100 and Nines
Express 100 using six 9s.
posted by Zaux at
10:17 PM
Friday, January 15, 2010
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21 Comments:
(9 * 9) + 9 + 9 + (9/9)
Didn't anticipate that one .... nice solution Yayson. There is also another one.
sorry (typo) ... meant Jayson
(9 + 9/9)(9 + 9/9)
9*99/9 + 9/9
9(99 + 9/9)/9
99 + 9 - 9 +9/9
99 + 99/99
(99 + 9/9)/(9/9)
(999 - 99)/9
99 + (9^9)/(9^9)
I'll stop there.
changed my mind
99 + (9*9)/(9*9)
99 + (9/9)/(9/9)
99 + (9+9)/(9+9)
99 + log99(99) (log base 99)
99 + 99^(9-9)
I'm definitely stopping there, although I'm sure I could think of more.
LOL. I've just re-read that lot. I never would have guessed there were so many ways to do it.
Sorry. I couldn't resist :)
99 + (9+9-9)/9
99 + 9.9/9.9 (and prolly more like that).
That is absolutely and definitely my last post (maybe).
9*9+9+((9/9)+9) = 100!
That's the same as the first post, except you've changed the order of two terms and added a redundant ().
I had posted e.g. 99 + 99/99. That could be rewritten as 99/99 +99 or (99/99) + 99 or ((99)+(99)/99) and so forth.
I bet the problem source didn't anticipate that many solutions
Oyeah, I forgot factorials.
99 + 99!/99!
and the trig functions
99 + sin(99)/sin(99)
and the +1 function
99 + (99+1)/(99+1)
LOL - definitely last...
Did I get it right? You didn't say. LOL
yes ...multiple correct solutions
Thanks Zaux. I thought I might have missed it and would have to post some more ;)
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