0 4 8 9

All 100 targets have a solution.

\(1 = ( 489 \cdot 0 )!\)
\(2 = \frac{ 40 }{ 8 } - \sqrt{9 }\)
\(3 = 4 - 89^{0 }\)
\(4 = 9 - \frac{ 40 }{ 8 }\)
\(5 = 89^{0} + 4 \)
\(6 = 90 - 84 \)
\(7 = \sqrt{89 - 40 }\)
\(8 = 9 - 48^{0 }\)
\(9 = 48 \cdot 0 + 9 \)
\(10 = 48^{0} + 9 \)
\(11 = \frac{ 80 }{ 4 } - 9 \)
\(12 = 4 - 8^{0} + 9 \)
\(13 = 8 - ( 0 + 4 ) + 9 \)
\(14 = 94 - 80 \)
\(15 = \frac{ 40 }{ 8 } \cdot \sqrt{9 }\)
\(16 = \frac{ 80 }{ 9 - 4 }\)
\(17 = \frac{ 80 }{ 4 } - \sqrt{9 }\)
\(18 = \frac{ 8 }{ 0 + 4 } \cdot 9 \)
\(19 = 0 + \sqrt{4} + 8 + 9 \)
\(20 = \sqrt{( 9 - 4 ) \cdot 80 }\)
\(21 = 0 + 4 + 8 + 9 \)
\(22 = \frac{ 89 - 0! }{ 4 }\)
\(23 = 40 - 8 - 9 \)
\(24 = ( 9 - \frac{ 40 }{ 8 } )!\)
\(25 = 89^{0} + 4 !\)
\(26 = 90 - 8^{\sqrt{4 }}\)
\(27 = ( 4 - 8^{0} ) \cdot 9 \)
\(28 = \frac{ 80 + 4 }{ \sqrt{9 } }\)
\(29 = \frac{ 80 }{ 4 } + 9 \)
\(30 = \frac{ 80 \cdot 9 }{ 4 ! }\)
\(31 = 80 - 49 \)
\(32 = 8 \cdot 9 - 40 \)
\(33 = 9^{0} + 4 \cdot 8 \)
\(34 = 8^{0} + 4! + 9 \)
\(35 = 40 - 8 + \sqrt{9 }\)
\(36 = ( 8 - ( 0 + 4 ) ) \cdot 9 \)
\(37 = \frac{ 90 }{ \sqrt{4} } - 8 \)
\(38 = 48 - 0! - 9 \)
\(39 = 40 + 8 - 9 \)
\(40 = ( 9 - 8 ) \cdot 40 \)
\(41 = 40 - 8 + 9 \)
\(42 = 90 - 48 \)
\(43 = \frac{ 80 }{ \sqrt{4} } + \sqrt{9 }\)
\(44 = 80 - 4 \cdot 9 \)
\(45 = \frac{ 40 }{ 8 } \cdot 9 \)
\(46 = 48 + 0! - \sqrt{9 }\)
\(47 = 48 - 9^{0 }\)
\(48 = 0 \cdot 9 + 48 \)
\(49 = 89 - 40 \)
\(50 = 8^{0} + 49 \)
\(51 = 40 + 8 + \sqrt{9 }\)
\(52 = 48 + 0! + \sqrt{9 }\)
\(53 = \frac{ 90 }{ \sqrt{4} } + 8 \)
\(54 = 40 + 8 + \sqrt{9 }!\)
\(55 = \sqrt{49} \cdot 8 - 0 !\)
\(56 = \sqrt{40 + 9} \cdot 8 \)
\(57 = 40 + 8 + 9 \)
\(58 = 98 - 40 \)
\(59 = 80 - 4! + \sqrt{9 }\)
\(60 = \frac{ 80 }{ 4 } \cdot \sqrt{9 }\)
\(61 = 8^{0 + \sqrt{4}} - \sqrt{9 }\)
\(62 = 80 - \sqrt{4} \cdot 9 \)
\(63 = \frac{ \sqrt{49}! }{ 80 }\)
\(64 = 8 \cdot \sqrt{9} + 40 \)
\(65 = 80 - 4! + 9 \)
\(66 = 90 - ( 8 - 4 )!\)
\(67 = 80 - 4 - 9 \)
\(68 = \frac{ 408 }{ \sqrt{9 }! }\)
\(69 = 80 - \sqrt{4} - 9 \)
\(70 = 80 - 4 - \sqrt{9 }!\)
\(71 = 8 \cdot 9 - 4^{0 }\)
\(72 = ( 0 \cdot 4 + 8 ) \cdot 9 \)
\(73 = 80 - \sqrt{49 }\)
\(74 = 80 - \sqrt{4 \cdot 9 }\)
\(75 = 80 + 4 - 9 \)
\(76 = 84 + 0! - 9 \)
\(77 = 8 \cdot 9 + 0! + 4 \)
\(78 = 90 - 4 - 8 \)
\(79 = 80 - 4 + \sqrt{9 }\)
\(80 = \frac{ 480 }{ \sqrt{9 }! }\)
\(81 = 80 + 4 - \sqrt{9 }\)
\(82 = 80 - 4 + \sqrt{9 }!\)
\(83 = 84 - 9^{0 }\)
\(84 = 0 \cdot 9 + 84 \)
\(85 = 80 - 4 + 9 \)
\(86 = 90 + 4 - 8 \)
\(87 = \sqrt{49} + 80 \)
\(88 = 89 - 4^{0 }\)
\(89 = 0 \cdot 4 + 89 \)
\(90 = 4^{0} + 89 \)
\(91 = 80 + \sqrt{4} + 9 \)
\(92 = \frac{ 8 }{ 4 } + 90 \)
\(93 = 80 + 4 + 9 \)
\(94 = 90 - 4 + 8 \)
\(95 = 8^{0} + 94 \)
\(96 = ( 40 - 8 ) \cdot \sqrt{9 }\)
\(97 = 98 - 4^{0 }\)
\(98 = 0 \cdot 4 + 98 \)
\(99 = 4^{0} + 98 \)
\(100 = 90 + \sqrt{4} + 8 \)