Copy of What is a complex number?

An alternate way to refer to complex numbers.

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

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

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

The [i]a[/i] value is the real coordinate, the [i]b [/i]value is the imaginary coordinate. The [i]a[/i] value is the imaginary coordinate, the [i]b [/i]value is the real coordinate. The [i]a[/i] and [i]b[/i] values have nothing to do with the position of the number.

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

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

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?

Copy of What is a complex number?

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