# Question Video: Representing Complex Numbers on an Argand Diagram Mathematics • 12th Grade

If the number π = 8 + π is represented on an Argand diagram by the point π΄, determine the Cartesian coordinates of that point.

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### Video Transcript

If the number π equals eight plus π is represented on an Argand diagram by the point π΄, determine the Cartesian coordinates of that point.

To answer this question, we absolutely could go ahead and plot the complex number π on the Argand diagram and then read the information from there. But thatβs quite a long-winded way to go about answering this question. Instead, we remind ourselves of the definition of the Argand diagram. We know that a complex number of the form π₯ plus π¦π can be represented by a point whose Cartesian coordinates are π₯, π¦. The real part is the π₯-coordinate. And the imaginary part is the π¦-coordinate.

The real part of our complex number is eight. And we can figure the imaginary part as the coefficient of π. So in this case, the imaginary part of π is one. This means the Cartesian coordinates of the point that represents the complex number π on the Argand plane are eight, one.