The real part is the number that is not multiplied by i, which in this case is equal to 2. The imaginary part is the number that is multiplied by i. For this complex number, the imaginary part is 3.Re(z)=2 and Im(z)=3.
This number has a negative imaginary part, which must not be overlooked. This means that Re(z)=4 and Im(z)=-2.
This number has a negative real part, and the number that is multiplied by i is, in this case, 1. Therefore, Re(z)=-2 and Im(z)=1.
This number has no real part, which means Re(z)=0 and Im(z)=4.
This number has no imaginary part. Therefore, Re(z)=7 and Im(z)=0.
We determine the real part by identifying the term that does not contain an i. In this case, that term is 2a. The imaginary part is determined by identifying the coefficient in front of i in the term that does contain an i, which is -7b. As a result, Re(z)=2a and Im(z)=-7b.