Video: Identifying the Imaginary Part of a Complex Number

What is the imaginary part of the complex number 2 βˆ’ 2𝑖?

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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 π‘Ž plus 𝑏𝑖, where π‘Ž and 𝑏 are real numbers. We say that the real part of this general complex number is π‘Ž. 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 π‘Ž 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.

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