Add, Subtract, and Multiply Complex Numbers
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a complex number?
Back
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1.
Tags
CCSS.HSN.CN.A.1
2.
FLASHCARD QUESTION
Front
How do you add complex numbers?
Back
To add complex numbers, combine the real parts and the imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.
Tags
CCSS.HSN.CN.A.2
3.
FLASHCARD QUESTION
Front
How do you subtract complex numbers?
Back
To subtract complex numbers, subtract the real parts and the imaginary parts separately. For example, (a + bi) - (c + di) = (a - c) + (b - d)i.
Tags
CCSS.HSN.CN.A.2
4.
FLASHCARD QUESTION
Front
What is the product of two complex numbers (a + bi)(c + di)?
Back
The product is given by (ac - bd) + (ad + bc)i.
Tags
CCSS.HSN.CN.A.2
5.
FLASHCARD QUESTION
Front
What is the conjugate of a complex number a + bi?
Back
The conjugate of a complex number a + bi is a - bi.
Tags
CCSS.HSN.CN.A.3
6.
FLASHCARD QUESTION
Front
How do you multiply a complex number by its conjugate?
Back
Multiplying a complex number by its conjugate results in a real number: (a + bi)(a - bi) = a^2 + b^2.
Tags
CCSS.HSN.CN.A.2
7.
FLASHCARD QUESTION
Front
What is the result of (1-3i)(2+5i)?
Back
The result is 17 - i.
Tags
CCSS.HSN.CN.C.8
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Classlink
Continue with Clever
or continue with
Microsoft
%20(1).png)
Apple
Others
Already have an account?
