Multiplication
| Site: | Clare-Gladwin RESD |
| Course: | Michigan Algebra II KHauck |
| Book: | Multiplication |
| Printed by: | Guest user |
| Date: | Tuesday, November 26, 2024, 12:26 AM |
Description
Multiplying
Multiplying complex numbers operates similarly to multiplying polynomials. When multiplying complex numbers use the Distributive Property to multiply every term of one complex number by every term of the other complex number, then simplify by combining like terms. When simplifying, remember that i2 = -1.
Example 1
Simplify the following expression
Step 1 . Multiply each term in the first complex number through the second complex number.
Step 2. Use the Distributive Property on the two new terms.
Step 3. Multiply the monomials in each term.
Step 4. Replace i2with -1 and simplify.
Step 5. Combine like terms, if needed, and write in standard form.
Example 2
Simplify the following expression
Step 1. Simplify the radicals using imaginary numbers.
Step 2. Multiply each term in the first complex number through the second complex number.
Step 3. Use the Distributive Property on the two new terms.
Step 4. Replace i2with -1 and simplify.
Step 5. Combine like terms, if needed, and write in standard form.
Video Lesson
To learn how to multiply complex numbers select the following link:
http://my.hrw.com/math06_07/nsmedia/lesson_videos/alg2/player.html?contentSrc=7120/7120.xmlInteractive Activity
Practice with multiplying and dividing complex numbers.http://www.regentsprep.org/Regents/math/algtrig/ATO6/multprac.htm
Practice
Multiplying Complex Numbers Worksheet*Note: If Google Docs displays "Sorry, we were unable to retrieve the document for viewing." refresh your browser.
Answer Key
Multiplying Complex Numbers Key*Note: If Google Docs displays "Sorry, we were unable to retrieve the document for viewing." refresh your browser.
Sources
Sources used in this book:
Embracing Mathematics, Assessment & Technology in High Schools; a Michigan Mathematics & Science Partnership Grant Project
Holt, Rinehart & Winston, "Quadratic Functions." http://my.hrw.com/math06_07/nsmedia/homework_help/alg2/alg2_ch05_09_homeworkhelp.html (accessed 8/10/2010).
Roberts, Donna. "Practice Multiplying and Dividing Complex Numbers." http://www.regentsprep.org/Regents/mathb/3C4/multprac.htm (accessed 8/10/2010).