4-8 Complex Numbers Today’s Objective: I can compute with complex numbers.

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Presentation transcript:

4-8 Complex Numbers Today’s Objective: I can compute with complex numbers.

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

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

Complex Numbers a and b are real numbers Real Term Imaginary Term Addition & Subtraction Combine like terms Multiplication FOIL but remember p.253: 8-12, 18-26, 79, 81

4-8 Complex Numbers Day 2 Today’s Objective: I can divide complex numbers and solve quadratic equations with complex zeros.

Review Complex Numbers Evaluate: Real Term Imaginary Term Evaluate:

Complex Conjugates Complex Number Conjugate? Multiply Conjugates inverse operation between real and imaginary terms

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

Dividing Complex Numbers Task: Eliminate imaginary part from denominator.

Solve p. 253: odd, odd