All 100 targets have a solution.
\(1 = ( 447 \cdot 0 )!\)
\(2 = 47 \cdot 0 + \sqrt{4 }\)
\(3 = \frac{ 40 }{ 4 } - 7 \)
\(4 = 47 \cdot 0 + 4 \)
\(5 = 47^{0} + 4 \)
\(6 = 7 - 44^{0 }\)
\(7 = 47 - 40 \)
\(8 = 44^{0} + 7 \)
\(9 = 40 - 4! - 7 \)
\(10 = 4 - 4^{0} + 7 \)
\(11 = 0 \cdot 4 + 4 + 7 \)
\(12 = 40 - 4 \cdot 7 \)
\(13 = \sqrt{40 - 4} + 7 \)
\(14 = ( 0 \cdot 4 + \sqrt{4} ) \cdot 7 \)
\(15 = 0 + 4 + 4 + 7 \)
\(16 = ( 0 \cdot 7 + 4 ) \cdot 4 \)
\(17 = \frac{ 40 }{ 4 } + 7 \)
\(18 = \frac{ 70 + \sqrt{4} }{ 4 }\)
\(19 = ( 4 - 0! ) \cdot 4 + 7 \)
\(20 = ( 7^{0} + 4 ) \cdot 4 \)
\(21 = ( 4 - 4^{0} ) \cdot 7 \)
\(22 = 47 - 0! - 4 !\)
\(23 = 40 - 4! + 7 \)
\(24 = ( 47 \cdot 0 + 4 )!\)
\(25 = 47^{0} + 4 !\)
\(26 = 70 - 44 \)
\(27 = \frac{ 40 }{ \sqrt{4} } + 7 \)
\(28 = ( 0 \cdot 4 + 4 ) \cdot 7 \)
\(29 = 40 - 4 - 7 \)
\(30 = 4! - 4^{0} + 7 \)
\(31 = 40 - \sqrt{4} - 7 \)
\(32 = ( 4^{0} + 7 ) \cdot 4 \)
\(33 = \frac{ 70 - 4 }{ \sqrt{4 } }\)
\(34 = 74 - 40 \)
\(35 = 40 + \sqrt{4} - 7 \)
\(36 = 44 - 0! - 7 \)
\(37 = 40 + 4 - 7 \)
\(38 = 44 + 0! - 7 \)
\(39 = \frac{ 70 }{ \sqrt{4} } + 4 \)
\(40 = ( 4 - 0! + 7 ) \cdot 4 \)
\(41 = 47 - ( 4 - 0 ! )!\)
\(42 = \sqrt{40 - 4} \cdot 7 \)
\(43 = 40 - 4 + 7 \)
\(44 = 0 \cdot 7 + 44 \)
\(45 = 7^{0} + 44 \)
\(46 = 47 - 4^{0 }\)
\(47 = 0 \cdot 4 + 47 \)
\(48 = 4^{0} + 47 \)
\(49 = 40 + \sqrt{4} + 7 \)
\(50 = 44 - 0! + 7 \)
\(51 = 40 + 4 + 7 \)
\(52 = 44 + 0! + 7 \)
\(53 = ( 4 - 0! )! + 47 \)
\(54 = 70 - 4 \cdot 4 \)
\(55 = ( 4 + 4 ) \cdot 7 - 0 !\)
\(56 = ( 0 + 4 + 4 ) \cdot 7 \)
\(57 = 40 + 4! - 7 \)
\(58 = 70 - \frac{ 4! }{ \sqrt{4 } }\)
\(59 = \frac{ 70 }{ \sqrt{4} } + 4 !\)
\(60 = \frac{ ( 7^{0} + 4 )! }{ \sqrt{4 } }\)
\(61 = ( 4! + 7 ) \cdot \sqrt{4} - 0 !\)
\(62 = 70 - 4 - 4 \)
\(63 = \frac{ 7! }{ 40 \cdot \sqrt{4 } }\)
\(64 = 70 - 4 - \sqrt{4 }\)
\(65 = 4^{7 - 4} + 0 !\)
\(66 = ( 40 - 7 ) \cdot \sqrt{4 }\)
\(67 = \sqrt{4^{0} + 7!} - 4 \)
\(68 = 4 \cdot 7 + 40 \)
\(69 = 70 - \frac{ 4 }{ 4 }\)
\(70 = \frac{ 40 }{ 4 } \cdot 7 \)
\(71 = \frac{ 4 }{ 4 } + 70 \)
\(72 = 70 - \sqrt{4} + 4 \)
\(73 = 74 - 4^{0 }\)
\(74 = 0 \cdot 4 + 74 \)
\(75 = 4^{0} + 74 \)
\(76 = 70 + \sqrt{4} + 4 \)
\(77 = 74 - 0! + 4 \)
\(78 = 70 + 4 + 4 \)
\(79 = 74 + 0! + 4 \)
\(80 = ( 7 - \sqrt{4} )! - 40 \)
\(81 = ( 7 - ( 0 + 4 ) )^{4 }\)
\(82 = \frac{ 4! }{ \sqrt{4} } + 70 \)
\(83 = \frac{ 4! }{ \sqrt{4} } \cdot 7 - 0 !\)
\(84 = ( 4 - 0! ) \cdot 4 \cdot 7 \)
\(85 = ( 4! - 0! ) \cdot 4 - 7 \)
\(86 = 4 \cdot 4 + 70 \)
\(87 = 40 + 47 \)
\(88 = \sqrt{4}^{7} - 40 \)
\(89 = 7^{\sqrt{4}} + 40 \)
\(90 = 70 - 4 + 4 !\)
\(91 = ( \frac{ 4! }{ \sqrt{4} } + 0! ) \cdot 7 \)
\(92 = ( 47 - 0! ) \cdot \sqrt{4 }\)
\(93 = 47 \cdot \sqrt{4} - 0 !\)
\(94 = ( 40 + 7 ) \cdot \sqrt{4 }\)
\(95 = 47 \cdot \sqrt{4} + 0 !\)
\(96 = ( 47 + 0! ) \cdot \sqrt{4 }\)
\(97 = 74 - 0! + 4 !\)
\(98 = 70 + 4 + 4 !\)
\(99 = 74 + 0! + 4 !\)
\(100 = ( 7^{0} + 4! ) \cdot 4 \)