In 3-5 sentences. describe why real numbers and purely imaginary numbers are also complex numbers composed of real and imaginary parts. Also, describe how to identify the real part versus the imaginary part of a complex number.

Real numbers are considered complex numbers because they can be written in the form a + 0i, where a represents the real part and 0i represents the imaginary part. Purely imaginary numbers, on the other hand, are complex numbers in the form 0 + bi, where b is the imaginary part. The real part of a complex number is the coefficient of the real component (a), while the imaginary part is the coefficient of the imaginary component (b).