Algebra 2 Companion Book, Volume 1

5.2.3 Operations with Complex Numbers Key Objectives • Graph complex numbers. • Perform operations with complex numbers. Example 1 Graphing Complex Numbers

Complex numbers can be represented graphically on a special coordinate plane called the complex plane. In the complex plane, the horizontal axis represents real numbers and the vertical axis represents imaginary numbers. To graph a complex number a + bi on the complex plane, think of a as the x -coordinate and b as the y -coordinate of an ordered pair ( x , y ).

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