Simplifying Imaginary Numbers
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
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1.
FLASHCARD QUESTION
Front
What is an imaginary number?
Back
An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.
Tags
CCSS.HSN.CN.A.1
2.
FLASHCARD QUESTION
Front
What is the value of i^2?
Back
-1
Tags
CCSS.HSN.CN.A.1
3.
FLASHCARD QUESTION
Front
What is the value of i^3?
Back
-i
Tags
CCSS.HSN.CN.A.2
4.
FLASHCARD QUESTION
Front
What is the value of i^4?
Back
1
Tags
CCSS.HSN.CN.A.2
5.
FLASHCARD QUESTION
Front
How do you simplify the expression i^n for n = 5?
Back
i^5 = i^(4+1) = i^4 * i = 1 * i = i.
Tags
CCSS.HSN.CN.A.2
6.
FLASHCARD QUESTION
Front
What is the pattern in the powers of i?
Back
The powers of i cycle every four: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.
Tags
CCSS.HSN.CN.A.2
7.
FLASHCARD QUESTION
Front
Solve for x: x² + 12 = 5
Back
x = ± i√7
Tags
CCSS.HSA-REI.B.4B
CCSS.HSN.CN.C.7
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