Imaginary Numbers

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are imaginary numbers?
Back
Imaginary numbers are numbers 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 imaginary unit 'i'?
Back
The imaginary unit 'i' is defined as i = √(-1). It is used to express imaginary numbers.
Tags
CCSS.HSN.CN.A.1
3.
FLASHCARD QUESTION
Front
What is the standard form of a complex number?
Back
The standard form of a complex number is a + bi, where a is the real part and b is the imaginary part.
Tags
CCSS.HSN.CN.A.1
4.
FLASHCARD QUESTION
Front
How do you add complex numbers?
Back
To add complex numbers, add the real parts and the imaginary parts separately. For example, (a + bi) + (c + di) = (a+c) + (b+d)i.
Tags
CCSS.HSN.CN.A.2
5.
FLASHCARD QUESTION
Front
How do you subtract complex numbers?
Back
To subtract complex numbers, subtract the real parts and the imaginary parts separately. For example, (a + bi) - (c + di) = (a-c) + (b-d)i.
Tags
CCSS.HSN.CN.A.2
6.
FLASHCARD QUESTION
Front
What is the product of two imaginary numbers?
Back
The product of two imaginary numbers, such as (bi)(di), is given by (bd)(i^2) = -bd, since i^2 = -1.
Tags
CCSS.HSN.CN.A.2
7.
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
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