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

Integermania!

First Four Composites

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.

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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+).

  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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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