operations (+,-)on complex numbers

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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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 i = √(-1).
2.
FLASHCARD QUESTION
Front
What is the imaginary unit 'i'?
Back
The imaginary unit 'i' is defined as the square root of -1, i.e., i = √(-1). It is used to extend the real number system to complex numbers.
3.
FLASHCARD QUESTION
Front
What is the result of i^2?
Back
i^2 = -1.
4.
FLASHCARD QUESTION
Front
What is the result of i^3?
Back
i^3 = i^2 * i = -1 * i = -i.
5.
FLASHCARD QUESTION
Front
What is the result of i^4?
Back
i^4 = (i^2)^2 = (-1)^2 = 1.
6.
FLASHCARD QUESTION
Front
How do you add complex numbers?
Back
To add complex numbers, combine the real parts and the imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.
7.
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.
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