Absolute Value of a Complex
Number
Modulus of a Complex Number
The distance between a complex
number and the origin on
the complex plane.
The absolute value of a + bi is written |a +
bi|,
and the formula for |a
+ bi| is \(\sqrt {{a^2} + {b^2}}\). For a complex
number in polar form r(cos θ + isin θ)
the modulus is r.

See
also
Real
number, imaginary
number,
argument of a complex number
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