# Complex Numbers Properties & Powers of i

## Presentation on theme: "Complex Numbers Properties & Powers of i"— Presentation transcript:

Complex Numbers 1 2 3 Properties & Powers of i
Operations with Complex Numbers 3 Practice Problems

Properties of i

Powers of i

Addition and Multiplication of Complex Numbers
Treat as you would a variable Remember the powers of i

Multiplication of Complex Numbers Example

More Examples of Operations with Complex Numbers

Even More Examples of Operations with Complex Numbers

And Even More Examples of Operations with Complex Numbers

Quotients of Complex Numbers
Solve as you would with a radical in the denominator Multiply by a quotient which simplifies to 1 and whose denominator when multiplied by the denominator of the original problem creates a real number In the case of a polynomial, multiply the conjugate (i.e ) NEVER leave a complex number in the denominator

Quotients of Complex Numbers Example

Quotients of Complex Numbers Example

Roots of Negative Numbers