# How do you plot -5i and find its absolute value?

Jun 22, 2017

The point $\left(0 , - 5\right)$ on the complex plane.
Absolute value $= 5$

#### Explanation:

Let the complex number $z = - 5 i$

Hence, the real part of $z = 0$ and the imaginary part of $z = - 5 i$

$\therefore z = 0 - 5 i$

Hence, $z$ is the point $\left(0 , - 5\right)$ on the complex plane.

By definition the absolute value of $z$ is $\sqrt{{0}^{2} + {\left(- 5\right)}^{2}}$

$= \sqrt{25} = 5$