \frac{ 704 }{ 8 }\)
\(89 = 80 + \sqrt{4} + 7 \)
\(90 = 84 - 0! + 7 \)
\(91 = 80 + 4 + 7 \)
\(92 = 84 + 0! + 7 \)
\(93 = ( 4 - 0! )! + 87 \)
\(94 = ( 8 - 4 )! + 70 \)
\(95 = \sqrt{8^{0} + 7!} + 4 !\)
\(96 = 7 \cdot 8 + 40 \)
\(97 = 80 + 4! - 7 \)
\(98 = ( ( 4 - 0! )! + 8 ) \cdot 7 \)
\(99 = ( 0! + 8 ) \cdot ( 4 + 7 )\)
\(100 = \sqrt{\sqrt{4} \cdot 7! - 80 }\)