Imaginary Numbers
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+3
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
i^2 = -1.
Tags
CCSS.HSN.CN.A.1
3.
FLASHCARD QUESTION
Front
What is the pattern of powers of i?
Back
The powers of i cycle every four: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1, and then it repeats.
Tags
CCSS.HSN.CN.A.2
4.
FLASHCARD QUESTION
Front
Simplify: i^79
Back
-i.
Tags
CCSS.HSN.CN.A.2
5.
FLASHCARD QUESTION
Front
What is the product of two imaginary numbers?
Back
The product of two imaginary numbers can be a real number. For example, (ai)(bi) = -ab.
Tags
CCSS.HSN.CN.A.2
6.
FLASHCARD QUESTION
Front
Simplify: (3i)(-2 + 4i)
Back
-12 - 6i.
Tags
CCSS.HSN.CN.C.8
7.
FLASHCARD QUESTION
Front
How do you add complex numbers?
Back
To add complex numbers, combine the real parts and the imaginary parts separately.
Tags
CCSS.7.NS.A.1C
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