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Complex Numbers

Complex Numbers. Today’s Objective: I can compute with complex numbers. Number System. Complex Numbers. Real Numbers. Rational Numbers Ratios (fractions). Imaginary Numbers. Irrational Numbers π , . Integers …,-2, -1, 0, 1, 2, …. Natural Numbers 1, 2, 3, . . .

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Complex Numbers

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  1. Complex Numbers Today’s Objective: I can compute with complex numbers.

  2. Number System Complex Numbers Real Numbers Rational NumbersRatios (fractions) Imaginary Numbers Irrational Numbersπ, Integers…,-2, -1, 0, 1, 2, … Natural Numbers1, 2, 3, . . .

  3. Simplify each expression. Imaginary unit: Solve for x. The circle of i.

  4. Complex Numbers ImaginaryTerm Real Term a and b are real numbers Addition & Subtraction Multiplication Combine like terms FOIL but remember 4-8 p.253: 8-12, 18-26, 79, 80

  5. Complex NumbersDay 2 Today’s Objective: I can divide complex numbers and solve quadratic equations with complex zeros.

  6. Review Complex Numbers Evaluate: Real Term ImaginaryTerm Evaluate:

  7. Complex Conjugates inverse operation between real and imaginary terms Multiply Conjugates ComplexNumber Conjugate?

  8. Dividing Complex Numbers Task: Eliminate imaginary part from denominator. Multiply by the conjugate of the denominator.

  9. Dividing Complex Numbers Task: Eliminate imaginary part from denominator.

  10. Solve Pg. 253#27-32, 39-41, 47-55

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