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Absolute value

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The absolute value of a real number is defined as:

|x|=x when x0

|x|=x when x<0

The absolute value of a complex number z = x + iy is defined as:

|z|=x2+y2

where we take the positive value of the square root. Note that when y = 0, both definitions are equivalent.

Geometrically, the absolute value of a number represents its distance from the origin.

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