Video Transcript
What is the imaginary part of the
complex number two minus two 𝑖?
A complex number is the result of
adding a real and an imaginary number. And a complex number 𝑧 is in the
form 𝑎 plus 𝑏𝑖, where 𝑎 and 𝑏 are real numbers. We say that the real part of this
general complex number is 𝑎. And the imaginary part is
essentially the coefficient of 𝑖. It’s 𝑏. Remember, it’s not 𝑏𝑖, just 𝑏
itself.
Let’s compare this general form to
our complex number two minus two 𝑖. We can see that 𝑎 is equal to two
and 𝑏 is equal to negative two. And this means that the real part
of this complex number is two and the imaginary part is negative two.
