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

Recent Articles

  1. How To Find The Factors Of 20: A Simple Way

    Sep 17, 23 09:46 AM

    Positive factors of 20
    There are many ways to find the factors of 20. A simple way is to...

    Read More

  2. The SAT Math Test: How To Be Prepared To Face It And Survive

    Jun 09, 23 12:04 PM

    SAT math
    The SAT Math section is known for being difficult. But it doesn’t have to be. Learn how to be prepared and complete the section with confidence here.

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes

 Recommended

Math vocabulary quizzes