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Math Example--Complex Numbers--Complex Coordinates--Example 11

Math Example--Complex Numbers--Complex Coordinates--Example 11

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Topic

Complex Numbers

Description

The image shows a complex coordinate plane with four plotted points: -1 + 0i, -5 + 0i, 0 + 0i (at origin), and 9 + 0i. All points lie on the x-axis as their imaginary parts are zero. Example 11: Plot the complex numbers -1 + 0i, -5 + 0i, 0 + 0i, and 9 + 0i on the complex coordinate plane. One point is at the origin (0 + 0i), and all other points lie on the x-axis since their y-coordinates (imaginary parts) are zero.

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.

Common Core Standards CCSS.MATH.CONTENT.HSN.CN.B.4, CCSS.MATH.CONTENT.HSN.CN.B.5, CCSS.MATH.CONTENT.HSN.CN.B.6
Grade Range 9 - 12
Curriculum Nodes Algebra
    • Expressions, Equations, and Inequalities
        • Numerical and Algebraic Expressions
Copyright Year 2020
Keywords complex numbers