Absolute Value of a Complex Number

Algebra Level 1

The complex number z z is defined as z = 7 − 24 i z=7-24i . Evaluate ∣ z ∣ . \left| z \right|.


The answer is 25.

Dominick Hing by Dominick Hing , 23, USA

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1 solution

Dominick Hing
Oct 3, 2014

The absolute value of any number, whether real or imaginary, is the distance from zero.

∣ z ∣ \left| z \right| equals 7 2 + ( − 24 ) 2 = 25 \sqrt { { 7 }^{ 2 }+{ (-24) }^{ 2 } } =25 because the real number line is perpendicular to the imaginary number line on the Argand Plane

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