Four Fours/0/General Solutions/1

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Puzzle

Using exactly $4$ instances of the number $4$, the task is to write an expression for $0$, using whatever arithmetical operations you consider necessary.


Solution

Let $\map {e_n} m$ be an expression which uses $n$ instances of $4$ to make $m$.

Then we have:

$0 = \map {e_2} m - \map {e_2} m$

where $m \in \N$ is arbitrary.