Complex Number Addition Calculator
Easily add two complex numbers with our online calculator. Visualize complex number addition and understand the process step-by-step.
Complex Number 1 $$z_1 = a + bi$$
Complex Number 2 $$z_2 = c + di$$
Sum $$z_1 + z_2 = (a+c) + (b+d)i$$
Visual Representation
Understanding Complex Number Addition
Complex numbers are numbers that can be expressed in the form $$a + bi$$, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit (defined as $$i^2 = -1$$). 'a' is the real part, and 'b' is the imaginary part.
To add two complex numbers, say $$z_1 = a + bi$$ and $$z_2 = c + di$$, you simply add their real parts together and their imaginary parts together.
The formula for complex number addition is: $$z_1 + z_2 = (a + c) + (b + d)i$$
This calculator helps you perform this addition and visualize it on the complex plane, where the x-axis represents the real part and the y-axis represents the imaginary part.