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How do I graph and find the absolute values of complex numbers?

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Presentation on theme: "How do I graph and find the absolute values of complex numbers?"— Presentation transcript:

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2 How do I graph and find the absolute values of complex numbers?

3 1.4 Use the Complex Plane Example 1 Plot the complex numbers Plot the complex numbers in the same complex plane. a.To plot 2 + 4i, start at the origin, move 2 units _____, then move 4 units ___. right up b.To plot 1  3i, start at the origin, move 1 unit _____, then move 3 units ______. right down c.To plot  4  4i, start at the origin, move 4 units _____, then move 4 units ____. left up d.To plot  3i, start at the origin, move 3 units ______. down e.To plot  2  2i, start at the origin, move 2 units _____, then move 2 units ______. left down

4 1.4 Use the Complex Plane Checkpoint. Complete the following exercise. Plot the complex numbers in the same plane.

5 1.4 Use the Complex Plane Example 2 Find the absolute values of complex numbers Find the absolute value of the complex number. Solution Definition of _______________. Evaluate powers. Simplify.

6 1.4 Use the Complex Plane Example 2 Find the absolute values of complex numbers Find the absolute value of the complex number. Solution Definition of absolute value. Evaluate powers. Simplify.

7 Evaluate ______________. 1.4 Use the Complex Plane Example 2 Find the absolute values of complex numbers Find the absolute value of the complex number. Solution Definition of absolute value. Evaluate powers. Simplify.

8 Evaluate square root. 1.4 Use the Complex Plane Example 2 Find the absolute values of complex numbers Find the absolute value of the complex number. Solution Definition of absolute value. Evaluate powers. Simplify.

9 1.4 Use the Complex Plane Checkpoint. Find the absolute value of the complex number.

10 1.4 Use the Complex Plane Checkpoint. Find the absolute value of the complex number.

11 1.4 Use the Complex Plane Pg. 19, 1.4 #1-24


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