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The absolute value of a complex number z=a+bi, also called the modulus, is the distance from the origin to the point (a,b) in the complex plane.
The number z can be interpreted as a vector and therefore, its length can be calculated using the Distance Formula.
|z| = sqrt(a^2+b^2)
For example, the absolute value of 3-4i is |3-4i| = sqrt(3^2 + (-4)^2) = 5.