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Complex Numbers TENNESSEE STATE STANDARDS:

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Presentation on theme: "Complex Numbers TENNESSEE STATE STANDARDS:"— Presentation transcript:

1 Complex Numbers TENNESSEE STATE STANDARDS:
HSN-CN.A.1 Know there is a complex number i such that i2 = −1, and every complex number has the form a + bi with a and b real. HSN-CN.A.2 Use the relation i2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. HSN-CN.A.3(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. HSN-CN.B.4(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

2 Can you solve for x? i = Imaginary unit ( ) then
You cannot take the square root of a negative number! Calculator gives error message. i = Imaginary unit ( ) then

3 Examples: 8.1 workbook page 123).
Write each number in terms of i.

4 Graph: (2.) A.) - 4 - i B.) 5 TRY: 1 + 3i *C *B *A Y = Imaginary Axis
X = Real Axis *A

5 8.2 workbook

6

7 Use a Conjugate

8 8.3 workbook Workbook page 133: Try These a & b.

9


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