Math Example--Complex Numbers--Complex Coordinates--Example 8

Topic

Complex Numbers

Description

This is Example 8, which also includes a plotting exercise of complex numbers on the coordinate plane. The complex numbers shown are: -1 + i, -5 - 3i, -2 - 8i, and -9 - 3i. Example 8. Plot the following complex numbers on the Complex Coordinate Plane: -1 + i, -5 - 3i, -2 - 8i, and -9 - 3i. Solution: Two points with negative real and positive imaginary parts are in the Second Quadrant. Two points with negative real and imaginary parts are in the Third Quadrant.

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.