Math Example--Complex Numbers--Complex Coordinates--Example 7

Topic

Complex Numbers

Description

This image contains Example 7, depicting how to graph a new batch of complex numbers in the complex coordinate plane. The numbers to plot are: 1 + i, 5 + 3i, 2 - 8i, and 9 - 3i. Example 7. Plot the following complex numbers on the Complex Coordinate Plane: 1 + i, 5 + 3i, 2 - 8i, and 9 - 3i. Solution: Two points with positive real and imaginary parts are in the First Quadrant. Two points with positive real and negative imaginary parts are in the Fourth 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 system consists of two separate number line. 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.