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.
1 answer
Real numbers are considered complex numbers because they can be expressed as a sum of the real part and the imaginary part, where the imaginary part is zero. Purely imaginary numbers, on the other hand, have a real part of zero and a non-zero imaginary part. The real part of a complex number is identified as the coefficient of the term without the imaginary unit 'i', while the imaginary part is identified as the coefficient of the term with 'i'.