Four Nines

[cheesehead]

Originally Posted by petrw1

Yes % as a sneaky way to divide by 100 is no more or less sneaky than allowing a decimal point as a sneaky way to divide by 10;

... and I don't recall having objected to use of the decimal point in the four 4s problem ... because I didn't think of it then as a divide-by-10!

But now that I see % also proposed, I realize that they're related.

Introducing (REVERSED) is very inventive but I suggest a big stretch

I don't think Zeta-Flux meant that "reversed" was to be an operator. He just meant that his concat ( (√9! * √9!) / 9, 9 ) solution for 49 was to have the opposite order of concatenation (= concat ( 9, (√9! * √9!) / 9) ) to produce 94.

- - -

And now I see that concatenation is just a sneaky multiply-by-10(or -100 or -1000)-and-add.

To me, that's okay only when used to concatenate bare "4"s, as in 44, 444, or 4444 (so that its "invisibility" is restored :-)).

[cheesehead]

One pointed solution:

22 = 9/.9 + 9 + √9

and some pointless ones:

43 = (((√9)!)! / (√9)! + 9) / √9

49 = ((((√9)!)! / (√9)!) / √9) + 9

52 = 9 * (√9)! - ((√9)! / √9)

Originally Posted by grandpascorpion

132 =

((√9)!)! / (√9)! + 9 + √9


134 = (((√9)!)! / 9) + 9 * (√9)!

138 = ((√9)!)! / (√9)! + 9 + 9

147 = ((√9)!)! / (√9)! + (9 * √9)

160 = ((√9)!)! * (√9)! / (9 * √9)

174 = ((√9)!)! / (√9)! + 9 * (√9)!

200 = ((√9)!)! / (√9)! + ((√9)!)! / 9
201 = ((√9)!)! / (√9)! + 9 * 9

[grandpascorpion]

94= ?
103 = ?
106 = ?
131 = ?
133 = ?
137 = ?
139-146 = ?
148 -150 = ?
151 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 -9
152 = ?
154 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 - sqrt(9)!
155 = ?
157 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 - sqrt(9)
158 = ?
163 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 + sqrt(9)
164 = ?
166 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 + sqrt(9)!
167 = ?
169 = ?
170 = ?
171 = 9*sqrt(9)! * sqrt(9) + 9
172 =
173 =
175-178 = ?

179 = ((sqrt(9))!)!/9 + 99
180 = 99 + 9*9

181 - 185 = ?
186 = (sqrt(9)!)!/(sqrt(9) - 9*(sqrt(9)!
187 = ?
188 = ?
189 = (sqrt(9)!)^sqrt(9) - 9*sqrt(9)
190-197 =
198 = (sqrt(9)!)^sqrt(9) - sqrt(9)!*sqrt(9)
199= ?
=============================
202-205 = ?
207 = (sqrt(9)!)^sqrt(9) - sqrt(9)*sqrt(9)
208 = ?
209 = ?
210 = (sqrt(9)!)^sqrt(9) - sqrt(9) - sqrt(9)
211 = ?
212 = ?
213 = (sqrt(9)!)^sqrt(9) - 9/sqrt(9)
214 = (sqrt(9)!)^sqrt(9) - sqrt(9)!/sqrt(9)
215 = (sqrt(9)!)^sqrt(9) - 9/9
216 = (sqrt(9)!)^sqrt(9) + 9 - 9
217 = (sqrt(9)!)^sqrt(9) + 9/9
218 = (sqrt(9)!)^sqrt(9) + sqrt(9)!/sqrt(9)
219 = (sqrt(9)!)^sqrt(9) + 9/sqrt(9)
220= ?
221 = ?
222 = (sqrt(9)!)^sqrt(9) + sqrt(9) + sqrt(9)
223 = ?
224 = ?
225 = (sqrt(9)!)^sqrt(9) + sqrt(9) * sqrt(9)

[alpertron]

141 = ((sqrt(9)!)!/sqrt(9) - 99
144 = ((9 + sqrt(9))*(9 + sqrt(9))
204 = ((sqrt(9)!)!/sqrt(9) - sqrt(9)! * sqrt(9)!
228 = ((sqrt(9)!)!/sqrt(9) - 9 - sqrt(9)
231 = ((sqrt(9)!)!/sqrt(9) - sqrt(9) - sqrt(9)!
234 = ((sqrt(9)!)!/sqrt(9) - 9 + sqrt(9)
235 = (((sqrt(9)!)! - 9 - sqrt(9)!) / sqrt(9)
236 = (((sqrt(9)!)! - 9 - sqrt(9)) / sqrt(9)
237 = ((sqrt(9)!)!/sqrt(9) - 9 / sqrt(9)
238 = (((sqrt(9)!)! - 9 + sqrt(9)) / sqrt(9)
239 = ((sqrt(9)!)!/sqrt(9) - 9 / 9
240 = ((sqrt(9)!)!/sqrt(9) - 9 + 9
etc.

I also prefer: 198 = 99 + 99

[Mini-Geek]

You're going to wear out your 9 keys.

[Wacky]

Originally Posted by Mini-Geek

You're going to wear out your 9 keys.

Nein

[Andi47]

It's a pity that .9~ = 9/9 is not allowed, otherwise we could do this:

94=99-(√9)!+.9~

a 94 without using .9~ anyone?

[petrw1]

Give up?? on 94 that is?? should I give the answer or do you want to try a little longer first?? I will confess I could not get it myself...my son had to find it via a computer progran...

[alpertron]

226 = (sqrt(9)!)^sqrt(9) + 9/.9
230 = ((sqrt(9)!)!/sqrt(9) - 9/.9

Originally Posted by petrw1

Other versions allow the percent operator (i.e. √9% = .3). Again it is not necessary for this puzzle but if you have to use it.....

94 = 9/9% - sqrt(9) - sqrt(9)
103 = 9/9% + 9/sqrt(9)
106 = 9/9% + sqrt(9) + sqrt(9)
150 = ((9*9)/9%)/sqrt(9)!
181 = 9*9 + 9/9%
191 = (9+9)/9%-9
194 = (9+9)/9%-sqrt(9)!
197 = (9+9)/9%-sqrt(9)
199 = 99 + 9/9%
203 = (9+9)/9%+sqrt(9)
206 = (9+9)/9%+sqrt(9)!
209 = (9+9)/9%+9
220 = ((sqrt(9)!)!/sqrt(9)! + 9/9%

[alpertron]

140 = 9/((sqrt(9)!)%) - 9/.9
141 = 9/((sqrt(9)!)%) - sqrt(9)! - sqrt(9)
146 = (sqrt(9)!)/((sqrt(9))%) - 9 * sqrt(9)!
148 = 9/((sqrt(9)!)%) - sqrt(9)!/sqrt(9)
149 = 9/((sqrt(9)!)%) - 9/9
152 = 9/((sqrt(9)!)%) + sqrt(9)!/sqrt(9)
170 = (sqrt(9)!)/((sqrt(9))%) - 9/(sqrt(9%))
173 = (sqrt(9)!)/((sqrt(9))%) - sqrt(9)^sqrt(9)
177 = 9/((sqrt(9)!)%) + sqrt(9)^sqrt(9)
188 = (sqrt(9)!)/((sqrt(9))%) - 9 - sqrt(9)
190 = (sqrt(9)!)/((sqrt(9))%) - 9/.9
212 = (sqrt(9)!)/((sqrt(9))%) + 9 + sqrt(9)
227 = (sqrt(9)!)/((sqrt(9))%) + sqrt(9)^sqrt(9)

[alpertron]

182 = (sqrt(9)!)/((sqrt(9))%) - 9 - 9
185 = (sqrt(9)!)/((sqrt(9))%) - 9 - sqrt(9)!