Wednesday, 2 March 2016

mathematics - 1 2 3 4 5 6 7 8 9 = 1


This question inspired me to write the same puzzle but instead replace the "= 100" with "= 1" with similar requirements and restrictions.



What is the expression with the fewest number of operators inserted that evaluates to 1?


Restrictions:



  1. The numbers need to be in the order that's shown in the question.

  2. Only use the operators +,−,×,÷ and √ and ! (Implies that modulus "%", exponent "^", binomial coefficients, and other operators are not allowed).

  3. Parentheses will not be counted, so they can be used to change the order of operations.

  4. Rounding is not allowed, so it have to equal to 1.


Verify your calculations in that calculator application that comes with your PC, if it ever did came with your PC.


This is my first time writing a puzzle here so obviously I should have thought this out a lot more instead of adding rules when situation comes.




Answer



If √ can mean nth root:


$$\sqrt[1234567]{-8+9}$$


3 operators. Obviously...


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