"That's it, Betty. So if that is the case Betty, why don't we make up a new way of identifying complex numbers. Why don't we call a complex number by the angle it forms (with the positive direction of the x-axis) and the length of the line drawn from the origin?" "OK then John. Let's use radians because they are a more natural measure of angles. And let's use the notation "cis" so that 2cis means the complex number on the plane that is 2 units from the origin at an angle of ." "I see," said John, "so that 2cis 3cis = 6cis ." "You've got it!", said Betty.