Arithmétique
Complex Number Calculator: Interactive Tool for Complex Arithmetic
Explore complex number arithmetic with our interactive calculator! Perform addition, subtraction, multiplication, and division of complex numbers. Visualize results and understand complex number operations easily.
Enter Complex Numbers
First Complex Number (z1):
i
Second Complex Number (z2):
i
Choose Operation
Result
Understanding Complex Numbers
Complex numbers are numbers of the form \(a + bi\), where \(a\) and \(b\) are real numbers, and \(i\) is the imaginary unit with the property \(i^2 = -1\).
Basic Operations:
- Addition: \((a + bi) + (c + di) = (a+c) + (b+d)i\)
- Subtraction: \((a + bi) - (c + di) = (a-c) + (b-d)i\)
- Multiplication: \((a + bi) \times (c + di) = (ac - bd) + (ad + bc)i\)
- Division: \(\frac{a + bi}{c + di} = \frac{ac + bd}{c^2 + d^2} + \frac{bc - ad}{c^2 + d^2}i\)
Use this interactive tool to perform these operations and deepen your understanding of complex numbers. Explore further resources online or in textbooks to learn more about complex number theory and applications.
Learn more about complex numbers on Wikipedia or Khan Academy.