Operations on Complex Numbers

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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.
2.
FLASHCARD QUESTION
Front
What is the imaginary unit 'i'?
Back
The imaginary unit 'i' is defined as i = √(-1). It is used to represent the square root of negative numbers.
3.
FLASHCARD QUESTION
Front
How do you multiply complex numbers?
Back
To multiply complex numbers, use the distributive property (FOIL method) and combine like terms. For example, (a + bi)(c + di) = ac + adi + bci + bdi², where i² = -1.
4.
FLASHCARD QUESTION
Front
What is the result of multiplying 3i(4 - i)?
Back
3 + 12i.
5.
FLASHCARD QUESTION
Front
How do you simplify powers of 'i'?
Back
Powers of 'i' cycle every four: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1. To simplify i^n, find n mod 4.
6.
FLASHCARD QUESTION
Front
What is the simplified form of i^24?
Back
1.
7.
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.
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Complex Numbers Operations

Flashcard
•
9th - 12th Grade
15 questions
Complex Numbers

Flashcard
•
9th - 12th Grade
15 questions
Complex Number Test Review

Flashcard
•
9th - 12th Grade
15 questions
Complex Numbers Practice

Flashcard
•
9th - 12th Grade
15 questions
W2 #5 Adding and Subtracting Complex Numbers

Flashcard
•
9th - 12th Grade
15 questions
Complex Numbers

Flashcard
•
9th - 12th Grade
15 questions
Complex Numbers

Flashcard
•
9th - 12th Grade
15 questions
5.3 Operations with Complex Numbers

Flashcard
•
9th - 12th Grade
Popular Resources on Wayground
10 questions
Lab Safety Procedures and Guidelines

Interactive video
•
6th - 10th Grade
10 questions
Nouns, nouns, nouns

Quiz
•
3rd Grade
10 questions
9/11 Experience and Reflections

Interactive video
•
10th - 12th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
11 questions
All about me

Quiz
•
Professional Development
22 questions
Adding Integers

Quiz
•
6th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
9 questions
Tips & Tricks

Lesson
•
6th - 8th Grade
Discover more resources for Mathematics
12 questions
Graphing Inequalities on a Number Line

Quiz
•
9th Grade
15 questions
Two Step Equations

Quiz
•
9th Grade
16 questions
Segment Addition Postulate

Quiz
•
10th Grade
12 questions
Absolute Value Equations

Quiz
•
9th Grade
20 questions
Parallel Lines and Transversals Independent Practice

Quiz
•
10th Grade
15 questions
Combine Like Terms and Distributive Property

Quiz
•
8th - 9th Grade
16 questions
Parallel Lines cut by a Transversal

Quiz
•
10th Grade
20 questions
Solving Multi-Step Equations

Quiz
•
10th Grade