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With the following trick you can turn 1€ into 100€: $$ \begin{align} 1 \, € &= 2 \, € \cdot 0.5 \, € \\ &= 200 \, \text{ct} \cdot 50 \, \text{ct} \\ &= 10 \, 000 \, \text{ct} = 100 \, € \end{align} $$

Where did I cheat in this calculation?

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  • $\begingroup$ you can use the same trick to turn 100E into 1E $\endgroup$ – JMP Nov 4 '17 at 16:54
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    $\begingroup$ @JonMarkPerry Oh, now I know why my money always vanishes so quickly :-S $\endgroup$ – A. P. Nov 4 '17 at 16:55
  • $\begingroup$ That’s a nice trick which I’ve never encountered before. I wonder if there are any economic formulae in which the square of money unit is a thing. $\endgroup$ – Laska Nov 4 '17 at 22:15
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you cannot multiply,

two same units to find the very same unit.

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