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Complex Number Operation Calculator — result sheet
Add, subtract, multiply, or divide two complex numbers in rectangular form.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Use i²=−1; division multiplies numerator and denominator by the denominator conjugate.
The rectangular result and its magnitude are returned so component arithmetic can be checked geometrically.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Operation — 4 choices
- First real part — minimum -1000000; maximum 1000000
- First imaginary part — minimum -1000000; maximum 1000000
- Second real part — minimum -1000000; maximum 1000000
- Second imaginary part — minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Operation | add |
| First real part | 3 |
| First imaginary part | 2 |
| Second real part | 1 |
| Second imaginary part | -4 |
Result =4−2i; magnitude =√20.
Assumptions and limits
- Inputs are finite real and imaginary components; division requires a nonzero second complex number.
- The calculation uses rectangular complex arithmetic.
- Polar branch choices, symbolic simplification, and application-specific units are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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