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Addition of Complex Numbers Calculator

Online complex add/subtract: real and imaginary parts are combined separately.

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(a+bi)±(c+di)=(a±c)+(b±d)i
z₁
a
b
z₂
c
d

📖 Tutorial | Add/Subtract

1. Definition
(a+bi)±(c+di)=(a±c)+(b±d)i; real and imaginary parts combine separately.
2. Formula & Notation
z1,z2Complex numbers
3. Properties & Laws
  • Real with real;
  • Addition commutative;
  • Geometrically vectors;
  • Subtract via the opposite.
4. Steps
  1. Enter two numbers;
  2. Click "Add";
  3. Or click "Load Example".
5. Worked Examples
Example: (3+2i)+(1+4i): 4+6i.
6. Common Pitfalls
Keep parts separate;
Order for subtraction;
Collect like terms.

❓ FAQ | Add/Subtract

Add?
Separate parts.
Subtract?
Subtract.
Geometry?
Vectors.
Commutative?
Yes.
Example?
4+6i.
Opposite?
−a−bi.