5 - 4: Complex Numbers (Day 2) Objective: CA 5.0: Students demonstrate knowledge of how real number and complex numbers are related both arithmetically.

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Presentation transcript:

5 - 4: Complex Numbers (Day 2) Objective: CA 5.0: Students demonstrate knowledge of how real number and complex numbers are related both arithmetically and graphically.

To multiply complex numbers use the distributive property or the FOIL method.

Example 5: Write each expression as a complex number in standard form.

Example 6:

Example 7:

Complex Conjugates. Complex conjugates have the form The product of complex conjugates is always a real number.

Dividing Complex Numbers Write the quotient in standard form. The key is to multiply the numerator and the denominator by the complex conjugate of the denominator

The absolute value of a complex number Geometrically, the absolute value of a complex number is the numbers distance from the origin in the complex plane.

Example 8: Finding the absolute values of a Complex Number Which number is the furthest from the origin in the complex plane?

Homework: Ppage 278 #47 – 71 odd