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Addition of Complex Numbers


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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

  • Click here for samples

  • Back to Mathematics Dictionary


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PRV:Addition Property of Equality and Inequality
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