Complex Modulus/Examples/-5

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Example of Complex Modulus

$\left\vert{-5}\right\vert = 5$


Proof

\(\displaystyle \left\vert{-5}\right\vert\) \(=\) \(\displaystyle \left\vert{-5 + 0 i}\right\vert\)
\(\displaystyle \) \(=\) \(\displaystyle \sqrt {\left({-5}\right)^2 + 0^2}\) Definition of Complex Modulus
\(\displaystyle \) \(=\) \(\displaystyle \sqrt {25}\)
\(\displaystyle \) \(=\) \(\displaystyle 5\)

$\blacksquare$


Sources