\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \)
The first four composite numbers are 4, 6, 8, and 9. Create each of the positive integers using one copy of each number, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.
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+).
1 (1.0) $6 - 4 + 8 - 9$ Carolyn Neptune, 1/03 Prairie Village, KS |
2 (1.0) $(4 - 6) \times (8 - 9)$ Sydney Barker, 2/03 Stilwell, KS |
3 (1.0) $9 - 8 + 6 - 4$ Nancy Vaughn, 3/03 Shawnee, KS |
4 (1.0) $4 \times (9 - 6) - 8$ Steve Wilson, 2/03 Raytown, MO |
5 (1.0) $\dfrac84 + 9 - 6$ Chris Imm, 1/03 Prairie Village, KS |
6 (1.0) $\dfrac84 \times (9 - 6)$ Ron Palcic, 1/03 Olathe, KS |
7 (1.0) $4 \times 6 - 8 - 9$ John Kite, 2/03 Lenexa, KS |
8 (1.0) $9 \times \dfrac86 - 4$ Pete Hardie, 2/03 Saskatoon, SK |
9 (1.0) $4 + 6 + 8 - 9$ Jared Northrup, 4/03 Lawrence, KS |
10 (1.0) $(8 - 6) \times (9 - 4)$ Darren Boss, 2/03 Shawnee, KS |
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11 (1.0) $9 - 8 + 4 + 6$ Cassie Weatherwax, 2/03 Lawrence, KS |
12 (1.0) $4 \times \dfrac68 + 9$ Darren Boss, 3/03 Shawnee, KS |
13 (1.0) $9 + 6 - \dfrac84$ Chris Imm, 2/03 Prairie Village, KS |
14 (1.0) $\dfrac96 \times 4 + 8$ Steve Wilson, 3/03 Raytown, MO |
15 (1.0) $4 - 6 + 8 + 9$ Steve Wilson, 4/03 Raytown, MO |
16 (1.0) $\dfrac96 \times 8 + 4$ Joseph Mavungu, 3/03 Olathe, KS |
17 (1.0) $6 + 9 + \dfrac84$ Carolyn Neptune, 3/03 Prairie Village, KS |
18 (1.0) $9 \times (4 + 6 - 8)$ Carolyn Neptune, 2/03 Prairie Village, KS |
19 (1.0) $6 + 8 + 9 - 4$ Carolyn Neptune, 4/03 Prairie Village, KS |
20 (1.0) $4 \times (6 + 8 - 9)$ Carolyn Neptune, 3/03 Prairie Village, KS |
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21 (1.0) $6 \times \dfrac84 + 9$ Anders Skjäl, 12/03 Turku, Finland |
22 (1.0) $4 \times 9 - 8 - 6$ Chris Imm, 4/03 Prairie Village, KS |
23 (1.0) $4 \times 6 - 9 + 8$ Ron Palcic, 4/03 Olathe, KS |
24 (1.0) $4 \times 6 \times (9 - 8)$ Carolyn Neptune, 5/03 Prairie Village, KS |
25 (1.0) $9 - 8 + 6 \times 4$ John Kite, 5/03 Lenexa, KS |
26 (1.0) $(9 + 4) \times (8 - 6)$ Carolyn Neptune, 7/03 Prairie Village, KS |
27 (1.0) $4 + 6 + 8 + 9$ John Kite, 4/03 Lenexa, KS |
28 (1.0) $8 \times (9 - 6) + 4$ Steve Wilson, 5/03 Raytown, MO |
29 (1.0) $4 \times 8 + 6 - 9$ Carolyn Neptune, 5/03 Prairie Village, KS |
30 (1.0) $6 \times (4 + 9 - 8)$ Steve Wilson, 6/03 Raytown, MO |
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31 (2.2) $\dfrac{9-8}{4\%} + 6$ Dave Jones, 6/06 Coventry, England |
32 (2.0) $\dfrac{96}{4} + 8$ Dave Jones, 2/06 Coventry, England |
33 (1.0) $6 \times (8 - 4) + 9$ Chris Imm, 7/03 Prairie Village, KS |
34 (1.0) $(8 + 9) \times (6 - 4)$ Carolyn Neptune, 7/03 Prairie Village, KS |
35 (1.0) $8 \times 4 - 6 + 9$ Carolyn Neptune, 6/03 Prairie Village, KS |
36 (1.0) $9 \times \left(6 - \dfrac84 \right)$ Steve Wilson, 8/03 Raytown, MO |
37 (2.0) $69 - 8 \times 4$ Dave Jones, 2/06 Coventry, England |
38 (1.0) $9 \times 4 + 8 - 6$ Carolyn Neptune, 8/03 Prairie Village, KS |
39 (1.0) $4 \times \left(9 + \dfrac68 \right)$ Steve Wilson, 10/03 Raytown, MO |
40 (2.2) $(6 \times 9 - 4) \times .8$ Dave Jones, 6/06 Coventry, England |
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41 (1.0) $4 \times 6 + 8 + 9$ Chris Imm, 11/03 Prairie Village, KS |
42 (1.0) $6 \times \left(9 - \dfrac84 \right)$ Carolyn Neptune, 9/03 Prairie Village, KS |
43 (1.0) $6 \times 8 - 9 + 4$ Carolyn Neptune, 11/03 Prairie Village, KS |
44 (1.0) $4 \times (8 + 9 - 6)$ Carolyn Neptune, 12/03 Prairie Village, KS |
45 (2.0) $46 - 9 + 8$ Dave Jones, 2/06 Coventry, England |
46 (1.0) $8 \times (9 - 4) + 6$ Anders Skjäl, 1/04 Turku, Finland |
47 (1.0) $4 \times 8 + 6 + 9$ Anders Skjäl, 12/03 Turku, Finland |
48 (1.0) $9 \times 8 - 4 \times 6$ Ron Palcic, 9/03 Olathe, KS |
49 (2.0) $\dfrac{98}{6-4}$ Dave Jones, 2/06 Coventry, England |
50 (1.0) $6 \times 9 + 4 - 8$ Fredrik Jansson, 12/03 Turku, Finland |
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51 (1.0) $6 \times \left(9 - \dfrac48 \right)$ Steve Wilson, 1/04 Raytown, MO |
52 (1.0) $6 \times 9 - \dfrac84$ Celeste Williams, 1/04 Bonner Springs, KS |
53 (1.0) $6 \times 8 + 9 - 4$ Anders Skjäl, 2/04 Turku, Finland |
54 (1.0) $9 \times (8 + 4 - 6)$ Anders Skjäl, 2/04 Turku, Finland |
55 (2.0) $68 - 9 - 4$ Dave Jones, 2/06 Coventry, England |
56 (1.0) $8 \times (9 + 4 - 6)$ Carolyn Neptune, 2/04 Prairie Village, KS |
57 (1.0) $6 \times \left(9 + \dfrac48 \right)$ Steve Wilson, 3/04 Raytown, MO |
58 (1.0) $9 \times 6 + 8 - 4$ Carolyn Neptune, 3/04 Prairie Village, KS |
59 (2.2) $9 \times 6 + \dfrac{4}{.8}$ Steve Wilson, 3/06 Raytown, MO |
60 (1.0) $(8 - 4) \times (6 + 9)$ Steve Wilson, 4/04 Raytown, MO |
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61 (1.0) $6 \times 8 + 9 + 4$ Anders Skjäl, 4/04 Turku, Finland |
62 (1.0) $8 \times 9 - 4 - 6$ Anders Skjäl, 5/04 Turku, Finland |
63 (1.0) $6 \times (4 + 8) - 9$ Steve Wilson, 5/04 Raytown, MO |
64 (2.0) $64 \times (9 - 8)$ Carolyn Neptune, 2/06 Prairie Village, KS |
65 (1.0) $4 \times (6 + 8) + 9$ Carolyn Neptune, 5/04 Prairie Village, KS |
66 (1.0) $9 \times 6 + 8 + 4$ Ron Palcic, 3/04 Olathe, KS |
67 (2.0) $69 - \dfrac84$ Carolyn Neptune, 2/06 Prairie Village, KS |
68 (1.0) $(6 + 9) \times 4 + 8$ Steve Wilson, 7/04 Raytown, MO |
69 (2.0) $84 - 9 - 6$ Dave Jones, 3/06 Coventry, England |
70 (1.0) $8 \times 9 + 4 - 6$ Joseph Mavungu, 5/03 Olathe, KS |
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71 (1.0) $(6 + 4) \times 8 - 9$ Fredrik Jansson, 12/03 Turku, Finland |
72 (1.0) $(8 - 6) \times 4 \times 9$ John Kite, 4/03 Lenexa, KS |
73 (2.0) $68 + 9 - 4$ Dave Jones, 3/06 Coventry, England |
74 (1.0) $8 \times 9 + 6 - 4$ Carolyn Neptune, 8/04 Prairie Village, KS |
75 (2.2) $(9 + 6) \times \dfrac{4}{.8}$ Steve Wilson, 3/06 Raytown, MO |
76 (2.0) $\dfrac{684}{9}$ Dave Jones, 3/06 Coventry, England |
77 (2.2) $84 - 6.\overline{9}$ Steve Wilson, 3/06 Raytown, MO |
78 (1.0) $9 \times \left(8 + \dfrac46 \right)$ Robert Reid, 8/04 London, England |
79 (2.0) $89 - 6 - 4$ Dave Jones, 3/06 Coventry, England |
80 (2.0) $94 - 8 - 6$ Dave Jones, 3/06 Coventry, England |
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81 (1.0) $6 \times (4 + 8) + 9$ Carolyn Neptune, 5/04 Prairie Village, KS |
82 (1.0) $9 \times (6 + 4) - 8$ Carolyn Neptune, 9/04 Prairie Village, KS |
83 (2.0) $\dfrac{498}{6}$ Dave Jones, 4/06 Coventry, England |
84 (1.0) $6 \times 8 + 4 \times 9$ Brooke Jones, 3/04 Olathe, KS |
85 (2.4) $\dfrac{9+8}{.6-.4}$ Dave Jones, 1/07 Coventry, England |
86 (1.0) $9 \times 6 + 8 \times 4$ Josh Brown, 6/04 Lawrence, KS |
87 (2.0) $89 - 6 + 4$ Carolyn Neptune, 2/06 Prairie Village, KS |
88 (1.0) $(6 + 9 - 4) \times 8$ Steve Wilson, 12/04 Raytown, MO |
89 (1.0) $8 \times (4 + 6) + 9$ Carolyn Neptune, 1/05 Prairie Village, KS |
90 (1.0) $9 \times (8 + 6 - 4)$ Carolyn Neptune, 12/04 Prairie Village, KS |
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91 (2.0) $89 + 6 - 4$ Carolyn Neptune, 2/06 Prairie Village, KS |
92 (1.0) $4 \times (6 + 8 + 9)$ Carolyn Neptune, 7/04 Prairie Village, KS |
93 (2.6) $68 + \dfrac{.\overline{9}}{4\%}$ Paolo Pellegrini, 7/09 Martina Franca, Italy |
94 (2.0) $96 - \dfrac84$ Carolyn Neptune, 2/06 Prairie Village, KS |
95 (2.2) $\dfrac{49+8}{.6}$ Dave Jones, 5/06 Coventry, England |
96 (1.0) $9 \times 8 + 4 \times 6$ Arsalan Nazir, 10/04 Overland Park, KS |
97 (2.0) $49 + 6 \times 8$ Dave Jones, 4/06 Coventry, England |
98 (1.0) $9 \times (6 + 4) + 8$ Carolyn Neptune, 11/04 Prairie Village, KS |
99 (2.0) $84 + 6 + 9$ Carolyn Neptune, 3/06 Prairie Village, KS |
100 (2.0) $96 + 8 - 4$ Dave Jones, 4/06 Coventry, England |
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101 (2.0) $69 + 4 \times 8$ Dave Jones, 4/06 Coventry, England |
102 (1.0) $9 \times (8 + 4) - 6$ Carolyn Neptune, 2/05 Prairie Village, KS |
103 (2.8) $\dfrac{.9}{.\overline{6}\%} - 4 \times 8$ Dave Jones, 6/07 Coventry, England |
104 (2.0) $68 + 4 \times 9$ Carolyn Neptune, 4/06 Prairie Village, KS |
105 (2.4) $\dfrac{9 - 6 \times .8}{4\%}$ Dave Jones, 1/07 Coventry, England |
106 (1.0) $(9 + 8) \times 6 + 4$ Levi Self, 1/06 San Antonio, TX |
107 (2.4) $\dfrac{9 + 4\%}{8\%} - 6$ Dave Jones, 1/07 Coventry, England |
108 (1.0) $6 \times 9 \times \dfrac84$ Darren Boss, 5/03 Shawnee, KS |
109 (2.4) $\dfrac{9 - .6}{8\%} + 4$ Dave Jones, 1/07 Coventry, England |
110 (1.0) $8 \times (9 + 4) + 6$ Carolyn Neptune, 6/05 Prairie Village, KS |
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111 (2.2) $\dfrac{6}{.4} \times 8 - 9$ Dave Jones, 5/06 Coventry, England |
112 (2.4) $\dfrac{9}{.\overline{6}} \times 8 + 4$ Dave Jones, 5/06 Coventry, England |
113 (2.0) $89 + 4 \times 6$ Carolyn Neptune, 4/06 Prairie Village, KS |
114 (1.0) $9 \times (4 + 8) + 6$ Carolyn Neptune, 8/05 Prairie Village, KS |
115 (2.2) $\dfrac{6 \times 9 - 8}{.4}$ Dave Jones, 5/06 Coventry, England |
116 (1.0) $8 \times (9 + 6) - 4$ Carolyn Neptune, 6/05 Prairie Village, KS |
117 (2.0) $68 + 49$ Ron Palcic, 8/04 Olathe, KS |
118 (2.0) $8 \times 9 + 46$ Michael Chen, 6/05 Overland Park, KS |
119 (2.2) $\dfrac{4}{8\%} + 69$ Dave Jones, 6/06 Coventry, England |
120 (1.0) $(4 \times 6 - 9) \times 8$ Levi Self, 1/06 San Antonio, TX |
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121 (2.4) $\dfrac{6-.8}{4\%} - 9$ Dave Jones, 1/07 Coventry, England |
122 (1.0) $9 \times (8 + 6) - 4$ Brian Posey, 5/05 Ottawa, KS |
123 (2.4) $(9 - .8) \times \dfrac{6}{.4}$ Dave Jones, 6/07 Coventry, England |
124 (1.0) $8 \times (9 + 6) + 4$ Steve Wilson, 8/05 Raytown, MO |
125 (2.2) $\dfrac{96 + 4}{.8}$ Dave Jones, 6/06 Coventry, England |
126 (1.0) $6 \times (4 + 8 + 9)$ Carolyn Neptune, 11/05 Prairie Village, KS |
127 (2.2) $9 \times \dfrac{6}{.4} - 8$ Dave Jones, 6/06 Coventry, England |
128 (2.0) $96 + 8 \times 4$ Dave Jones, 7/06 Coventry, England |
129 (2.2) $8 \times \dfrac{6}{.4} + 9$ Dave Jones, 7/06 Coventry, England |
130 (1.0) $(6 + 8) \times 9 + 4$ Levi Self, 1/06 San Antonio, TX |
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131 (2.2) $\dfrac{84}{.6} - 9$ Dave Jones, 7/06 Coventry, England |
132 (2.2) $9 \times \left( \dfrac{4}{.6} + 8 \right)$ Dave Jones, 7/06 Coventry, England |
133 (2.2) $\dfrac{6}{4\%} - 8 - 9$ Dave Jones, 7/06 Coventry, England |
134 (2.2) $\dfrac{6}{4.8\%} + 9$ Dave Jones, 10/06 Coventry, England |
135 (2.0) $46 + 89$ Wendy Patrick, 3/05 Overland Park, KS |
136 (2.0) $64 + 8 \times 9$ Dave Jones, 9/06 Coventry, England |
137 (2.4) $\dfrac{6 \times 9 + .8}{.4}$ Dave Jones, 6/07 Coventry, England |
138 (1.0) $(4 \times 8 - 9) \times 6$ Levi Self, 1/06 San Antonio, TX |
139 (2.2) $\dfrac{9}{4\%} - 86$ Dave Jones, 10/06 Coventry, England |
140 (2.2) $\dfrac{8 + 4.6}{9\%}$ Dave Jones, 11/06 Coventry, England |
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141 (2.2) $\dfrac{6}{(8-4)\%} - 9$ Steve Wilson, 1/07 Raytown, MO |
142 (2.0) $94 + 8 \times 6$ Dave Jones, 9/06 Coventry, England |
143 (2.2) $9 \times \dfrac{6}{.4} + 8$ Dave Jones, 10/06 Coventry, England |
144 (1.0) $9 \times (4 \times 6 - 8)$ Steve Wilson, 8/05 Raytown, MO |
145 (2.4) $\dfrac{9}{6\%} - \dfrac{4}{.8}$ Steve Wilson, 1/07 Raytown, MO |
146 (2.2) $\dfrac{8}{4\%} - 6 \times 9$ Carolyn Neptune, 6/06 Prairie Village, KS |
147 (2.0) $98 \times \dfrac64$ Michael Chen, 6/05 Overland Park, KS |
148 (2.2) $\dfrac{9}{6\%} - \dfrac84$ Steve Wilson, 6/06 Raytown, MO |
149 (2.0) $\dfrac{894}{6}$ Dave Jones, 9/06 Coventry, England |
150 (2.2) $\dfrac{6}{4\%} \times (9 - 8)$ Steve Wilson, 6/06 Raytown, MO |
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151 (2.2) $\dfrac{6}{4\%} + 9 - 8$ Steve Wilson, 6/06 Raytown, MO |
152 (1.0) $(6 + 9 + 4) \times 8$ Bridget Osei-Bonsu, 10/04 Lenexa, KS |
153 (2.0) $84 + 69$ Jared Northrup, 5/03 Lawrence, KS |
154 (2.2) $\dfrac{9}{6\%} + 8 - 4$ Steve Wilson, 6/06 Raytown, MO |
155 (2.2) $\dfrac{89+4}{.6}$ Dave Jones, 11/06 Coventry, England |
156 (1.0) $4 \times (6 \times 8 - 9)$ Anders Skjäl, 1/04 Turku, Finland |
157 (2.2) $\dfrac{9}{4\%} - 68$ Dave Jones, 10/06 Coventry, England |
158 (2.0) $\dfrac{948}{6}$ Dave Jones, 9/06 Coventry, England |
159 (2.4) $\dfrac{6}{4\%} + 8.\overline{9}$ Steve Wilson, 9/06 Raytown, MO |
160 (2.2) $\dfrac{8+6.4}{9\%}$ Dave Jones, 11/06 Coventry, England |
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161 (2.2) $\dfrac{68}{.4} - 9$ Dave Jones, 10/06 Coventry, England |
162 (1.0) $(4 + 6 + 8) \times 9$ Levi Self, 1/06 San Antonio, TX |
163 (3.2) $\dfrac{6!}{4} - 8 - 9$ Steve Wilson, 10/06 Raytown, MO |
164 (2.0) $\dfrac{984}{6}$ Dave Jones, 9/06 Coventry, England |
165 (2.2) $\dfrac{8 \times 9 - 6}{.4}$ Dave Jones, 11/06 Coventry, England |
166 (2.2) $\dfrac{8}{(9-4)\%} + 6$ Steve Wilson, 1/07 Raytown, MO |
167 (2.2) $\dfrac{6}{4\%} + 9 + 8$ Steve Wilson, 7/06 Raytown, MO |
168 (1.0) $(9 \times 4 - 8) \times 6$ Katie Cummins, 3/06 Leawood, KS |
169 (2.2) $94 + \dfrac{6}{8\%}$ Dave Jones, 12/06 Coventry, England |
170 (1.0) $(4 + 6) \times (8 + 9)$ Sydney Barker, 1/03 Stilwell, KS |
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171 (2.6) $\dfrac{68}{.4} + .\overline{9}$ Steve Wilson, 1/07 Raytown, MO |
172 (2.2) $\dfrac{8.6}{(9-4)\%}$ Steve Wilson, 1/07 Raytown, MO |
173 (3.6) $86 \times \sqrt{4} + .\overline{9}$ Steve Wilson, 11/05 Raytown, MO |
174 (2.2) $8 \times \dfrac{9}{.4} - 6$ Dave Jones, 12/06 Coventry, England |
175 (2.2) $\dfrac{6 + 9 - 8}{4\%}$ Dave Jones, 12/06 Coventry, England |
176 (2.4) $\dfrac{8 - .96}{4\%}$ Dave Jones, 6/07 Coventry, England |
177 (2.2) $\dfrac{9}{4\%} - 6 \times 8$ Dave Jones, 8/06 Coventry, England |
178 (2.0) $89 \times (6 - 4)$ Carolyn Neptune, 10/06 Prairie Village, KS |
179 (2.2) $\dfrac{68}{.4} + 9$ Steve Wilson, 2/07 Raytown, MO |
180 (1.0) $(4 + 8) \times (6 + 9)$ Sydney Barker, 3/03 Stilwell, KS |
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181 (2.6) $\dfrac{8 - .\overline{9}}{4\%} + 6$ Paolo Pellegrini, 5/09 Martina Franca, Italy |
182 (1.0) $(4 + 9) \times (6 + 8)$ Steve Wilson, 2/07 Raytown, MO |
183 (1.0) $4 \times 6 \times 8 - 9$ Steve Wilson, 10/05 Raytown, MO |
184 (1.0) $4 \times (6 \times 9 - 8)$ Steve Wilson, 10/05 Raytown, MO |
185 (2.2) $\dfrac{8}{4\%} - 6 - 9$ Carolyn Neptune, 6/06 Prairie Village, KS |
186 (2.2) $\dfrac{9}{.4} \times 8 + 6$ Carolyn Neptune, 3/07 Prairie Village, KS |
187 (2.4) $\dfrac{9 + 6 - 4\%}{8\%}$ Dave Jones, 6/07 Coventry, England |
188 (2.0) $94 \times (8 - 6)$ Carolyn Neptune, 11/06 Prairie Village, KS |
189 (2.6) $\dfrac{ \dfrac{6}{8\%} + 9}{.\overline{4}}$ Dave Jones, 11/07 Coventry, England |
190 (3.2) $98 \times \sqrt{4} - 6$ Katie Cummins, 3/06 Leawood, KS |
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191 (2.2) $\dfrac{4}{(8-6)\%} - 9$ Ralph Jeffords, 12/06 Centreville, VA |
192 (2.0) $96 \times \dfrac84$ Carolyn Neptune, 3/06 Prairie Village, KS |
193 (2.4) $4 \times 6 \times 8 + .\overline{9}$ Steve Wilson, 2/07 Raytown, MO |
194 (2.4) $\dfrac{8 - .6}{4\%} + 9$ Dave Jones, 11/07 Coventry, England |
195 (2.2) $\dfrac{8 \times 9 + 6}{.4}$ Dave Jones, 11/07 Coventry, England |
196 (2.0) $98 \times (6 - 4)$ Matt McGrail, 11/04 Olathe, KS |
197 (2.2) $\dfrac{8}{4\%} + 6 - 9$ Carolyn Neptune, 6/06 Prairie Village, KS |
198 (2.2) $\dfrac{9}{6\%} + 48$ Steve Wilson, 7/06 Raytown, MO |
199 (2.4) $\dfrac{9 - .8}{4\%} - 6$ Dave Jones, 11/07 Coventry, England |
200 (2.2) $\dfrac{96}{.48}$ Dave Jones, 11/07 Coventry, England |
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201 (1.0) $4 \times 8 \times 6 + 9$ Lisa Pettit, 6/05 Shawnee, KS |
202 (2.4) $\dfrac{9 - .6}{4\%} - 8$ Dave Jones, 12/07 Coventry, England |
203 (2.2) $\dfrac{8}{4\%} - 6 + 9$ Carolyn Neptune, 6/06 Prairie Village, KS |
204 (2.4) $(4 - .\overline{9}) \times 68$ Steve Wilson, 5/09 Raytown, MO |
205 (2.6) $\dfrac{8}{4\%} + 6 - .\overline{9}$ Steve Wilson, 12/06 Raytown, MO |
206 (2.2) $\dfrac{8.6}{4\%} - 9$ Ralph Jeffords, 2/07 Centreville, VA |
207 (2.2) $9 \times \left(8 + \dfrac{6}{.4} \right)$ Dave Jones, 12/07 Coventry, England |
208 (1.0) $6 \times 9 \times 4 - 8$ Bridget Osei-Bonsu, 9/04 Lenexa, KS |
209 (2.2) $\dfrac{4}{(8-6)\%} + 9$ Dave Jones, 12/07 Coventry, England |
210 (2.4) $\dfrac{98}{.4\overline{6}}$ Dave Jones, 12/07 Coventry, England |
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211 (2.2) $\dfrac{9}{4\%} - 6 - 8$ Dave Jones, 8/06 Coventry, England |
212 (2.6) $\dfrac{9 - .6 + 8\%}{4\%}$ Dave Jones, 12/07 Coventry, England |
213 (2.4) $\dfrac{9 - 6 \times 8\%}{4\%}$ Dave Jones, 3/08 Coventry, England |
214 (2.6) $\dfrac{8.6}{4\%} - .\overline{9}$ Ralph Jeffords, 3/07 Centreville, VA |
215 (2.2) $\dfrac{8}{4\%} + 6 + 9$ Carolyn Neptune, 6/06 Prairie Village, KS |
216 (1.0) $(8 - 4) \times 6 \times 9$ Levi Self, 6/06 San Antonio, TX |
217 (2.4) $\dfrac{9 - 8\%}{4\%} - 6$ Dave Jones, 3/08 Coventry, England |
218 (2.4) $\dfrac{9 + 4 + 8\%}{6\%}$ Dave Jones, 3/08 Coventry, England |
219 (2.2) $\dfrac{9}{(8-4)\%} - 6$ Dave Jones, 3/08 Coventry, England |
220 (2.2) $\dfrac{96-8}{.4}$ Dave Jones, 3/08 Coventry, England |
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221 (2.4) $\dfrac{89-.6}{.4}$ Dave Jones, 4/08 Coventry, England |
222 (2.2) $\dfrac{6}{4\%} + 8 \times 9$ Steve Wilson, 7/06 Raytown, MO |
223 (2.2) $\dfrac{9}{4\%} + 6 - 8$ Dave Jones, 8/06 Coventry, England |
224 (1.0) $6 \times 4 \times 9 + 8$ Dave Jones, 1/06 Coventry, England |
225 (2.2) $\dfrac{9}{\left(6 - \dfrac84 \right)\%}$ Ralph Jeffords, 2/07 Centreville, VA |
226 (3.0) $\dfrac{6-4}{.\overline{8}\%} + .\overline{9}$ Ralph Jeffords, 4/07 Centreville, VA |
227 (2.2) $\dfrac{9}{4\%} - 6 + 8$ Dave Jones, 8/06 Coventry, England |
228 (1.0) $(6 \times 8 + 9) \times 4$ Levi Self, 6/06 San Antonio, TX |
229 (2.4) $\dfrac{9 - 8\%}{4\%} + 6$ Dave Jones, 4/08 Coventry, England |
230 (2.2) $\dfrac{98 - 6}{.4}$ Carolyn Neptune, 2/07 Prairie Village, KS |
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231 (2.2) $\dfrac{9}{(8-4)\%} + 6$ Dave Jones, 4/08 Coventry, England |
232 (2.2) $\dfrac{96}{.4} - 8$ Steve Wilson, 3/07 Raytown, MO |
233 (2.4) $\dfrac{9 + 8\%}{4\%} + 6$ Dave Jones, 4/08 Coventry, England |
234 (1.0) $9 \times (4 \times 8 - 6)$ Steve Wilson, 11/05 Raytown, MO |
235 (2.6) $\dfrac{9 - 8 - 6\%}{.4\%}$ Dave Jones, 4/08 Coventry, England |
236 (2.0) $(68 - 9) \times 4$ Shawn Graf, 10/06 Overland Park, KS |
237 (2.4) $\dfrac{9 + 6 \times 8\%}{4\%}$ Dave Jones, 5/08 Coventry, England |
238 (2.4) $\dfrac{96-.8}{.4}$ Steve Wilson, 3/07 Raytown, MO |
239 (2.2) $\dfrac{6}{4\%} + 89$ Steve Wilson, 7/06 Raytown, MO |
240 (1.0) $(4 \times 9 - 6) \times 8$ Levi Self, 6/06 San Antonio, TX |
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241 (2.4) $\dfrac{6-4}{.8\%} - 9$ Steve Wilson, 4/08 Raytown, MO |
242 (2.0) $\dfrac{968}{4}$ Carolyn Neptune, 10/06 Prairie Village, KS |
243 (2.4) $\dfrac{4}{.\overline{8}} \times 6 \times 9$ Dave Jones, 5/08 Coventry, England |
244 (2.0) $4 \times (69 - 8)$ Carolyn Neptune, 1/07 Prairie Village, KS |
245 (2.4) $\dfrac{4.9}{(8 - 6)\%}$ Steve Wilson, 8/23 Lawrence, KS |
246 (1.0) $(4 \times 8 + 9) \times 6$ Levi Self, 6/06 San Antonio, TX |
247 (3.4) $\sqrt{4^8} - 6 - \sqrt{9}$ Steve Wilson, 4/07 Raytown, MO |
248 (1.0) $(6 \times 9 + 8) \times 4$ Levi Self, 6/06 San Antonio, TX |
249 (2.6) $\dfrac{8}{(4 - .\overline{6})\%} + 9$ Ralph Jeffords, 1/09 Centreville, VA |
250 (2.2) $\dfrac{4}{(9.6 - 8)\%}$ Dave Jones, 5/08 Coventry, England |
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251 (2.2) $\dfrac{98}{.4} + 6$ Ralph Jeffords, 2/07 Centreville, VA |
252 (2.0) $84 \times (9 - 6)$ Carolyn Neptune, 11/06 Prairie Village, KS |
253 (3.2) $\sqrt{4^8} + 6 - 9$ Steve Wilson, 5/07 Raytown, MO |
254 (2.2) $\dfrac{8}{4\%} + 6 \times 9$ Steve Wilson, 4/07 Raytown, MO |
255 (2.2) $\dfrac{6}{.4} \times (9 + 8)$ Dave Jones, 5/08 Coventry, England |
256 (2.4) $\dfrac{9-8}{.4\%} + 6$ Dave Jones, 6/08 Coventry, England |
257 (3.0) $\dfrac{.\overline{9} + 6\%}{.4\%} - 8$ Paolo Pellegrini, 5/09 Martina Franca, Italy |
258 (2.4) $(4 - .\overline{9}) \times 86$ Steve Wilson, 5/09 Raytown, MO |
259 (2.4) $\dfrac{6-4}{.8\%} + 9$ Steve Wilson, 4/08 Raytown, MO |
260 (2.2) $\dfrac{98+6}{.4}$ Carolyn Neptune, 2/07 Prairie Village, KS |
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261 (2.8) $\dfrac{4}{.\overline{8}\%} \times .6 - 9$ Dave Jones, 6/08 Coventry, England |
262 (2.6) $\dfrac{9}{(4 - .\overline{6})\%} - 8$ Dave Jones, 6/08 Coventry, England |
263 (2.0) $68 \times 4 - 9$ Matt McGrail, 12/04 Olathe, KS |
264 (1.0) $(9 \times 8 - 6) \times 4$ Katie Cummins, 3/06 Leawood, KS |
265 (2.6) $\dfrac{9 - 8 + 6\%}{.4\%}$ Dave Jones, 6/08 Coventry, England |
266 (3.4) $6^{\sqrt{9}} + \dfrac{4}{8\%}$ Steve Wilson, 7/07 Raytown, MO |
267 (2.6) $\dfrac{8.9}{(4 - .\overline{6})\%}$ Dave Jones, 7/08 Coventry, England |
268 (2.0) $69 \times 4 - 8$ Cameron Haines, 3/06 Olathe, KS |
269 (2.2) $\dfrac{8}{4\%} + 69$ Carolyn Neptune, 4/07 Prairie Village, KS |
270 (2.2) $9 \times 6 \times \dfrac{4}{.8}$ Steve Wilson, 8/07 Raytown, MO |
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271 (2.4) $4 \times 68 - .\overline{9}$ Carolyn Neptune, 5/07 Prairie Village, KS |
272 (2.4) $4 \times 68 \times .\overline{9}$ Carolyn Neptune, 5/07 Prairie Village, KS |
273 (2.2) $\dfrac{9}{4\%} + 6 \times 8$ Dave Jones, 8/06 Coventry, England |
274 (3.4) $\sqrt{4^8} + 6 \times \sqrt{9}$ Steve Wilson, 7/07 Raytown, MO |
275 (2.2) $\dfrac{9 + 8 - 6}{4\%}$ Carolyn Neptune, 4/07 Prairie Village, KS |
276 (2.0) $69 \times (8 - 4)$ Dave Jones, 2/07 Coventry, England |
277 (3.6) $6! \times .4 - 8 - \sqrt{9}$ Steve Wilson, 7/07 Raytown, MO |
278 (2.6) $\dfrac{9}{(4 - .\overline{6})\%} + 8$ Dave Jones, 7/08 Coventry, England |
279 (2.0) $48 \times 6 - 9$ Katie Cummins, 3/06 Leawood, KS |
280 (2.2) $\dfrac{8 + 6}{(9 - 4)\%}$ Steve Wilson, 5/09 Raytown, MO |
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281 (2.0) $68 \times 4 + 9$ Carolyn Neptune, 8/06 Prairie Village, KS |
282 (1.0) $4 \times 8 \times 9 - 6$ Steve Wilson, 10/06 Raytown, MO |
283 (3.2) $\sqrt{(9 + 8)^4} - 6$ Steve Wilson, 8/07 Raytown, MO |
284 (2.0) $69 \times 4 + 8$ Carolyn Neptune, 8/06 Prairie Village, KS |
285 (2.8) $\dfrac{ \dfrac{8}{.\overline{4}} - .9}{6\%}$ Dave Jones, 7/08 Coventry, England |
286 (2.0) $49 \times 6 - 8$ Katie Cummins, 3/06 Leawood, KS |
287 (2.4) $48 \times 6 - .\overline{9}$ Ralph Jeffords, 4/07 Centreville, VA |
288 (1.0) $9 \times (4 \times 6 + 8)$ Steve Wilson, 8/06 Raytown, MO |
289 (2.4) $48 \times 6 + .\overline{9}$ Ralph Jeffords, 4/07 Centreville, VA |
290 (2.2) $\dfrac{9 + 8.4}{6\%}$ Dave Jones, 8/08 Coventry, England |
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291 (2.2) $6 \times \dfrac{4}{8\%} - 9$ Dave Jones, 8/08 Coventry, England |
292 (3.8) $\dfrac{6}{(\sqrt{4})\%} - 8 \times .\overline{9}$ Steve Wilson, 8/07 Raytown, MO |
293 (2.2) $\dfrac{9}{4\%} + 68$ Carolyn Neptune, 3/07 Prairie Village, KS |
294 (1.0) $8 \times 9 \times 4 + 6$ Tricia Mahaney, 5/06 Shawnee, KS |
295 (3.2) $\sqrt{(9 + 8)^4} + 6$ Steve Wilson, 8/07 Raytown, MO |
296 (2.0) $(46 - 9) \times 8$ Dave Jones, 3/07 Coventry, England |
297 (2.0) $48 \times 6 + 9$ Carolyn Neptune, 8/06 Prairie Village, KS |
298 (2.8) $\dfrac{.\overline{9}}{.4\%} + 6 \times 8$ Ralph Jeffords, 3/07 Centreville, VA |
299 (2.6) $\dfrac{4}{8\%} \times 6 - .\overline{9}$ Steve Wilson, 5/09 Raytown, MO |
300 (2.2) $\dfrac{8}{4\%} \times \dfrac96$ Brad Anderson, 9/06 Overland Park, KS |
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301 (2.6) $\dfrac{4}{8\%} \times 6 + .\overline{9}$ Steve Wilson, 5/09 Raytown, MO |
302 (2.0) $49 \times 6 + 8$ David Mullins, 11/06 Overland Park, KS |
303 (3.4) $6 \times \dfrac{4}{8\%} + \sqrt{9}$ Carolyn Neptune, 9/07 Prairie Village, KS |
304 (2.6) $4 \times \left( \dfrac{6}{8\%} + .\overline{9} \right)$ Ralph Jeffords, 9/07 Centreville, VA |
305 (3.6) $\dfrac{6}{(\sqrt{4})\%} + 8 - \sqrt{9}$ Ralph Jeffords, 9/07 Centreville, VA |
306 (2.6) $6 \times \left( \dfrac{4}{8\%} + .\overline{9} \right)$ Paolo Pellegrini, 5/09 Martina Franca, Italy |
307 (3.4) $\dfrac{9}{4! \pmf} - 68$ Steve Wilson, 7/08 Raytown, MO |
308 (2.0) $(68 + 9) \times 4$ Dave Jones, 3/07 Coventry, England |
309 (2.2) $6 \times \dfrac{4}{8\%} + 9$ Carolyn Neptune, 9/07 Prairie Village, KS |
310 (3.2) $\sqrt{4^8} + 6 \times 9$ Steve Wilson, 9/07 Raytown, MO |
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311 (2.2) $\dfrac{9}{4\%} + 86$ Carolyn Neptune, 3/07 Prairie Village, KS |
312 (1.0) $4 \times (8 \times 9 + 6)$ Steve Wilson, 10/06 Raytown, MO |
313 (3.6) $\dfrac{6 + 8\%}{(\sqrt{4})\%} + 9$ Steve Wilson, 9/07 Raytown, MO |
314 (2.8) $\dfrac{8}{.\overline{9}\%} \times .4 - 6$ Steve Wilson, 6/09 Raytown, MO |
315 (2.2) $(6 + 8) \times \dfrac{9}{.4}$ Dave Jones, 8/08 Coventry, England |
316 (3.2) $\sqrt{6^4} \times 9 - 8$ David Mullins, 11/06 Overland Park, KS |
317 (3.4) $\dfrac{6}{(\sqrt{4})\%} + 8 + 9$ Carolyn Neptune, 9/07 Prairie Village, KS |
318 (2.8) $\dfrac{.\overline{9}}{.4\%} + 68$ Steve Wilson, 5/07 Raytown, MO |
319 (3.6) $6! \times .\overline{4} + 8 - 9$ Steve Wilson, 10/07 Raytown, MO |
320 (2.2) $48 \times \dfrac{6}{.9}$ Dave Jones, 8/08 Coventry, England |
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321 (3.6) $6! \times .\overline{4} + 9 - 8$ Steve Wilson, 11/07 Raytown, MO |
322 (2.4) $46 \times (8 - .\overline{9})$ Steve Wilson, 6/09 Raytown, MO |
323 (3.6) $4! \times \dfrac{8}{.6} + \sqrt{9}$ Steve Wilson, 11/07 Raytown, MO |
324 (2.8) $6 \times \left( \dfrac{.4}{.\overline{8}\%} + 9 \right)$ Dave Jones, 10/08 Coventry, England |
325 (2.4) $\dfrac{9 - 6.4}{.8\%}$ Steve Wilson, 6/08 Raytown, MO |
326 (2.4) $489 \times .\overline{6}$ Steve Wilson, 9/07 Raytown, MO |
327 (3.2) $4! \times (6 + 8) - 9$ Steve Wilson, 9/06 Raytown, MO |
328 (3.4) $9 \times \sqrt{ \sqrt{6^8}} + 4$ Steve Wilson, 11/07 Raytown, MO |
329 (3.2) $\sqrt[.4]{9} + 86$ Ralph Jeffords, 7/07 Centreville, VA |
330 (2.4) $\dfrac{8 \times .9 + 6}{4\%}$ Dave Jones, 9/08 Coventry, England |
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331 (3.8) $6! \times .\overline{4} + 8 + \sqrt{9}$ Steve Wilson, 11/07 Raytown, MO |
332 (2.0) $(89 - 6) \times 4$ David Mullins, 10/06 Overland Park, KS |
333 (2.8) $\dfrac{9 - 6 - 4\%}{.\overline{8}\%}$ Dave Jones, 10/08 Coventry, England |
334 (3.2) $\left( \dfrac{4}{.8\%} + .\overline{9} \right) \times .\overline{6}$ Steve Wilson, 1/08 Raytown, MO |
335 (2.0) $4 \times 86 - 9$ Dave Jones, 3/07 Coventry, England |
336 (1.0) $8 \times (4 \times 9 + 6)$ Steve Wilson, 9/06 Raytown, MO |
337 (3.6) $4! \times (6 + 8) + .\overline{9}$ Carolyn Neptune, 12/07 Prairie Village, KS |
338 (3.4) $86 \times 4 - (\sqrt{9})!$ Steve Wilson, 1/08 Raytown, MO |
339 (3.4) $4! \times (6 + 8) + \sqrt{9}$ Carolyn Neptune, 10/07 Prairie Village, KS |
340 (2.0) $68 \times (9 - 4)$ Carolyn Neptune, 11/06 Prairie Village, KS |
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341 (2.2) $\dfrac{8+6}{4\%} - 9$ Dave Jones, 9/08 Coventry, England |
342 (1.0) $(4 \times 8 + 6) \times 9$ Dave Jones, 1/06 Coventry, England |
343 (2.4) $4 \times 86 - .\overline{9}$ Steve Wilson, 6/09 Raytown, MO |
344 (2.0) $(49 - 6) \times 8$ Dave Jones, 3/07 Coventry, England |
345 (2.2) $69 \times \dfrac{4}{.8}$ Dave Jones, 9/08 Coventry, England |
346 (3.4) $\dfrac{8}{(\sqrt{4})\%} - 6 \times 9$ Carolyn Neptune, 1/08 Prairie Village, KS |
347 (3.4) $\dfrac{6! - 8}{\sqrt{4}} - 9$ Steve Wilson, 1/08 Raytown, MO |
348 (2.2) $86.\overline{9} \times 4$ Steve Wilson, 10/07 Raytown, MO |
349 (3.2) $\dfrac{698}{\sqrt{4}}$ Carolyn Neptune, 8/08 Prairie Village, KS |
350 (2.0) $4 \times 89 - 6$ Dave Jones, 3/07 Coventry, England |
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351 (3.2) $6! \times \dfrac48 - 9$ Steve Wilson, 2/08 Raytown, MO |
352 (2.0) $4 \times (96 - 8)$ Dave Jones, 4/07 Coventry, England |
353 (2.0) $4 \times 86 + 9$ Dave Jones, 4/07 Coventry, England |
354 (2.2) $6 \times \left( \dfrac{4}{8\%} + 9 \right)$ Dave Jones, 9/08 Coventry, England |
355 (2.4) $\dfrac{9 + 6 - .8}{4\%}$ Dave Jones, 10/08 Coventry, England |
356 (3.8) $(6! - 8) \times \dfrac{.\overline{9}}{\sqrt{4}}$ Steve Wilson, 5/08 Raytown, MO |
357 (3.4) $6! \times \dfrac48 - \sqrt{9}$ Steve Wilson, 2/08 Raytown, MO |
358 (3.6) $\dfrac{6!}{\sqrt{4}} - \sqrt[\sqrt{9}]{8}$ Steve Wilson, 5/08 Raytown, MO |
359 (2.0) $46 \times 8 - 9$ Jennifer Nagel, 9/05 Overland Park, KS |
360 (2.4) $8 \times (46 - .\overline{9})$ Steve Wilson, 4/08 Raytown, MO |
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361 (3.4) $\dfrac{6!}{\sqrt{4}} + 9 - 8$ Carolyn Neptune, 12/07 Prairie Village, KS |
362 (2.0) $4 \times 89 + 6$ Dave Jones, 4/07 Coventry, England |
363 (3.4) $6! \times \dfrac48 + \sqrt{9}$ Steve Wilson, 2/08 Raytown, MO |
364 (3.4) $\dfrac{9}{(\sqrt{4})\%} - 86$ Steve Wilson, 5/08 Raytown, MO |
365 (3.2) $8 \times 46 - \sqrt{9}$ Carolyn Neptune, 10/07 Prairie Village, KS |
366 (2.6) $\dfrac{4}{.9 - .\overline{8}} + 6$ Dave Jones, 12/08 Coventry, England |
367 (2.2) $\dfrac{9 + 6}{4\%} - 8$ Dave Jones, 10/08 Coventry, England |
368 (2.0) $(98 - 6) \times 4$ Jennifer Nagel, 9/05 Overland Park, KS |
369 (2.4) $8 \times 46 + .\overline{9}$ Steve Wilson, 4/08 Raytown, MO |
370 (2.6) $\dfrac{9 - 6 - 4\%}{.8\%}$ Steve Wilson, 6/08 Raytown, MO |
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371 (2.4) $\dfrac{9 - 6}{.8\%} - 4$ Steve Wilson, 6/08 Raytown, MO |
372 (3.4) $\dfrac{6}{(\sqrt{4})\%} + 9 \times 8$ Carolyn Neptune, 6/08 Prairie Village, KS |
373 (2.4) $\dfrac{9 + 6 - 8\%}{4\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
374 (3.8) $\dfrac{6!}{\sqrt{4}} + 8 + (\sqrt{9})!$ Steve Wilson, 7/08 Raytown, MO |
375 (2.2) $\dfrac{9 \times 4 - 6}{8\%}$ Dave Jones, 10/08 Coventry, England |
376 (2.0) $4 \times 96 - 8$ Kimberly Grosdidier, 11/05 Eudora, KS |
377 (2.0) $46 \times 8 + 9$ Dave Jones, 4/07 Coventry, England |
378 (2.0) $(48 - 6) \times 9$ Carolyn Neptune, 3/07 Prairie Village, KS |
379 (2.4) $\dfrac{9 - 6}{.8\%} + 4$ Steve Wilson, 6/08 Raytown, MO |
380 (2.0) $4 \times (89 + 6)$ Dave Jones, 4/07 Coventry, England |
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381 (2.6) $\dfrac{4}{.\overline{8}\%} - 69$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
382 (3.4) $\dfrac{9}{(\sqrt{4})\%} - 68$ Steve Wilson, 5/08 Raytown, MO |
383 (2.2) $\dfrac{9 + 6}{4\%} + 8$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
384 (2.0) $96 \times (8 - 4)$ Carolyn Neptune, 11/06 Prairie Village, KS |
385 (3.4) $\dfrac{8}{(\sqrt{4})\%} - 6 - 9$ Carolyn Neptune, 1/08 Prairie Village, KS |
386 (2.0) $4 \times 98 - 6$ Dave Jones, 5/07 Coventry, England |
387 (3.2) $\dfrac{9}{\sqrt{4}} \times 86$ Carolyn Neptune, 6/08 Prairie Village, KS |
388 (3.0) $\dfrac{4}{.\overline{9}\%} - \dfrac{8}{.\overline{6}}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
389 (3.4) $\dfrac{9}{4! \pmf} + 6 + 8$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
390 (3.6) $6 \times \left( \sqrt{8^4} + .\overline{9} \right)$ Carolyn Neptune, 6/08 Prairie Village, KS |
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391 (2.2) $\dfrac{8}{(6-4)\%} - 9$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
392 (2.0) $4 \times 96 + 8$ Dave Jones, 5/07 Coventry, England |
393 (3.2) $6 \times \sqrt{8^4} + 9$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
394 (2.2) $\dfrac{4}{(9-8)\%} - 6$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
395 (2.2) $\dfrac{6.8 + 9}{4\%}$ Paolo Pellegrini, 7/08 Martina Franca, Italy |
396 (1.0) $9 \times (6 \times 8 - 4)$ Steve Wilson, 10/06 Raytown, MO |
397 (3.4) $\dfrac{8}{(\sqrt{4})\%} + 6 - 9$ Carolyn Neptune, 1/08 Prairie Village, KS |
398 (2.0) $98 \times 4 + 6$ Tricia Mahaney, 5/06 Shawnee, KS |
399 (2.6) $\dfrac{8}{(6-4)\%} - .\overline{9}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
400 (1.0) $(6 \times 9 - 4) \times 8$ Katie Cummins, 1/06 Leawood, KS |
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