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Name Date Adding, Subtracting, Multiplying Complex Numbers Matching Worksheet Write the letter of the answer that matches the problem. 1. (19 12i) (9 4i) a. 10 +20i 2. (2 + 7i) + (3 5i) b. 2 7i 3.

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To add two complex numbers , add the real part to the real part and the imaginary part to the imaginary part. To subtract two complex numbers, subtract the real part from the real part and the imaginary part from the imaginary part. To multiply two complex numbers, use the FOIL method and combine like terms .

(x + yi) u = xu + yu i. In other words, you just multiply both parts of the complex number by the real number. For example, 2 times 3 + i is just 6 + 2i. Geometrically, when you double a complex number, just double the distance from the origin, 0.

To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 5 + 3i and 4 + 2i is 9 + 5i. For another, the sum of 3 + i and –1 + 2i is 2 + 3i. Addition can be represented graphically on the complex plane C.

Examples on Adding and Subtracting Complex Numbers Example 1: Add the two complex numbers z = 3 - 4i and w = -5 + 7i. Solution: For adding complex numbers z and w, we will use the formula (a + ib) + (c + id) = (a + c) + i(b + d). ... Example 2: Subtract the complex numbers -12 + 6i and 7 + 5i.

43:20 1:23:35 Complex Numbers - Basic Operations - YouTube YouTube Start of suggested clip End of suggested clip Number. So on top let's distribute. I 5 times i is 5i. And negative 2i times i is negative 2iMoreNumber. So on top let's distribute. I 5 times i is 5i. And negative 2i times i is negative 2i squared on the bottom i times i is simply i squared.

5:07 6:28 Multiplying Complex Numbers - YouTube YouTube Start of suggested clip End of suggested clip It. This is equivalent to 2 plus 3i times 2 plus 3i. So we need to foil. 2 times 2 is equal to 4.MoreIt. This is equivalent to 2 plus 3i times 2 plus 3i. So we need to foil. 2 times 2 is equal to 4. And then 2 times 3i that's positive 6i. And then 3i times 2 that's positive 6i as well.

1:09 6:04 Complex Numbers Add, Subtract, Multiply, Divide - YouTube YouTube Start of suggested clip End of suggested clip All you have to do is add the real parts 3 plus 4 which equals 7. And then add the imaginary. PartsMoreAll you have to do is add the real parts 3 plus 4 which equals 7. And then add the imaginary. Parts you can almost imagine that I as a variable like X Y or Z 2i.

0:00 1:25 How to subtract complex numbers - YouTube YouTube Start of suggested clip End of suggested clip And then combine the like. Terms. So let's get rid of the parentheses. First i have 4 minus 2i and iMoreAnd then combine the like. Terms. So let's get rid of the parentheses. First i have 4 minus 2i and i've returned this without the parentheses. Now here i have a negative sign outside the parentheses.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232