\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \DeclareMathOperator{\arsinh}{arsinh} \)

Integermania!

Four Fours

Four fours is a classic problem, dating back at least 90 years. Create each of the positive integers using four copies of 4, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.

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Use the online submissions page to get your Integermania solutions posted here!  This problem is now in semi-retired status, so you may submit an unlimited number of solutions each month.

Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).

  1 (1.0)
$\dfrac{4+4}{4+4}$
Carolyn Neptune, 3/06
Prairie Village, KS
2 (1.0)
$\dfrac{4 \times 4}{4 + 4}$
Carolyn Neptune, 4/06
Prairie Village, KS
3 (1.0)
$\dfrac{4 \times 4 - 4}{4}$
Dave Jones, 5/06
Coventry, England
4 (1.0)
$(4 - 4) \times 4 + 4$
Dave Jones, 5/06
Coventry, England
5 (1.0)
$\dfrac{4 \times 4 + 4}{4}$
Dave Jones, 5/06
Coventry, England
6 (1.0)
$4 + \dfrac{4+4}{4}$
Dave Jones, 5/06
Coventry, England
7 (1.0)
$4 + 4 - \dfrac44$
Dave Jones, 5/06
Coventry, England
8 (1.0)
$4 \times 4 - 4 - 4$
Christie Birzer, 3/06
Shawnee, KS
9 (1.0)
$4 + 4 + \dfrac44$
Dave Jones, 4/06
Coventry, England
10 (2.0)
$\dfrac{44 - 4}{4}$
Christie Birzer, 3/06
Shawnee, KS
  11 (2.2)
$\dfrac{4}{.4} + \dfrac44$
Matt Watters, 4/06
Prairie Village, KS
12 (1.0)
$4 \times \left( 4 - \dfrac44 \right)$
Levi Self, 6/06
San Antonio, TX
13 (2.4)
$\dfrac{4}{.\overline{44}} + 4$
Steve Wilson, 7/06
Raytown, MO
14 (2.4)
$\dfrac{4+4}{.\overline{4}} - 4$
Steve Wilson, 7/06
Raytown, MO
15 (1.0)
$4 \times 4 - \dfrac44$
Dave Jones, 4/06
Coventry, England
16 (1.0)
$4 \times 4 \times \dfrac44$
Dave Jones, 4/06
Coventry, England
17 (1.0)
$4 \times 4 + \dfrac44$
Dave Jones, 4/06
Coventry, England
18 (2.2)
$\dfrac{4}{.4} + 4 + 4$
Steve Wilson, 7/06
Raytown, MO
19 (2.4)
$\dfrac{4 + 4 - .4}{.4}$
Dave Jones, 1/07
Coventry, England
20 (1.0)
$4 \times \left( 4 + \dfrac44 \right)$
Dave Jones, 4/06
Coventry, England
  21 (2.2)
$\dfrac{4}{4 \times 4\%} - 4$
Dave Jones, 10/06
Coventry, England
22 (2.4)
$\dfrac{4 + 4}{.\overline{4}} + 4$
Steve Wilson, 7/06
Raytown, MO
23 (3.2)
$4! - 4^{4-4}$
Paolo Pellegrini, 7/08
Martina Franca, Italy
24 (1.0)
$4 \times 4 + 4 + 4$
Carolyn Neptune, 4/06
Prairie Village, KS
25 (2.4)
$4 \times 4 + \dfrac{4}{.\overline{4}}$
Dave Jones, 1/07
Coventry, England
26 (2.2)
$4 \times 4 + \dfrac{4}{.4}$
Dave Jones, 10/06
Coventry, England
27 (2.4)
$\dfrac{4 + 4 + 4}{.\overline{4}}$
Dave Jones, 1/07
Coventry, England
28 (1.0)
$4 \times (4 + 4) - 4$
Steve Wilson, 5/06
Raytown, MO
29 (2.2)
$\dfrac{4}{4 \times 4\%} + 4$
Dave Jones, 10/06
Coventry, England
30 (2.2)
$\dfrac{4 + 4 + 4}{.4}$
Steve Wilson, 6/06
Raytown, MO
  31 (3.2)
$\sqrt[.4]{4} - \dfrac44$
Paolo Pellegrini, 7/08
Martina Franca, Italy
32 (1.0)
$4 \times 4 + 4 \times 4$
Levi Self, 6/06
San Antonio, TX
33 (3.2)
$\sqrt[.4]{4} + \dfrac44$
Paolo Pellegrini, 7/08
Martina Franca, Italy
34 (2.2)
$44 -\dfrac{4}{.4}$
Dave Jones, 6/06
Coventry, England
35 (2.4)
$44 - \dfrac{4}{.\overline{4}}$
Steve Wilson, 8/06
Raytown, MO
36 (1.0)
$(4 + 4) \times 4 + 4$
Levi Self, 6/06
San Antonio, TX
37 (2.8)
$\dfrac{4 \times 4 + .\overline{4}}{.\overline{4}}$
Dave Jones, 4/07
Coventry, England
38 (3.2)
$44 - \dfrac{4!}{4}$
Steve Wilson, 10/08
Raytown, MO
39 (2.4)
$\dfrac{4 \times 4 - .4}{.4}$
Dave Jones, 1/07
Coventry, England
40 (2.4)
$4 \times \dfrac{4}{.\overline{4}} + 4$
Steve Wilson, 6/06
Raytown, MO
  41 (2.4)
$\dfrac{4 \times 4 + .4}{.4}$
Dave Jones, 1/07
Coventry, England
42 (3.2)
$44 - 4 + \sqrt{4}$
Steve Wilson, 8/06
Raytown, MO
43 (2.0)
$44 - \dfrac44$
Carolyn Neptune, 5/06
Prairie Village, KS
44 (2.0)
$44 \times \dfrac44$
Carolyn Neptune, 5/06
Prairie Village, KS
45 (2.0)
$44 + \dfrac44$
Carolyn Neptune, 5/06
Prairie Village, KS
46 (2.2)
$\dfrac{4}{(4+4)\%} - 4$
Steve Wilson, 1/07
Raytown, MO
47 (3.4)
$4! + 4! - \dfrac44$
Steve Wilson, 10/06
Raytown, MO
48 (1.0)
$(4 \times 4 - 4) \times 4$
Steve Wilson, 5/06
Raytown, MO
49 (3.2)
$\dfrac{.4}{(.\overline{4} + .\overline{4})\%} + 4$
Steve Wilson, 10/08
Raytown, MO
50 (2.2)
$\dfrac{4 \times 4 + 4}{.4}$
Steve Wilson, 6/06
Raytown, MO
  51 (3.4)
$\dfrac{\sqrt{4}}{4\%} + \dfrac44$
Paolo Pellegrini, 7/08
Martina Franca, Italy
52 (2.0)
$44 + 4 + 4$
Carolyn Neptune, 5/06
Prairie Village, KS
53 (2.4)
$44 + \dfrac{4}{.\overline{4}}$
Steve Wilson, 8/06
Raytown, MO
54 (2.2)
$44 + \dfrac{4}{.4}$
Dave Jones, 6/06
Coventry, England
55 (2.2)
$\dfrac{4.4}{(4 + 4)\%}$
Steve Wilson, 10/08
Raytown, MO
56 (2.2)
$\dfrac{4}{4\%} - 44$
Steve Wilson, 8/06
Raytown, MO
57 (3.6)
$\dfrac{4! + .4}{.4} - 4$
Paolo Pellegrini, 7/08
Martina Franca, Italy
58 (3.2)
$\dfrac{4^4 - 4!}{4}$
Steve Wilson, 10/08
Raytown, MO
59 (3.4)
$\dfrac{4!}{.4} - \dfrac44$
Ralph Jeffords, 2/07
Centreville, VA
60 (1.0)
$4 \times 4 \times 4 - 4$
Steve Wilson, 5/06
Raytown, MO
  61 (3.4)
$\dfrac{4!}{.4} + \dfrac44$
Steve Wilson, 3/06
Raytown, MO
62 (3.2)
$4 \times 4 \times 4 - \sqrt{4}$
Carolyn Neptune, 10/06
Prairie Village, KS
63 (3.0)
$\dfrac{4^4 - 4}{4}$
Steve Wilson, 11/06
Raytown, MO
64 (1.0)
$(4 + 4) \times (4 + 4)$
Steve Wilson, 5/06
Raytown, MO
65 (3.0)
$\dfrac{4^4 + 4}{4}$
Steve Wilson, 11/06
Raytown, MO
66 (3.2)
$4 \times 4 \times 4 + \sqrt{4}$
Carolyn Neptune, 10/06
Prairie Village, KS
67 (3.6)
$\dfrac{4! + 4}{.\overline{4}} + 4$
Ralph Jeffords, 3/07
Centreville, VA
68 (1.0)
$4 \times 4 \times 4 + 4$
Steve Wilson, 5/06
Raytown, MO
69 (3.6)
$\dfrac{4! + \sqrt{4}}{.4} + 4$
Steve Wilson, 12/06
Raytown, MO
70 (3.2)
$\dfrac{4^4 + 4!}{4}$
Steve Wilson, 10/08
Raytown, MO
  71 (3.4)
$\dfrac{4! + 4.4}{.4}$
Steve Wilson, 3/06
Raytown, MO
72 (2.4)
$(4 + 4) \times \dfrac{4}{.\overline{4}}$
Steve Wilson, 9/06
Raytown, MO
73 (3.8)
$\dfrac{\sqrt{4} - 4\%}{4\%} + 4!$
Steve Wilson, 12/07
Raytown, MO
74 (2.8)
$\dfrac{.4}{.\overline{4}\%} - 4 \times 4$
Steve Wilson, 9/06
Raytown, MO
75 (2.2)
$\dfrac{4 - \dfrac44}{4\%}$
Dave Jones, 11/06
Coventry, England
76 (3.2)
$4 \times (4! - 4) - 4$
Steve Wilson, 10/08
Raytown, MO
77 (3.0)
$\dfrac{.4 - 4\%}{.\overline{4}\%} - 4$
Steve Wilson, 2/07
Raytown, MO
78 (3.4)
$(4! - 4) \times 4 - \sqrt{4}$
Steve Wilson, 11/06
Raytown, MO
79 (3.6)
$\dfrac{ \sqrt[.4]{4} - .4}{.4}$
Paolo Pellegrini, 7/08
Martina Franca, Italy
80 (1.0)
$(4 \times 4 + 4) \times 4$
Levi Self, 6/06
San Antonio, TX
  81 (2.6)
$\dfrac{4 - .4}{4.\overline{4}\%}$
Dave Jones, 2/07
Coventry, England
82 (2.8)
$\dfrac{.4}{.\overline{4}\%} - 4 - 4$
Steve Wilson, 9/06
Raytown, MO
83 (3.8)
$\sqrt{ \left( \dfrac{4}{.\overline{4}} \right)^4} + \sqrt{4}$
Ralph Jeffords, 12/06
Centreville, VA
84 (2.2)
$\dfrac{4}{4\%} - 4 \times 4$
Dave Jones, 10/06
Coventry, England
85 (3.0)
$\dfrac{.4 - 4\%}{.\overline{4}\%} + 4$
Steve Wilson, 2/07
Raytown, MO
86 (2.4)
$\dfrac{4 - .4}{4\%} - 4$
Steve Wilson, 9/06
Raytown, MO
87 (3.2)
$\dfrac{.\overline{4} - 4\%}{.\overline{4}\%} - 4$
Steve Wilson, 10/08
Raytown, MO
88 (2.0)
$44 + 44$
Dave Jones, 9/06
Coventry, England
89 (2.4)
$\dfrac{4 - .44}{4\%}$
Dave Jones, 11/06
Coventry, England
90 (2.4)
$\dfrac{4}{4\%} - \dfrac{4}{.4}$
Steve Wilson, 6/06
Raytown, MO
  91 (2.6)
$\dfrac{4}{4\%} - \dfrac{4}{.\overline{4}}$
Steve Wilson, 1/06
Raytown, MO
92 (2.2)
$\dfrac{4}{4\%} - 4 - 4$
Carolyn Neptune, 6/06
Prairie Village, KS
93 (3.4)
$\dfrac{.4 - .\overline{4}\%}{.\overline{4}\%} + 4$
Steve Wilson, 10/08
Raytown, MO
94 (2.4)
$\dfrac{4 - .4}{4\%} + 4$
Steve Wilson, 9/06
Raytown, MO
95 (2.4)
$\dfrac{44}{.\overline{4}} - 4$
Dave Jones, 11/06
Coventry, England
96 (2.4)
$\dfrac{4 - 4 \times 4\%}{4\%}$
Dave Jones, 2/07
Coventry, England
97 (2.4)
$\dfrac{4 + 4\%}{4\%} - 4$
Dave Jones, 2/07
Coventry, England
98 (2.4)
$\dfrac{4 - (4 + 4)\%}{4\%}$
Dave Jones, 2/07
Coventry, England
99 (2.2)
$\dfrac{4}{4\%} - \dfrac44$
Carolyn Neptune, 4/06
Prairie Village, KS
100 (2.2)
$\dfrac{4}{4\%} + 4 - 4$
Steve Wilson, 1/06
Raytown, MO
  101 (2.2)
$\dfrac{4}{4\%} + \dfrac44$
Anders Skjäl, 2/04
Turku, Finland
102 (2.4)
$\dfrac{4 + (4+4)\%}{4\%}$
Dave Jones, 2/07
Coventry, England
103 (2.4)
$\dfrac{44}{.\overline{4}} + 4$
Steve Wilson, 7/03
Raytown, MO
104 (2.4)
$\dfrac{4 + 4 \times 4\%}{4\%}$
Dave Jones, 4/07
Coventry, England
105 (2.4)
$\dfrac{4 + 4\%}{4\%} + 4$
Dave Jones, 4/07
Coventry, England
106 (2.2)
$\dfrac{44}{.4} - 4$
Dave Jones, 3/06
Coventry, England
107 (3.6)
$\dfrac{4 + (4! + 4)\%}{4\%}$
Steve Wilson, 12/07
Raytown, MO
108 (2.2)
$\dfrac{4}{4\%} + 4 + 4$
Carolyn Neptune, 4/06
Prairie Village, KS
109 (2.4)
$\dfrac{44 - .4}{.4}$
Steve Wilson, 4/03
Raytown, MO
110 (2.4)
$\dfrac{4}{4\%} + \dfrac{4}{.4}$
Carolyn Neptune, 6/06
Prairie Village, KS
  111 (2.0)
$\dfrac{444}{4}$
Tim Murphy, 2/03
Olathe, KS
112 (3.2)
$4! \times 4 + 4 \times 4$
Adam Petrowsky, 5/03
Lenexa, KS
113 (3.2)
$\dfrac{.\overline{4} + 4\%}{.\overline{4}\%} + 4$
Paolo Pellegrini, 8/08
Martina Franca, Italy
114 (2.2)
$\dfrac{44}{.4} + 4$
John Kite, 4/03
Lenexa, KS
115 (3.2)
$\dfrac{.4 + \dfrac{.\overline{4}}{4}}{.\overline{4}\%}$
Steve Wilson, 10/08
Raytown, MO
116 (2.2)
$\dfrac{4}{4\%} + 4 \times 4$
Carolyn Neptune, 4/06
Prairie Village, KS
117 (3.8)
$\dfrac{4! + 4! + 4}{.\overline{4}}$
Paolo Pellegrini, 7/08
Martina Franca, Italy
118 (3.2)
$\dfrac{.\overline{4} + (4 + 4)\%}{.\overline{4}\%}$
Steve Wilson, 10/08
Raytown, MO
119 (3.6)
$\left( \dfrac{\sqrt{4}}{.4} \right)! - \dfrac44$
Steve Wilson, 9/03
Raytown, MO
120 (2.2)
$\dfrac{44 + 4}{.4}$
Dave Jones, 11/06
Coventry, England
  121 (3.2)
$\sqrt{ \left( \dfrac{44}{4} \right)^4}$
Paolo Pellegrini, 7/08
Martina Franca, Italy
122 (3.4)
$\left(4 + \dfrac44 \right)! + \sqrt{4}$
Steve Wilson, 11/03
Raytown, MO
123 (3.6)
$\dfrac{44}{.\overline{4}} + 4!$
Anders Skjäl, 5/04
Turku, Finland
124 (3.2)
$\dfrac{4^4}{\sqrt{4}} - 4$
Steve Wilson, 1/05
Raytown, MO
125 (2.2)
$\dfrac{4 + \dfrac44}{4\%}$
Dave Jones, 11/06
Coventry, England
126 (3.0)
$\dfrac{.4 + 4 \times 4\%}{.\overline{4}\%}$
Paolo Pellegrini, 7/08
Martina Franca, Italy
127 (3.4)
$\dfrac{4^4 - \sqrt{4}}{\sqrt{4}}$
Anders Skjäl, 2/04
Turku, Finland
128 (1.0)
$4 \times 4 \times (4 + 4)$
Fredrik Jansson, 12/03
Turku, Finland
129 (3.4)
$\dfrac{4^4 + \sqrt{4}}{\sqrt{4}}$
Steve Wilson, 2/04
Raytown, MO
130 (3.2)
$\dfrac{4^4 + 4}{\sqrt{4}}$
Paolo Pellegrini, 7/08
Martina Franca, Italy
  131 (3.8)
$\dfrac{4!}{.4 \times .\overline{4}} - 4$
Ralph Jeffords, 2/07
Centreville, VA
132 (3.2)
$\dfrac{4^4}{\sqrt{4}} + 4$
Carolyn Neptune, 2/04
Prairie Village, KS
133 (4.0)
$\dfrac{4!}{.4 \times .\overline{4}} - \sqrt{4}$
Steve Wilson, 3/06
Raytown, MO
134 (2.8)
$\dfrac{.4}{.\overline{4}\%} + 44$
Steve Wilson, 1/07
Raytown, MO
135 (2.8)
$\dfrac{\dfrac44 - .4}{.\overline{4}\%}$
Dave Jones, 4/07
Coventry, England
136 (3.2)
$\dfrac{.\overline{4} + 4 \times 4\%}{.\overline{4}\%}$
Steve Wilson, 10/08
Raytown, MO
137 (4.0)
$\dfrac{4!}{.4 \times .\overline{4}} + \sqrt{4}$
Steve Wilson, 3/06
Raytown, MO
138 (3.6)
$\dfrac{4! \times 4! - 4!}{4}$
Steve Wilson, 1/07
Raytown, MO
139 (3.8)
$\dfrac{4!}{.4 \times .\overline{4}} + 4$
Ralph Jeffords, 3/07
Centreville, VA
140 (2.4)
$\dfrac{4 + 4 \times .4}{4\%}$
Dave Jones, 4/07
Coventry, England
  141 (3.8)
$\dfrac{4 - 4\%}{4! \pmf} - 4!$
Paolo Pellegrini, 8/08
Martina Franca, Italy
142 (3.6)
$4! \times (4 + \sqrt{4}) - \sqrt{4}$
Steve Wilson, 8/04
Raytown, MO
143 (3.4)
$\dfrac{4! \times 4! - 4}{4}$
Steve Wilson, 9/04
Raytown, MO
144 (2.2)
$\dfrac{4}{4\%} + 44$
Dave Jones, 10/06
Coventry, England
145 (3.4)
$\dfrac{4! \times 4! + 4}{4}$
Steve Wilson, 10/04
Raytown, MO
146 (3.4)
$\dfrac{4 + \sqrt{4}}{4\%} - 4$
Steve Wilson, 10/08
Raytown, MO
147 (4.0)
$\dfrac{4! \times 4 + \sqrt{4}}{\sqrt{.\overline{4}}}$
Carolyn Neptune, 11/04
Prairie Village, KS
148 (3.4)
$4! \times (4 + \sqrt{4}) + 4$
Steve Wilson, 2/07
Raytown, MO
149 (3.4)
$\dfrac{ \dfrac{4!}{4\%} - 4}{4}$
Steve Wilson, 10/08
Raytown, MO
150 (2.4)
$\dfrac{ \dfrac{4}{.4} - 4}{4\%}$
Dave Jones, 5/07
Coventry, England
  151 (3.4)
$\dfrac{\dfrac{4!}{4\%} + 4}{4}$
Steve Wilson, 10/08
Raytown, MO
152 (3.2)
$44 \times 4 - 4!$
Carolyn Neptune, 11/06
Prairie Village, KS
153 (3.6)
$\dfrac{44 + 4!}{.\overline{4}}$
Ralph Jeffords, 5/07
Centreville, VA
154 (3.4)
$\dfrac{4 + \sqrt{4}}{4\%} + 4$
Steve Wilson, 2/05
Raytown, MO
155 (3.8)
$\dfrac{4 + \sqrt{4} + \sqrt{4\%}}{4\%}$
Steve Wilson, 3/05
Raytown, MO
156 (3.2)
$4^4 - \dfrac{4}{4\%}$
Carolyn Neptune, 3/07
Prairie Village, KS
157 (4.2)
$\sqrt[-\sqrt{.\overline{4}}]{4\%} + \sqrt[.4]{4}$
Paolo Pellegrini, 8/09
Martina Franca, Italy
158 (3.6)
$(4! - 4)^4 \pmf - \sqrt{4}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
159 (4.0)
$\dfrac{4!}{.4 \times .\overline{4}} + 4!$
Ralph Jeffords, 3/07
Centreville, VA
160 (2.0)
$(44 - 4) \times 4$
Dave Jones, 12/06
Coventry, England
  161 (3.6)
$\dfrac{4 - 4\%}{4! \pmf} - 4$
Paolo Pellegrini, 8/08
Martina Franca, Italy
162 (3.6)
$(4! - 4)^4 \pmf + \sqrt{4}$
Steve Wilson, 8/08
Raytown, MO
163 (3.8)
$\dfrac{4 - 4\%}{4! \pmf} - \sqrt{4}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
164 (3.4)
$\dfrac{4^4 \% + 4}{4\%}$
Steve Wilson, 10/08
Raytown, MO
165 (3.8)
$\dfrac{44}{.4 \times \sqrt{.\overline{4}}}$
Steve Wilson, 11/05
Raytown, MO
166 (3.8)
$4^4 - \dfrac{.4}{.\overline{4}\%}$
Steve Wilson, 3/07
Raytown, MO
167 (3.6)
$\dfrac{4 + (4 + 4) \pmf}{4! \pmf}$
Steve Wilson, 6/08
Raytown, MO
168 (3.2)
$4 \times (44 - \sqrt{4})$
Carolyn Neptune, 3/07
Prairie Village, KS
169 (3.6)
$\sqrt{ \left(4 + \dfrac{4}{.\overline{4}} \right)^4}$
Steve Wilson, 4/06
Raytown, MO
170 (3.4)
$\dfrac{44 + 4!}{.4}$
Ralph Jeffords, 3/07
Centreville, VA
  171 (3.2)
$\dfrac{.4 + .4 - 4\%}{.\overline{4}\%}$
Paolo Pellegrini, 5/08
Martina Franca, Italy
172 (2.0)
$44 \times 4 - 4$
Kimberly Grosdidier, 12/05
Overland Park, KS
173 (4.0)
$\dfrac{4 + \sqrt{4\%}}{4! \pmf} - \sqrt{4}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
174 (3.2)
$4 \times 44 - \sqrt{4}$
Carolyn Neptune, 1/06
Prairie Village, KS
175 (3.4)
$\dfrac{4! + 4}{4 \times 4\%}$
Steve Wilson, 10/08
Raytown, MO
176 (3.0)
$\dfrac{.4 + .4}{.\overline{4}\%} - 4$
Steve Wilson, 10/08
Raytown, MO
177 (4.0)
$\dfrac{4 + \sqrt{4\%}}{4! \pmf} + \sqrt{4}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
178 (3.2)
$4 \times 44 + \sqrt{4}$
Carolyn Neptune, 1/06
Prairie Village, KS
179 (3.4)
$\dfrac{(4 + \sqrt{4})! - 4}{4}$
Steve Wilson, 4/07
Raytown, MO
180 (2.0)
$4 \times 44 + 4$
Nancy Vaughn, 3/03
Shawnee, KS
  181 (3.4)
$\dfrac{(4 + \sqrt{4})! + 4}{4}$
Steve Wilson, 4/07
Raytown, MO
182 (3.6)
$\dfrac{(4 + \sqrt{4})!}{4} + \sqrt{4}$
Steve Wilson, 4/07
Raytown, MO
183 (4.4)
$\dfrac{ \dfrac{4!}{\sqrt{4\%}} + \sqrt{4}}{\sqrt{.\overline{4}}}$
Steve Wilson, 5/07
Raytown, MO
184 (3.0)
$\dfrac{.4 + .4}{.\overline{4}\%} + 4$
Steve Wilson, 10/08
Raytown, MO
185 (3.4)
$\dfrac{4.44}{4! \pmf}$
Paolo Pellegrini, 7/08
Martina Franca, Italy
186 (3.2)
$\dfrac{.4 + .\overline{4}}{.\overline{4}\%} - 4$
Steve Wilson, 7/08
Raytown, MO
187 (4.0)
$\dfrac{4 - (4! + \sqrt{4})\%}{(\sqrt{4})\%}$
Steve Wilson, 1/08
Raytown, MO
188 (3.2)
$4! \times (4 + 4) - 4$
Anders Skjäl, 12/03
Turku, Finland
189 (3.0)
$\dfrac{44\% + .4}{.\overline{4}\%}$
Paolo Pellegrini, 5/08
Martina Franca, Italy
190 (2.4)
$\dfrac{4 + 4 - .4}{4\%}$
Dave Jones, 5/07
Coventry, England
  191 (3.8)
$\dfrac{4}{(\sqrt{4})\%} - \dfrac{4}{.\overline{4}}$
Steve Wilson, 5/07
Raytown, MO
192 (2.0)
$4 \times (44 + 4)$
Carolyn Neptune, 3/06
Prairie Village, KS
193 (4.4)
$\sqrt{\sqrt{ .\overline{4}\% ^{-4}}} - \sqrt[.4]{4}$
Steve Wilson, 12/08
Raytown, MO
194 (3.2)
$\dfrac{.4 + .\overline{4}}{.\overline{4}\%} + 4$
Paolo Pellegrini, 7/08
Martina Franca, Italy
195 (3.6)
$\dfrac{4 + 4 - \sqrt{4\%}}{4\%}$
Paolo Pellegrini, 7/08
Martina Franca, Italy
196 (2.2)
$\dfrac{4 + 4}{4\%} - 4$
Dave Jones, 3/06
Coventry, England
197 (3.8)
$\dfrac{4 - \dfrac{4!\%}{4}}{(\sqrt{4})\%}$
Steve Wilson, 12/07
Raytown, MO
198 (3.4)
$\dfrac{4 + 4}{4\%} - \sqrt{4}$
Carolyn Neptune, 11/06
Prairie Village, KS
199 (2.4)
$\dfrac{4 + 4 - 4\%}{4\%}$
Dave Jones, 5/07
Coventry, England
200 (2.2)
$\dfrac{4}{(4 + 4)\%} \times 4$
Paolo Pellegrini, 7/08
Martina Franca, Italy
  201 (2.4)
$\dfrac{4 + 4 + 4\%}{4\%}$
Dave Jones, 5/07
Coventry, England
202 (3.4)
$\dfrac{4 + 4}{4\%} + \sqrt{4}$
Carolyn Neptune, 11/06
Prairie Village, KS
203 (3.8)
$\dfrac{4 + \dfrac{4!\%}{4}}{(\sqrt{4})\%}$
Steve Wilson, 12/07
Raytown, MO
204 (2.2)
$\dfrac{4 + 4}{4\%} + 4$
Dave Jones, 3/06
Coventry, England
205 (3.8)
$\dfrac{4}{(\sqrt{4})\%} + \dfrac{\sqrt{4}}{.4}$
Steve Wilson, 7/07
Raytown, MO
206 (3.4)
$4^4 - \dfrac{\sqrt{4}}{4\%}$
Steve Wilson, 10/08
Raytown, MO
207 (3.6)
$\dfrac{4! \times 4 - 4}{.\overline{4}}$
Paolo Pellegrini, 5/08
Martina Franca, Italy
208 (3.4)
$4^4 - 4! - 4!$
Steve Wilson, 6/05
Raytown, MO
209 (3.8)
$\dfrac{4}{(\sqrt{4})\%} + \dfrac{4}{.\overline{4}}$
Steve Wilson, 7/07
Raytown, MO
210 (2.2)
$\dfrac{4.4 + 4}{4\%}$
Dave Jones, 12/06
Coventry, England
  211 (4.0)
$\dfrac{4 + (4! - \sqrt{4})\%}{(\sqrt{4})\%}$
Steve Wilson, 1/08
Raytown, MO
212 (3.0)
$4^4 - 44$
Ralph Jeffords, 5/07
Centreville, VA
213 (4.0)
$\dfrac{4 + (4! + \sqrt{4})\%}{(\sqrt{4})\%}$
Steve Wilson, 4/08
Raytown, MO
214 (3.8)
$\dfrac{4}{.\overline{4}} \times 4! - \sqrt{4}$
Steve Wilson, 8/07
Raytown, MO
215 (2.8)
$\dfrac{ \dfrac{4}{.\overline{4}} - .4}{4\%}$
Dave Jones, 5/07
Coventry, England
216 (2.6)
$\dfrac{\dfrac{4}{4\%} - 4}{.\overline{4}}$
Dave Jones, 6/07
Coventry, England
217 (4.0)
$\dfrac{4! \times 4 + .\overline{4}}{.\overline{4}}$
Steve Wilson, 10/07
Raytown, MO
218 (3.8)
$\dfrac{4}{.\overline{4}} \times 4! + \sqrt{4}$
Steve Wilson, 9/05
Raytown, MO
219 (3.8)
$\sqrt[.4]{\dfrac{4}{.\overline{4}}} - 4!$
Steve Wilson, 8/07
Raytown, MO
220 (3.4)
$\sqrt{4} \times \dfrac{44}{.4}$
Ralph Jeffords, 4/07
Centreville, VA
  221 (2.6)
$\dfrac{4}{4\% \times .\overline{4}} - 4$
Ralph Jeffords, 1/07
Centreville, VA
222 (3.2)
$\dfrac{444}{\sqrt{4}}$
Carolyn Neptune, 1/06
Prairie Village, KS
223 (3.8)
$\dfrac{4}{4\% \times .\overline{4}} - \sqrt{4}$
Ralph Jeffords, 1/07
Centreville, VA
224 (2.6)
$\dfrac{ \dfrac{4}{.\overline{4}\%} - 4}{4}$
Dave Jones, 6/07
Coventry, England
225 (2.6)
$\dfrac{4}{4\% \times .\overline{44}}$
Ralph Jeffords, 1/07
Centreville, VA
226 (2.6)
$\dfrac{ \dfrac{4}{.\overline{4}\%} + 4}{4}$
Dave Jones, 6/07
Coventry, England
227 (3.8)
$\dfrac{4}{4\% \times .\overline{4}} + \sqrt{4}$
Steve Wilson, 8/07
Raytown, MO
228 (3.2)
$4^4 - 4! - 4$
Steve Wilson, 7/05
Raytown, MO
229 (2.6)
$\dfrac{4}{4\% \times .\overline{4}} + 4$
Ralph Jeffords, 1/07
Centreville, VA
230 (3.4)
$4^4 - 4! - \sqrt{4}$
Ralph Jeffords, 5/07
Centreville, VA
  231 (3.8)
$\dfrac{ \dfrac{4}{.\overline{4}\%} + 4!}{4}$
Steve Wilson, 1/08
Raytown, MO
232 (3.4)
$\sqrt{(4 \times 4)^4} - 4!$
Steve Wilson, 2/08
Raytown, MO
233 (4.2)
$\sqrt{ \sqrt{ .\overline{4}\% ^{-4}}} + 4 + 4$
Steve Wilson, 12/08
Raytown, MO
234 (2.6)
$\dfrac{ \dfrac{4}{4\%} + 4}{.\overline{4}}$
Dave Jones, 6/07
Coventry, England
235 (2.8)
$\dfrac{ \dfrac{4}{.\overline{4}} + .4}{4\%}$
Dave Jones, 6/07
Coventry, England
236 (3.2)
$4^4 - 4! + 4$
Ralph Jeffords, 7/07
Centreville, VA
237 (4.2)
$\dfrac{ \dfrac{\sqrt{4}}{.\overline{4}\%} + 4!}{\sqrt{4}}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
238 (3.6)
$\dfrac{4}{.4} \times 4! - \sqrt{4}$
Steve Wilson, 9/05
Raytown, MO
239 (3.6)
$\sqrt[.4]{\dfrac{4}{.\overline{4}}} - 4$
Steve Wilson, 8/07
Raytown, MO
240 (2.4)
$\dfrac{ \dfrac{4}{4\%} - 4}{.4}$
Dave Jones, 7/07
Coventry, England
  241 (3.2)
$\dfrac{ \dfrac{.\overline{4}}{.4\%} - 4}{.\overline{4}}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
242 (3.6)
$4! \times \dfrac{4}{.4} + \sqrt{4}$
Steve Wilson, 2/08
Raytown, MO
243 (3.4)
$\sqrt[ \sqrt{4\%}]{4 - \dfrac44}$
Steve Wilson, 10/08
Raytown, MO
244 (3.4)
$4^4 - \dfrac{4!}{\sqrt{4}}$
Ralph Jeffords, 7/07
Centreville, VA
245 (3.6)
$\dfrac{4! \times 4 + \sqrt{4}}{.4}$
Steve Wilson, 5/08
Raytown, MO
246 (2.4)
$\dfrac{4}{4 \times .4\%} - 4$
Dave Jones, 7/07
Coventry, England
247 (3.4)
$4^4 - \dfrac{4}{.\overline{4}}$
Ralph Jeffords, 7/07
Centreville, VA
248 (3.0)
$4^4 - 4 - 4$
Kelsey Thomas, 2/05
Olathe, KS
249 (2.4)
$\dfrac{ \dfrac{4}{.4\%} - 4}{4}$
Dave Jones, 8/07
Coventry, England
250 (2.8)
$\dfrac{4.\overline{4}}{4 \times .\overline{4}\%}$
Dave Jones, 1/08
Coventry, England
  251 (2.4)
$\dfrac{ \dfrac{4}{.4\%} + 4}{4}$
Dave Jones, 8/07
Coventry, England
252 (3.2)
$4^4 - \sqrt{4 \times 4}$
Ralph Jeffords, 9/07
Centreville, VA
253 (3.6)
$4^4 - \sqrt{ \dfrac{4}{.\overline{4}}}$
Ralph Jeffords, 7/07
Centreville, VA
254 (2.4)
$\dfrac{4}{4 \times .4\%} + 4$
Dave Jones, 8/07
Coventry, England
255 (3.0)
$4^4 - \dfrac44$
Jared Northrup, 4/03
Lawrence, KS
256 (1.0)
$4 \times 4 \times 4 \times 4$
Joseph Mavungu, 3/03
Olathe, KS
257 (3.0)
$4^4 + \dfrac44$
Cate Henderson, 4/05
Merriam, KS
258 (3.2)
$4^4 + 4 - \sqrt{4}$
Steve Wilson, 10/05
Raytown, MO
259 (3.2)
$\dfrac{ \dfrac{.\overline{4}}{.4\%} + 4}{.\overline{4}}$
Steve Wilson, 10/08
Raytown, MO
260 (2.4)
$\dfrac{ \dfrac{4}{4\%} + 4}{.4}$
Dave Jones, 8/07
Coventry, England
  261 (3.4)
$4^4 + \dfrac{\sqrt{4}}{.4}$
Carolyn Neptune, 5/07
Prairie Village, KS
262 (3.2)
$4^4 + 4 + \sqrt{4}$
Steve Wilson, 11/07
Raytown, MO
263 (4.8)
$4^4 + 4 + \coth \ln \sqrt{\sqrt{4}}$
Steve Wilson, 1/08
Raytown, MO
264 (3.0)
$4^4 + 4 + 4$
Sydney Barker, 5/03
Stilwell, KS
265 (3.4)
$4^4 + \dfrac{4}{.\overline{4}}$
Steve Wilson, 11/07
Raytown, MO
266 (3.2)
$4^4 + \dfrac{4}{.4}$
Carolyn Neptune, 3/07
Prairie Village, KS
267 (3.8)
$\sqrt[.4]{\dfrac{4}{.\overline{4}}} + 4!$
Steve Wilson, 8/07
Raytown, MO
268 (3.4)
$4^4 + \dfrac{4!}{\sqrt{4}}$
Steve Wilson, 11/05
Raytown, MO
269 (4.2)
$\sqrt{\sqrt{ .\overline{4}\% ^{-4}}} + 44$
Steve Wilson, 12/08
Raytown, MO
270 (3.0)
$\dfrac{4 \times .4 - .4}{.\overline{4}\%}$
Steve Wilson, 10/08
Raytown, MO
  271 (4.4)
$4^4 + \sqrt{\sqrt{\sqrt{ .\overline{4}\% ^{-4}}}}$
Steve Wilson, 12/08
Raytown, MO
272 (3.0)
$4^4 + 4 \times 4$
Cate Henderson, 5/05
Merriam, KS
273 (4.6)
$\sqrt{\sqrt{ .\overline{4}\% ^{-4}}} + 4! + 4!$
Steve Wilson, 12/08
Raytown, MO
274 (3.4)
$\dfrac{4}{4 \times 4 \pmf} + 4!$
Steve Wilson, 10/08
Raytown, MO
275 (2.2)
$\dfrac{44}{4 \times 4\%}$
Dave Jones, 3/06
Coventry, England
276 (3.2)
$4^4 + 4! - 4$
Steve Wilson, 11/07
Raytown, MO
277 (4.6)
$4^4 + \cot\arctan(4\%) - 4$
Steve Wilson, 9/23
Lawrence, KS
278 (3.4)
$4^4 + 4! - \sqrt{4}$
Steve Wilson, 11/05
Raytown, MO
279 (3.8)
$\dfrac{\dfrac{4}{4\%} + 4!}{.\overline{4}}$
Paolo Pellegrini, 5/08
Martina Franca, Italy
280 (3.4)
$\sqrt{(4 \times 4)^4} + 4!$
Steve Wilson, 2/08
Raytown, MO
  281 (3.8)
$4^4 + \sqrt{\sqrt{ 4\% ^{-4}}}$
Paolo Pellegrini, 8/09
Martina Franca, Italy
282 (3.4)
$4^4 + 4! + \sqrt{4}$
Steve Wilson, 5/08
Raytown, MO
283 (4.8)
$4^4 + \cot\arctan(4\%) + \sqrt{4}$
Steve Wilson, 9/23
Lawrence, KS
284 (3.2)
$4^4 + 4! + 4$
Steve Wilson, 11/07
Raytown, MO
285 (4.2)
$\dfrac{ 4! + \dfrac{.4}{.\overline{4}\%}}{.4}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
286 (3.8)
$4^4 + \sqrt{ \dfrac{4}{.\overline{4}\%}}$
Ralph Jeffords, 9/07
Centreville, VA
287 (3.8)
$\dfrac{4! \times 4! - \sqrt{4}}{\sqrt{4}}$
Steve Wilson, 5/08
Raytown, MO
288 (3.2)
$4^4 + \sqrt[.4]{4}$
Ralph Jeffords, 12/07
Centreville, VA
289 (3.8)
$\dfrac{4! \times 4! + \sqrt{4}}{\sqrt{4}}$
Steve Wilson, 5/08
Raytown, MO
290 (3.8)
$4! \times \dfrac{4!}{\sqrt{4}} + \sqrt{4}$
Steve Wilson, 4/08
Raytown, MO
  291 (4.4)
$\sqrt{ \dfrac{4}{.\overline{4}\%\%}} - \dfrac{4}{.\overline{4}}$
Ralph Jeffords, 10/07
Centreville, VA
292 (3.6)
$4! \times \dfrac{4!}{\sqrt{4}} + 4$
Steve Wilson, 4/08
Raytown, MO
293 (4.8)
$\coth\ln\coth\arsinh(4 + 4 + 4) + 4$
Steve Wilson, 9/23
Lawrence, KS
294 (4.0)
$\dfrac{4! - 4.4}{\sqrt{.\overline{4}\%}}$
Steve Wilson, 11/08
Raytown, MO
295 (3.6)
$\dfrac{4! - .4}{(4 + 4)\%}$
Paolo Pellegrini, 5/08
Martina Franca, Italy
296 (3.4)
$\dfrac{4!}{(4 + 4)\%} - 4$
Steve Wilson, 10/08
Raytown, MO
297 (3.8)
$\dfrac{4! - 4!\%}{(4 + 4)\%}$
Steve Wilson, 7/24
Lawrence, KS
298 (3.6)
$\dfrac{ \dfrac{4!}{4\%} - 4}{\sqrt{4}}$
Steve Wilson, 5/08
Raytown, MO
299 (3.8)
$\dfrac{ \dfrac{4!}{4\%} - \sqrt{4}}{\sqrt{4}}$
Steve Wilson, 5/08
Raytown, MO
300 (2.2)
$\dfrac{4 + 4 + 4}{4\%}$
Dave Jones, 3/06
Coventry, England
  301 (3.8)
$\dfrac{ \dfrac{4!}{4\%} + \sqrt{4}}{\sqrt{4}}$
Steve Wilson, 5/08
Raytown, MO
302 (3.6)
$\dfrac{ \dfrac{4!}{4\%} + 4}{\sqrt{4}}$
Steve Wilson, 5/08
Raytown, MO
303 (3.8)
$\dfrac{4! + 4!\%}{(4 + 4)\%}$
Steve Wilson, 7/24
Lawrence, KS
304 (3.4)
$\dfrac{4!}{(4 + 4)\%} + 4$
Paolo Pellegrini, 5/08
Martina Franca, Italy
305 (3.6)
$\dfrac{4! + .4}{(4 + 4)\%}$
Paolo Pellegrini, 5/08
Martina Franca, Italy
306 (3.4)
$4^4 + \dfrac{\sqrt{4}}{4\%}$
Paolo Pellegrini, 5/08
Martina Franca, Italy
307 (4.6)
$4^4 + 4! \times \cosh\ln 4$
Steve Wilson, 9/23
Lawrence, KS
308 (4.0)
$\sqrt{\dfrac{4}{.\overline{4}\%\%}} + 4 + 4$
Ralph Jeffords, 2/08
Centreville, VA
309 (4.4)
$\sqrt{\dfrac{4}{.\overline{4}\%\%}} + \dfrac{4}{.\overline{4}}$
Steve Wilson, 5/08
Raytown, MO
310 (3.2)
$\dfrac{4 \times .\overline{4} - .4}{.\overline{4}\%}$
Steve Wilson, 10/08
Raytown, MO
  311 (5.2)
$\cot\arctan (4\pm) + \dfrac{4! + .4}{.4}$
Steve Wilson, 9/08
Raytown, MO
312 (3.6)
$4! \times \left(4 + \dfrac{4}{.\overline{4}} \right)$
Paolo Pellegrini, 5/08
Martina Franca, Italy
313 (4.8)
$\dfrac{\cot\arctan(4\%\%) + 4}{4 + 4}$
Steve Wilson, 9/23
Lawrence, KS
314 (4.6)
$\cot\arctan (4\pm) + 4 \times 4 \times 4$
Steve Wilson, 6/08
Raytown, MO
315 (2.8)
$\dfrac{\dfrac44 + .4}{.\overline{4}\%}$
Dave Jones, 11/07
Coventry, England
316 (3.4)
$4^4 + \dfrac{4!}{.4}$
Paolo Pellegrini, 5/08
Martina Franca, Italy
317 (5.2)
$\cot\arctan (.\overline{4}\%) + 4 \times 4! - 4$
Steve Wilson, 7/08
Raytown, MO
318 (3.8)
$\sqrt{ \dfrac{4}{4^{-4}\%}} - \sqrt{4}$
Paolo Pellegrini, 8/09
Martina Franca, Italy
319 (4.8)
$\dfrac{4}{\left(\cosh\ln\sqrt{4}\right)\%} - \dfrac44$
Steve Wilson, 9/23
Lawrence, KS
320 (3.2)
$(4! - 4) \times 4 \times 4$
Paolo Pellegrini, 6/08
Martina Franca, Italy
  321 (4.4)
$\sqrt{\sqrt{ .\overline{4}\% ^{-4}}} + 4! \times 4$
Steve Wilson, 12/08
Raytown, MO
322 (3.8)
$\sqrt{ \dfrac{4}{4^{-4}\%}} + \sqrt{4}$
Steve Wilson, 8/09
Raytown, MO
323 (5.4)
$\cot\arctan (.\overline{4}\%) + \dfrac{4}{4\%} - \sqrt{4}$
Steve Wilson, 7/08
Raytown, MO
324 (3.0)
$\dfrac{4}{.\overline{4}\%} \times (.4 - 4\%)$
Paolo Pellegrini, 6/08
Martina Franca, Italy
325 (2.6)
$\dfrac{4 + \dfrac{4}{.\overline{4}}}{4\%}$
Dave Jones, 11/07
Coventry, England
326 (4.2)
$\dfrac{4! - \sqrt{4}}{\sqrt{.\overline{4}\%}} - 4$
Steve Wilson, 11/08
Raytown, MO
327 (5.4)
$\cot\arctan (.\overline{4}\%) + \dfrac{4}{4\%} + \sqrt{4}$
Steve Wilson, 7/08
Raytown, MO
328 (3.6)
$\dfrac{4 + 4^4\%}{(\sqrt{4})\%}$
Steve Wilson, 7/24
Lawrence, KS
329 (5.0)
$\dfrac{4! - \sqrt{4} - \sqrt{.\overline{4}\%}}{\sqrt{.\overline{4}\%}}$
Steve Wilson, 11/08
Raytown, MO
330 (4.2)
$\dfrac{4! - \sqrt{4}}{\sqrt{.\overline{44}\%}}$
Steve Wilson, 7/24
Lawrence, KS
  331 (5.0)
$\dfrac{4! - \sqrt{4} + \sqrt{.\overline{4}\%}}{\sqrt{.\overline{4}\%}}$
Steve Wilson, 11/08
Raytown, MO
332 (4.2)
$\dfrac{4!}{\sqrt{.\overline{4}\%}} - 4! - 4$
Paolo Pellegrini, 6/08
Martina Franca, Italy
333 (3.8)
$\dfrac{\sqrt{4}}{4! \pmf} \times (4 - 4 \pm)$
Paolo Pellegrini, 8/08
Martina Franca, Italy
334 (4.2)
$\dfrac{4! - \sqrt{4}}{\sqrt{.\overline{4}\%}} + 4$
Steve Wilson, 11/08
Raytown, MO
335 (4.8)
$\dfrac{4!}{\sqrt{.\overline{4}\%}} - \sqrt{\sqrt{ 4\%^{-4}}}$
Steve Wilson, 10/08
Raytown, MO
336 (3.4)
$4! \times \left(4 + \dfrac{4}{.4} \right)$
Paolo Pellegrini, 5/08
Martina Franca, Italy
337 (4.8)
$4^4 + \left(\coth\ln\sqrt{\sqrt{4}}\right)^4$
Steve Wilson, 9/23
Lawrence, KS
338 (3.8)
$\dfrac{\sqrt{(4! + \sqrt{4})^4}}{\sqrt{4}}$
Steve Wilson, 5/08
Raytown, MO
339 (4.6)
$\dfrac{4! + \sqrt{4\%}}{\sqrt{.\overline{4}\%}} - 4!$
Steve Wilson, 11/08
Raytown, MO
340 (3.4)
$\dfrac{.4 + \dfrac{.\overline{4}}{.4}}{.\overline{4}\%}$
Paolo Pellegrini, 7/08
Martina Franca, Italy
  341 (4.8)
$\coth\left(4 \times \arsinh\sqrt{\dfrac{4!}{4}}\right) + 4$
Steve Wilson, 9/23
Lawrence, KS
342 (4.2)
$\dfrac{(4 - \sqrt{4\%}) \times .4}{.\overline{4}\%}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
343 (4.0)
$\sqrt{\sqrt{\sqrt{\left(\dfrac{4! + 4}{4}\right)^{4!}}}}$
Steve Wilson, 9/23
Lawrence, KS
344 (2.8)
$4 \times \left( \dfrac{.4}{.\overline{4}\%} - 4 \right)$
Dave Jones, 11/07
Coventry, England
345 (4.0)
$\dfrac{4! - \dfrac44}{\sqrt{.\overline{4}\%}}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
346 (3.8)
$4^4 + \dfrac{.4}{.\overline{4}\%}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
347 (5.8)
$\cot\arctan (.\overline{4}\%) + \left( \dfrac{\sqrt{4}}{.4} \right)! + \sqrt{4}$
Steve Wilson, 9/08
Raytown, MO
348 (3.8)
$\dfrac{4^4 - 4!}{\sqrt{.\overline{4}}}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
349 (5.4)
$\cot\arctan (.\overline{4}\%) + \dfrac{4}{4\%} + 4!$
Steve Wilson, 7/08
Raytown, MO
350 (2.4)
$\dfrac{ \dfrac{4}{.4} + 4}{4\%}$
Dave Jones, 8/07
Coventry, England
  351 (3.0)
$\dfrac{4 \times .4 - 4\%}{.\overline{4}\%}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
352 (2.0)
$44 \times (4 + 4)$
Brad Anderson, 9/06
Overland Park, KS
353 (4.4)
$\dfrac{4! - \sqrt{4\%}}{\sqrt{.\overline{4}\%}} - 4$
Steve Wilson, 11/08
Raytown, MO
354 (4.0)
$\dfrac{\sqrt{4}}{.\overline{4}\%} - 4! \times 4$
Paolo Pellegrini, 6/08
Martina Franca, Italy
355 (4.4)
$\dfrac{4!}{\sqrt{.\overline{4}\%}} - \dfrac{\sqrt{4}}{.4}$
Steve Wilson, 7/08
Raytown, MO
356 (2.8)
$\dfrac{.4}{.\overline{4}\%} \times 4 - 4$
Dave Jones, 11/07
Coventry, England
357 (4.4)
$\dfrac{4! - \dfrac{.4}{\sqrt{4}}}{\sqrt{.\overline{4}\%}}$
Steve Wilson, 11/08
Raytown, MO
358 (4.0)
$\dfrac{.4}{.\overline{4}\%} \times 4 - \sqrt{4}$
Steve Wilson, 7/08
Raytown, MO
359 (3.4)
$\dfrac{4 \times .4 - .\overline{4}\%}{.\overline{4}\%}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
360 (2.4)
$\dfrac{4 \times 4}{4.\overline{4}\%}$
Dave Jones, 12/06
Coventry, England
  361 (3.4)
$\dfrac{4 \times .4 + .\overline{4}\%}{.\overline{4}\%}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
362 (4.0)
$\dfrac{.4}{.\overline{4}\%} \times 4 + \sqrt{4}$
Steve Wilson, 7/08
Raytown, MO
363 (4.4)
$\dfrac{4! + \dfrac{.4}{\sqrt{4}}}{\sqrt{.\overline{4}\%}}$
Steve Wilson, 11/08
Raytown, MO
364 (2.8)
$\dfrac{.4}{.\overline{4}\%} \times 4 + 4$
Dave Jones, 11/07
Coventry, England
365 (4.4)
$\dfrac{4!}{\sqrt{.\overline{4}\%}} + \dfrac{\sqrt{4}}{.4}$
Steve Wilson, 7/08
Raytown, MO
366 (4.2)
$\dfrac{4!}{\sqrt{.\overline{4}\%}} + 4 + \sqrt{4}$
Steve Wilson, 7/08
Raytown, MO
367 (4.4)
$\dfrac{4! + \sqrt{4\%}}{\sqrt{.\overline{4}\%}} + 4$
Steve Wilson, 11/08
Raytown, MO
368 (3.2)
$(4 \times 4! - 4) \times 4$
Paolo Pellegrini, 6/08
Martina Franca, Italy
369 (3.0)
$\dfrac{4 \times .4 + 4\%}{.\overline{4}\%}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
370 (4.0)
$\dfrac{4! + \dfrac{\sqrt{4}}{4\%}}{\sqrt{4\%}}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
  371 (3.8)
$\dfrac{4}{4! \times .\overline{4} \pmf} - 4$
Paolo Pellegrini, 8/08
Martina Franca, Italy
372 (3.8)
$\dfrac{ (4 + \sqrt{4})! + 4!}{\sqrt{4}}$
Steve Wilson, 9/08
Raytown, MO
373 (4.0)
$\dfrac{4}{4! \times .\overline{4} \pmf} - \sqrt{4}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
374 (4.0)
$\dfrac{ \dfrac{4}{.\overline{4}\pmf} - 4!}{4!}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
375 (3.4)
$\dfrac{.4}{\left( \dfrac{.\overline{4}}{4} - .\overline{4}\% \right)\%}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
376 (2.8)
$4 \times \left( 4 + \dfrac{.4}{.\overline{4}\%} \right)$
Dave Jones, 1/08
Coventry, England
377 (4.0)
$\dfrac{4}{4! \times .\overline{4} \pmf} + \sqrt{4}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
378 (3.6)
$\dfrac{4^4 - 4}{\sqrt{.\overline{4}}}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
379 (3.8)
$\dfrac{4}{4! \times .\overline{4} \pmf} + 4$
Paolo Pellegrini, 8/08
Martina Franca, Italy
380 (3.2)
$4 \times 4! \times 4 - 4$
Steve Wilson, 6/08
Raytown, MO
  381 (3.8)
$\dfrac{4^4 - \sqrt{4}}{\sqrt{.\overline{4}}}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
382 (3.4)
$4 \times 4! \times 4 - \sqrt{4}$
Steve Wilson, 6/08
Raytown, MO
383 (4.2)
$\dfrac{4^4 - \sqrt{.\overline{4}}}{\sqrt{.\overline{4}}}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
384 (2.2)
$4 \times \left( \dfrac{4}{4\%} - 4 \right)$
Dave Jones, 12/06
Coventry, England
385 (4.2)
$\dfrac{4^4 + \sqrt{.\overline{4}}}{\sqrt{.\overline{4}}}$
Paolo Pellegrini, 8/08
Martina Franca, Italy
386 (3.4)
$4 \times 4! \times 4 + \sqrt{4}$
Steve Wilson, 6/08
Raytown, MO
387 (3.8)
$\dfrac{4^4 + \sqrt{4}}{\sqrt{.\overline{4}}}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
388 (3.2)
$4 \times 4! \times 4 + 4$
Joseph Mavungu, 4/03
Olathe, KS
389 (4.8)
$4 \times (4! \times 4 + \cosh\ln\sqrt{4})$
Steve Wilson, 9/23
Lawrence, KS
390 (2.4)
$\dfrac{4 \times 4 - .4}{4\%}$
Dave Jones, 9/07
Coventry, England
  391 (3.2)
$\dfrac{4 \times .\overline{4} - 4\%}{.\overline{4}\%}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
392 (3.4)
$4 \times \left( \dfrac{4}{4\%} - \sqrt{4} \right)$
Steve Wilson, 6/08
Raytown, MO
393 (5.2)
$\left( \dfrac{\sqrt{4}}{4 \pmf} + 4! \right) \times \sinh \ln \sqrt{4}$
Steve Wilson, 9/08
Raytown, MO
394 (3.6)
$\dfrac{4 \times 4 - 4!\%}{4\%}$
Steve Wilson, 6/08
Raytown, MO
395 (3.6)
$\dfrac{4 \times 4 - \sqrt{4\%}}{4\%}$
Paolo Pellegrini, 6/08
Martina Franca, Italy
396 (2.2)
$\dfrac{4}{4\%} \times 4 - 4$
David Caton, 10/04
Shawnee, KS
397 (4.6)
$\dfrac{\sqrt{4} - (4! - .\overline{4})\%}{.\overline{4}\%}$
Steve Wilson, 10/08
Raytown, MO
398 (3.4)
$\dfrac{4}{4\%} \times 4 - \sqrt{4}$
Steve Wilson, 2/08
Raytown, MO
399 (2.4)
$\dfrac{4 \times 4 - 4\%}{4\%}$
Dave Jones, 9/07
Coventry, England
400 (3.0)
$(4 - .4) \times \dfrac{.\overline{4}}{.4\%}$
Paolo Pellegrini, 6/08
Martina Franca, Italy

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