4.48 Dividing Complex Numbers

Flashcard
•
Mathematics
•
9th - 12th Grade
•
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
What is the conjugate of a complex number?
Back
The conjugate of a complex number a + bi is a - bi. It is used in division to eliminate the imaginary part from the denominator.
Tags
CCSS.HSN.CN.A.3
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 + bdi^2.
Tags
CCSS.HSN.CN.A.2
4.
FLASHCARD QUESTION
Front
What is the formula for dividing complex numbers?
Back
To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator. For example, to divide (a + bi) by (c + di), multiply by (c - di)/(c - di).
Tags
CCSS.HSN.CN.A.3
5.
FLASHCARD QUESTION
Front
What is the result of multiplying a complex number by its conjugate?
Back
The result of multiplying a complex number a + bi by its conjugate a - bi is a^2 + b^2, which is a real number.
Tags
CCSS.HSN.CN.C.8
6.
FLASHCARD QUESTION
Front
What is the significance of the denominator in complex division?
Back
The denominator in complex division must be a real number after multiplying by the conjugate, allowing for simplification of the expression.
Tags
CCSS.HSN.CN.A.3
7.
FLASHCARD QUESTION
Front
How do you simplify a complex fraction?
Back
To simplify a complex fraction, multiply the numerator and denominator by the conjugate of the denominator and simplify the resulting expression.
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Imaginary & Complex Numbers

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

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

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

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

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

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

Flashcard
•
9th - 12th Grade
15 questions
Operations on 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