December 02, 2012

THE GAME OF FOUR FOURS

12:11 Posted by Durga swaroop Perla 1 comment

           GAME OF FOUR FOURS 


RULES:
The rules of the game are very simple.You just have to use '4' four times and have to construct the integers 0,1,2,3..... , etc

The valid Operations one can use are
  • You can surely use the four fundamental operations of mathematics (+,-,X,/)
  • Concatenation is valid (44,444 are perfectly fine)
  • Powers can be used (4^4 is perfectly sound)
  • You can use square roots  ( √ )
  • You can use the factorial operation  (4! = 4 X 3 X 2 X 1 = 24)
  • You can use the decimal form also ( .4 is valid)
  • Recurring decimals are also permitted 
          4/.4' = 4/[.44444...] = 4/(4/9) = 9
  • You may not even use any of these :-)
Note:
  • You must not use any other number except 4. Every number must be got from only '4' four times
  • Not all integers can be expressed by this method. In fact numbers less than 113 can surely be constructed using four 4's.
  • 113 can't be constructed
  • You must not use any other operation other than those mentioned above
Examples:
   
   0 = 4+4-4-4 = 44 -44
   1 = 44/44 = (4+4-4)/4
   2 = (4x4)/(4+4) = (4/4) + (4/4)
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   72 = 44 + 4! + 4! =[ (4!)x(4!)] / [4 x √4 ]
   73 = [4! * √4 + √(.4')] / √(.4')   | .4' = 0.4444... = 4/9
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  100 = (4/.4)X(4/.4)
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   112 = (44/.4) + √4
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As you have already noticed by now, there isn't a fixed combination of 4's for a number.You can get the same number in different ways, using different operators and methods.I recently got to know that even some software's are made available for this method.But i surely won't recommend that. Of course there will come a stage when you can no longer go forward. The larger this number is the better you score
       So, How many did you complete ??
Post your answers in the comment section below and the first person's name to get it correct will be displayed on my blog.If there is a tie creative answer will be given priority.(CREATIVITY MATTERS)
So, hurry up and work'em out.
                                      BY     **  DURGA SWAROOP(DSP)
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