Copy of What is a complex number?

Author:Emily Gorman, Steve Phelps

An alternate way to refer to complex numbers.

How can we transform a "normal" coordinate plane (the Cartesian plane) into the complex plane?

Select all that apply

A
Add a third axis for complex numbers.
B
Label the x-axis the real axis and the y-axis the imaginary axis.
C
Label the y-axis the real axis and the x-axis the imaginary axis.
D
We cannot graph complex numbers on a plane.

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How do the values of a and b affect the position of a complex number (written as a+bi) on the plane?

Select all that apply

A
The a value is the real coordinate, the b value is the imaginary coordinate.
B
The a value is the imaginary coordinate, the b value is the real coordinate.
C
The a and b values have nothing to do with the position of the number.

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When will a complex number (of the form a+bi) be a point on the real axis?

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When will a complex number (of the form a+bi) be a point on the imaginary axis?

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Change the coordinates of A to the same point in each grid. In the second grid, what does the number in black represent? How could you calculate that value from your point on the first grid?

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Copy of What is a complex number?

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