Advanced Geometry : How to graph complex numbers
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Example Questions
Example Question #181 : Coordinate Geometry
In the complex plane, the imaginary axis matches the y-axis and the real axis matches the x-axis.
When graphing complex numbers, we go left or right to graph the real number and then up or down to graph the complex number.
Example Question #181 : Coordinate Geometry
Refer to the above diagram, which shows four points on the complex plane.
Select the point which gives the result of the addition
To add two complex numbers, add the real parts and add the imaginary parts:
On the complex plane, a complex number whose real part is negative is left of the imaginary (vertical) axis; a complex number whose imaginary coefficient is positive is above the real (horizontal axis). 
Example Question #271 : Advanced Geometry
Refer to the above diagram, which shows two points on the complex plane. Let 
Add 
None of the other choices gives the correct response.
On the complex plane, the real and imaginary parts of a point are equal to the horizontal and vertical distances, respectively, from the origin to the point, with the right and upward directions representing positive quantities and the left and downward directions representing negative quantities. Refer to the diagram below, which shows the horizontal and vertical distances from the origin of both points.
We are asked to find 
To add two complex numbers, add the real parts and add the imaginary parts:
Example Question #182 : Coordinate Geometry
Refer to the above diagram, which shows two points on the complex plane. Let 
Subtract 
None of the other choices gives the correct response.
On the complex plane, the real and imaginary parts of a point are equal to the horizontal and vertical distances, respectively, from the origin to the point, with the right and upward directions representing positive quantities and the left and downward directions representing negative quantities. Refer to the diagram below, which shows the horizontal and vertical distances from the origin of both points.
We are asked to find 
To subtract two complex numbers, subtract the real parts and subtract the imaginary parts:
Example Question #272 : Advanced Geometry
Refer to the above diagram, which shows two points on the complex plane. Let 
Multiply 
On the complex plane, the real and imaginary parts of a point are equal to the horizontal and vertical distances, respectively, from the origin to the point, with the right and upward directions representing positive quantities and the left and downward directions representing negative quantities. Refer to the diagram below, which shows the horizontal and vertical distances from the origin of both points.
To multiply two complex numbers, use the FOIL method as if you were multiplying two binomials.
F(irst):
O(uter):
I(nner):
L(ast):
By definition, 
Add these quantities, collecting real parts (F and L) and imaginary parts (O and I):
Example Question #191 : Coordinate Geometry
Refer to the above diagram, which shows four points on the complex plane.
Select the point which gives the result of the subtraction
To subtract two complex numbers, subtract the real parts and subtract the imaginary parts:
On the complex plane, a complex number whose real part is positive is right of the imaginary (vertical) axis; a complex number whose imaginary coefficient is negative is below the real (horizontal axis). 
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