Adding complex numbers

When adding complex numbers, simply group the real and imaginary parts together and then simplify.

Example #1:

Add (6 - 2i) and (-4 + 5i) together

Group the real parts and the imaginary parts together

(6 - 2i) + (-4 + 5i) = (6 + -4) + (-2i + 5i) = 2 + 3i

Example #2:

Add (-7 + -8i) and (3 + -i) together

Group the real parts and the imaginary parts together

(-7 + -8i) + (3 + -i) = (-7 + 3) + (-8i + -i) = -4 + -9i

Example #3:

Add (10i), 12, and (-8 + -6i) together

10i = 0 + 10i and 12 = 12 + 0i

Group the real parts and the imaginary parts together

10i + 12 + -8 + -6i = (0 + 10i) + (12 + 0i) + (- 8 + -6i) 

                             = (0 + 12 + -8) + (10i + 0i + -6i)

                             = 4 + 4i

Take this quiz about adding complex numbers to see how well you understand this lesson