Complex Numbers.

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Presentation transcript:

Complex Numbers

Objectives Perform operations on complex numbers.

Imaginary Numbers Imaginary Unit, i : Imaginary Numbers : If r > 0, then the imaginary is defined as follows:

Complex Numbers A complex number is any number that can be written as a + bi, where a and b are real numbers; a is called the real part and b is called the imaginary part.

Simplify 1. 2.

Simplify 3. 4.

Simplify 5. 6.

Simplify 7. 8.

Conjugate of a Complex Number The conjugate of a complex number a + bi is a – bi.

Write the conjugate of each complex number. 9. 2 + 3i 10. -1 – 2i

Simplify 11. 12.

Simplify 13. 14.

Simplify 15. 16.

Homework Worksheet