Complex Numbers Notes Flashcard

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•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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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.
2.
FLASHCARD QUESTION
Front
What is the imaginary unit 'i'?
Back
The imaginary unit 'i' is defined as i = √(-1). It is used to represent the square root of negative numbers.
3.
FLASHCARD QUESTION
Front
How do you add 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.
4.
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.
5.
FLASHCARD QUESTION
Front
How do you subtract 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.
6.
FLASHCARD QUESTION
Front
What is the product of two complex numbers (a + bi)(c + di)?
Back
The product is given by (ac - bd) + (ad + bc)i.
7.
FLASHCARD QUESTION
Front
What is the conjugate of a complex number a + bi?
Back
The conjugate of a complex number a + bi is a - bi.
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