Plotting complex numbers on the complex plane

Move the orange dot to -2 + 2i.

So we have a complex number here.

It has a real part: -2.

It has an imaginary part of 2 times i.

And what you will see here is we're going to plot it

on this kind of two-dimensional grid.

But these are not our traditional coordinate axes.

In our traditional coordinate axes,

you're plotting a real x value versus a real y coordinate.

Here, on the horizontal axis –

that's going to be the real part of our complex number.

And our vertical axis is going to be the imaginary part.

So in in this example, this complex number, our real part is -2.

And then our imaginary part is a positive 2.

And so that right over there

in the complex plane is the point -2 + 2i.

Let's do a few more of these.

So 5 + 2i.

Once again, the real part is 5.

Imaginary part is 2

And we're done.

Let's do two more of these.

1 + 5i.

1 – that's the real part – plus 5i right over that 'Im'.

Alright. Let's do one more of these

4 - 4i.

The real part is 4.

Imaginary part is -4.

And we're done.