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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.

Example 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

Solved Example on Addition of Complex Numbers

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

Related Terms for Addition of Complex Numbers

• Complex Numbers
• Imaginary part
• Real part

Additional Links for Addition of Complex Numbers

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