Complex Number Operations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned
Quizizz Content
FREE Resource
Student preview

16 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 i^2 = -1.
Tags
CCSS.HSN.CN.A.1
2.
FLASHCARD QUESTION
Front
What is the sum of two complex numbers?
Back
To add two complex numbers, add their real parts and their imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.
Tags
CCSS.HSN.CN.A.2
3.
FLASHCARD QUESTION
Front
What is the difference of two complex numbers?
Back
To subtract two complex numbers, subtract their real parts and their imaginary parts separately. For example, (a + bi) - (c + di) = (a - c) + (b - d)i.
Tags
CCSS.HSN.CN.A.2
4.
FLASHCARD QUESTION
Front
How do you multiply two complex numbers?
Back
To multiply two complex numbers, use the distributive property (FOIL method). For example, (a + bi)(c + di) = ac + adi + bci + bdi^2, and simplify using i^2 = -1.
Tags
CCSS.HSN.CN.A.2
5.
FLASHCARD QUESTION
Front
What is the square of a complex number?
Back
The square of a complex number (a + bi) is calculated as (a + bi)^2 = a^2 + 2abi + (bi)^2 = a^2 - b^2 + 2abi.
Tags
CCSS.HSN.CN.C.8
6.
FLASHCARD QUESTION
Front
What is the conjugate of a complex number?
Back
The conjugate of a complex number a + bi is a - bi. It is used to simplify division of complex numbers.
Tags
CCSS.HSN.CN.A.3
7.
FLASHCARD QUESTION
Front
How do you divide complex numbers?
Back
To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator. For example, (a + bi) / (c + di) = [(a + bi)(c - di)] / [(c + di)(c - di)].
Tags
CCSS.HSN.CN.A.3
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Complex Number Practice

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

Flashcard
•
9th - 12th Grade
15 questions
Complex Number Operations 23-24 R

Flashcard
•
9th - 12th Grade
15 questions
Alg 2: Adding and Subtracting, Multiplying Complex Numbers

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

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

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

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

Flashcard
•
9th - 12th Grade
Popular Resources on Wayground
25 questions
Equations of Circles

Quiz
•
10th - 11th Grade
30 questions
Week 5 Memory Builder 1 (Multiplication and Division Facts)

Quiz
•
9th Grade
33 questions
Unit 3 Summative - Summer School: Immune System

Quiz
•
10th Grade
10 questions
Writing and Identifying Ratios Practice

Quiz
•
5th - 6th Grade
36 questions
Prime and Composite Numbers

Quiz
•
5th Grade
14 questions
Exterior and Interior angles of Polygons

Quiz
•
8th Grade
37 questions
Camp Re-cap Week 1 (no regression)

Quiz
•
9th - 12th Grade
46 questions
Biology Semester 1 Review

Quiz
•
10th Grade