IM Alg2.3.12 Lesson: Arithmetic with Complex Numbers
Find the value of these expressions mentally.
This diagram represents (2+3i)+(-8-8i).
How do you see represented?
How do you see represented?
What complex number does represent?
Add “like terms” in the expression . What do you get?
Write these sums and differences in the form , where and are real numbers. (Check your work by drawing a diagram in the applet below.)
Drag the points to represent 2, 2², 2³, and 2⁴ on the real number line.
Write in the form .
Write in the form .
Write in the form .
Write in the form .
Plot , , , and on the complex plane.
If and are positive numbers, is it true that ? Explain how you know.
If and are negative numbers, is it true that ? Explain how you know.