Free Complex Number Arithmetic Calculator
Add, subtract, multiply and divide complex numbers.
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Inputs
Result
a + b
4.000 − 2.000i
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Short answer
Add, subtract, multiply and divide complex numbers.
What is the Complex Number Arithmetic Calculator?
Add, subtract, multiply and divide complex numbers.
How does the Complex Number Arithmetic Calculator work?
Enter the inputs above and read the result.
Formula
Variables
iImaginary unit, √−1
Explanation
Complex arithmetic combines real and imaginary parts separately, with i² = −1.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Complex Number Arithmetic Calculator sits inside the Math Calculators hub, in the algebra & equations cluster. Solving for unknowns and manipulating expressions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Complex Number Arithmetic
Add, subtract, multiply and divide complex numbers. Within math calculators, complex number arithmetic belongs to the algebra & equations cluster, where it shares terminology and assumptions with closely related tools.
Learning how complex number arithmetic is calculated
Complex arithmetic combines real and imaginary parts separately, with i² = −1. Working through the variables one at a time — i — makes the result reproducible by hand and easier to sanity-check.
Using complex number arithmetic to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How complex number arithmetic compares with related measures
equation, root, exponent, logarithm all describe adjacent aspects of algebra & equations. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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