Complex Arithmetic
Add, subtract, multiply or divide two complex numbers.
Your numbers
Result real part
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
Up to three snapshots in this tab. Loading one replaces the current inputs.
Formula
(a+bi)(c+di)=(ac−bd)+(ad+bc)i; division uses the conjugate.
Add, subtract, multiply or divide two complex numbers.
Worked example
- A real part
- 2
- A imaginary part
- 3
- B real part
- 4
- B imaginary part
- -5
- Operation
- Add
- Result real part
- 6
- Result imaginary part
- -2
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 9fb5aaa5eed5 · Example checked: