Is it correct to define x as the distance from zero to x?

Is it correct to define x as the distance from zero to x?
It's also the distance from zero to minus x.
If that is true, can I say ?
I take it x is just an ordinary, real number? That isn't really the definition, which is this (for real x):
However, more often than not you would define the "distance" between the real numbers x and y as x  y, so in essence you are right.
Edited to add: Ah, I just saw your second post. If x can be complex, the notation x is use for the modulus of x, which in terms of the real and imaginary parts of x is
By Pythagoras' theorem, x is the length of the arrow representing x in the Argand plane. For values of x which happen to lie on the real axis, this definition coincides with the first definition I gave above.
What about complex numbers? Would give me the "size" of the number or what?
P.S. Look at that! I learned how to use the tex tags xD
Just to wrap it up:
Complex number > , being a the real part and b the imaginary part.
Ex:
That's 'bout it right?
P.S. I've edited this 100 times but I can't get my square root to go over all the stuff in parenthesis like you did. What's the secret?
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