Question

Graph the complex number and find its modulus.

$4i$

Short answer

The modulus of the complex number4i is$\left|z\right|=4$ .

Step-by-step solution

Step 1. Given Information.

The given complex number is 4i.

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 is4i . Comparing with standard form of complex number$z=a+ib$ .

Here a=4 and b =0

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

$\Rightarrow \left|z\right|=\sqrt{{\left(4\right)}^2+0^2}$

$\Rightarrow \left|z\right|=4$