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Make one hundred (Posted on 2014-05-17) Difficulty: 3 of 5
Create 10 mathematical expressions equal to 100. Each should use as few instances as possible of a single digit (0 through 9.)

You may use any common operation (+, -, *, /, ^, √, !, [], parentheses, concatenation.)

No Solution Yet Submitted by Jer    
Rating: 5.0000 (1 votes)

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Solution beginning- the rest later | Comment 1 of 7

 

First  let me write down two generic solutions, applicable to any digit in the range 2 to 9:

    a.   100=(kkk-kk)/k       (kkk means concatenation of 3 k's)  - so we can express 100 by 6 identical digits (5 digits in the case of k=1, since the division by 1 is unneeded.

Only operations listed in the puzzle are used.

Later I will publish specific solutions for each digit, onlyfor cases where 100 is achieved in less than 6 uses of said digit.

b.  If the word base were allowed to appear in the solution then  in the range 2 to 9:

  k*k=100(base k);  using 3 k's only.

Just now I do not remember alI my expressions, so I will mention only:   111-11;-       33*3+3/3;-    4!*4+4;-    (5+5)*(5+5);  99+9/9…and  promise to return later with the missing solutions ....

(out of time now!).

 

 

   


Edited on May 17, 2014, 1:28 pm
  Posted by Ady TZIDON on 2014-05-17 13:24:47

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