Friday, October 28, 2016

smallest number obtainable from 2020


If only the four basic operations, concatenation and parenthesis are allowed, the largest number which can be obtained from 2 0 2 0 is... 2020 :-) (If exponentials were allowed, 2020 would be much higher, of course). But what is the smallest number which can be obtained?


Clarifications (note that many answers were written before these were added):



  • The numbers 2, 0, 2, 0 must be used in that order.


  • None may be omitted.

  • The "four basic operations" do not include unary + (which would be a no-op in any case) or unary - (which would e.g. allow -2020 as an answer).

  • "Smallest" means "most negative", not "closest to zero".

  • Concatenation may only be applied to literal digits.

  • Exponentiation is not allowed, even though it is written without any explicit operators.

  • Inserting decimal points is not allowed.



Answer



If only addition (+), subtraction (), multiplication (×) and division (/), without unary minus, then




2×(020)=40



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