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Q: Math Problem ( No Answer,   9 Comments )
Question  
Subject: Math Problem
Category: Miscellaneous
Asked by: cathrene-ga
List Price: $2.00
Posted: 20 Sep 2004 20:34 PDT
Expires: 20 Oct 2004 20:34 PDT
Question ID: 404057
How do you get "1" by using three "9"s and only one mathematical sign?  (9 9 9 = 1)?
Answer  
There is no answer at this time.

Comments  
Subject: Re: Math Problem
From: pinkfreud-ga on 20 Sep 2004 21:15 PDT
 
My best guess: 9^(9-9) = 1

I don't know exactly what you would count as a "mathematical sign," so
I can't be sure whether or not this is acceptable, but 9^(9-9) is the
same thing as 9^(0), and any number raised to the 0th power is 1.
Subject: Re: Math Problem
From: frde-ga on 21 Sep 2004 02:20 PDT
 
Probably not the answer, but under some Boolean logic True = 1

So :  (99 > 9) = True = 1
Subject: Re: Math Problem
From: pinkfreud-ga on 21 Sep 2004 09:45 PDT
 
Note that 9^(9-9) = 1 can be written with superscripts so that the
only "mathmatical signs" are the minus sign and the equals sign. If
you are counting the equals sign as a mathematical sign, I don't think
this puzzle has an answer.
Subject: Re: Math Problem
From: kerplode-ga on 21 Sep 2004 10:17 PDT
 
.999 is approximately 1
or 
you could put a slash through the equal sign to say 999 (doesn't equal) 1
Subject: Re: Math Problem
From: stolis-ga on 22 Sep 2004 15:22 PDT
 
One interpretation of a mathematical sign would be the signum function.

According to this website, signum can be represented by one symbol.
http://members.aol.com/jeff570/functions.html

Therefore:
sgn 999 = 1
is a possible solution.
Subject: Re: Math Problem
From: nandoc-ga on 22 Sep 2004 16:08 PDT
 
hi....   9+9+9 = 27     2+7 = 9 ???
Subject: Re: Math Problem
From: livioflores-ga on 01 Oct 2004 22:03 PDT
 
I think that pinkfreud can claim the prize:

 (9-9)
9     = 1
Subject: Re: Math Problem
From: pinkfreud-ga on 25 Oct 2004 21:16 PDT
 
Cathrene,

If you ever learned the definitive answer to this puzzle, I'd like to know.

~Pink
Subject: Re: Math Problem
From: fractl-ga on 11 Nov 2004 11:39 PST
 
a few other possibilities:

    9
9/9  = 1
[this operates on the same premise as pinkfreud's response (that a
raised number is not counted as a mathematical sign)]

-----------------------

|999|=1
[The cerdinal number (number of elements) in a set that contains only
the number 999]

-----------------------

ceiling(.999) 
[A sligt modification of kerplode's first guess]

-----------------------
     9
log 9   =1 
   9

[Log (base 9) of 9 to the 9th power.  this is without a doubt not the
right answer...but it may still technically qualify]

-----------------------

All said there are two (three if i can include log) 'correct' answers
under the assumption that a superscript is allowed (as opposed to ^). 
That leads me to believe that they may be looking for a different,
unique solution.  Of the solutions I can see here I think sign(999)=1
is the only answer that uses only one operation.

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