Algebra of Complex Numbers

Complex numbers follow the same algebraic rules as real numbers, with the additional property that .

Addition of Complex Numbers

Example: Addition

Subtraction of Complex Numbers

Multiplication of Complex Numbers

Example: Multiplication

Division of Complex Numbers

Example: Division

Properties of Complex Numbers

Multiplicative Inverse

Example: Finding Inverse

Practice Problems

1. Add .
2. Multiply .
3. Divide .
4. Find the inverse of .