5-6 Complex Numbers Part 1 Big Idea: Identify and graph complex numbers.
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Transcript of 5-6 Complex Numbers Part 1 Big Idea: Identify and graph complex numbers.
5-65-6Complex NumbersComplex Numbers
Part 1Part 1Big Idea: Identify and graph complex numbers.
Imaginary NumbersImaginary NumbersImaginary numbers are
represented by .
Imaginary numbers are defined as the number whose square is -1. So and
Imaginary numbers are of the form of a + bi where a and b are real numbers and b 0.
i 1
Ex 1Ex 1: Simplify each number by : Simplify each number by using imaginary number i.using imaginary number i.A) B)
C) D) -
49 25
200 75
E) F) 1005 166
Complex NumbersComplex Numbers
Ex 2Ex 2: Write each number in the : Write each number in the form of a + bi.form of a + bi.A) B)
C) D)
54 1032
46 172
E) F) 1255 366
Complex Plane
Absolute value of a complex Absolute value of a complex numbernumber
22 babia
Ex 3Ex 3: Find the absolute value of : Find the absolute value of each complex number.each complex number.A) B)
C) D)
i5 i8
i31 i25
Ex 4Ex 4: Simplify each expression.: Simplify each expression.A) (5 – 2i)+ (-3 +i)
B) (-7 + 3i) +(-4 – 4i)
C) (6 + 10i) + (-6i)
D) 7 - (9 - 4i)