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Mathematics 14 Online
OpenStudy (anonymous):

Identify the graph of 4 + 2i.

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

@Geckoh2o

OpenStudy (anonymous):

@ZeHanz

zepdrix (zepdrix):

If it helps, maybe just compare it to the normal Cartesian plane. The number attached to the i represents a movement in the Y direction. So you can think of our point in the complex plane sort of like, (4,2) Remember how to plot points in the regular coordinate system? :D

OpenStudy (zehanz):

zepdrix is right, you should not see 4 + 2i as adding two numbers. The 4 is called the real part and the 2 is the imaginary part (that's why it says 2i). Real numbers can be found on the real line, the horizontal axis, imaginary numbers are on the imaginary line or imaginary axis. These two axes form a plane, which is called the complex plane. 4+2i is plotted in the complex plane at the position (4, 2).

OpenStudy (anonymous):

is 4 up or to the side

OpenStudy (zehanz):

4 is the real part, so to the side (right), 2 is the imaginary part, so up

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