Common Core Algebra II.Unit 9.Lesson 1.Imaginary Numbers.
The Commutative and Associative Properties of Multiplication hold true for pure imaginary numbers. The first few powers of i are shown below. — (i2)2 or 1 — (i2)4 or I Or —I tor i3 or —i pure Imaginary Numbers In your math studies so far, you have worked with real numbers. Eq uations like the one above led mathematicians to define imaginary numbers. The imaginary unit i is defined to.
A pure imaginary number is any complex number whose real part is equal to 0. A complex number is a number with both real and imaginary parts written. See full answer below.
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Unit 4: Complex Numbers and Quadratic EquationsUnit 5: Radical Functions and EquationsUnit 6:. Homework. Exit Ticket. Imaginary Numbers Day 2 of 2. Add to Favorites. 6 teachers like this lesson. Print Lesson. Share. Objective. Students will be able to define imaginary numbers and use them to perform operations. Big Idea. Repeated reasoning is a central feature in this lesson. Lesson Author.
Link to homework and resources for Unit 1 can be found here: Unit 1 Homework 1.1 Real Numbers and Properties This video talk about the properties of numbers and explains each property as well as examples for each property.
Students will practice dividing complex numbers. Note: We have two different worksheets that involve dividing complex numbers. This is the first one and involves rationalizing the denominator using complex conjugates. See the examples below. The second sheet involves more complicated problems involving multiple expressions.
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