Which is the only complex number only represented by its magnitude ?

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The answer is 0.

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Shouldn't it be all positive real numbers? Or did I make a mistake or misread the question?

$| z | = z$ Let $z = x+iy$ $\sqrt{x^2 + y^2} = x+iy$ $2y^2=0$ $y=0$ x can take any value.

e.g. $5+0i = 5 = |5+0i| = 5.$