Question

Graph the complex number and find its modulus.

-2

Short answer

The modulus of the complex number $-2is\left|z\right|=2$.

Step-by-step solution

Step 1. Given Information.

The given complex number is -2.

The modulus of the number is found using the formula $\left|z\right|=\sqrt{a^2+b^2}$

Step 2. Applying the operations.

The given complex number is -2. Comparing with standard form of complex number $z=a+ib$.

Here a=-2 and b=0

Using the formula $\left|z\right|=\sqrt{a^2+b^2}$

$\Rightarrow \left|z\right|=\sqrt{{(-2)}^2+0^2}$

$\Rightarrow \left|z\right|=2$