Ok, we know they are great, but can we add and subtract them? Complex numbers… Ok, we know they are great, but can we add and subtract them?

Reminders about complex numbers… a+bi Real part and Imaginary part Can be plotted on a graph Can be represented as a vector

So how to add… We can only combine like terms Real + Real = Real Imaginary + Imaginary = Imaginary With two complex numbers, we treat the real parts and the imaginary parts as separate problems

Two problems? (4 + 7i) - (3 + 5i) = (4 + 7i) + (-3 - 5i)

Examples (-3 - 8i) - (-2 + 4i) = (-3 - 8i) + (2 - 4i)

Z1=1+5i, Z2=6+2i Treat as two vectors When we add vectors, you draw one vector, then start the second vector at the terminus of the first Order doesn’t matter Treat as two vectors When we add vectors, you draw one vector, then start the second vector at the terminus of the first Order doesn’t matter

Homework Page 65 Numbers 1-23