Addition of Complex Numbers

Definition of Addition of Complex Numbers

    To add Complex Numbers, add the similar terms (real and imaginary) algebraically.

More About Addition of Complex Numbers

    If parentheses are enclosed, first remove the parentheses; then place the real parts and imaginary parts together, and add.

Examples of Addition of Complex Numbers

    To add (8 + 4i) and (1 + 2i), group the like terms and add.
    (8 + 1) + (4 + 2) i = 9 + 6i

Video Examples: Addition of Complex Numbers.


Solved Example on Addition of Complex Numbers

Ques: Simplify: (5 - 4i) + (- 1 + 2i)

    Choices:
    A. 4 – 2i
    B. 5 – 4i
    C. 4 + 4i
    D. – 4 – 2i
    Correct Answer: A

Solution:

    Step 1: (5 - 4i) + (- 1 + 2i)
    Step 2: = (5 - 1) + (- 4 + 2) i [Group the like terms.]
    Step 3: = 4 - 2i
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