Math Example--Complex Numbers--Complex Coordinates--Example 13

Topic

Complex Numbers

Description

The image shows a complex coordinate plane with four points plotted on it. The points represent the complex numbers 0 + 0i, 0 + 4i, -6 + 0i, and 6 + 0i. The x-axis represents real numbers, and the y-axis represents imaginary numbers. Example 13: The task is to plot the following complex numbers on the complex coordinate plane: 0 + 0i, 0 + 4i, -6 + 0i, and 6 + 0i. The solution explains that one point is at the origin, one is on the y-axis, and two are on the x-axis.

Complex numbers allow for a two-dimensional representation of numbers using real and imaginary components. Examples like these help students grasp how to plot complex coordinates, understanding both real and imaginary axes.

Seeing multiple worked-out examples is crucial for students to fully understand complex concepts like plotting complex numbers. Through varied examples, students can see consistent patterns and learn effective strategies.

Teacher’s Script: The complex coordinate plane consists of two separate number lines. Each complex number has a place on this plane, just like how we plot coordinates. Let's use this example to practice reading and plotting complex coordinates.

For a complete collection of math examples related to Complex Numbers click on this link: Math Examples: Complex Coordinates Collection.