Complex Numbers Flashcard

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Define 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 the square root of -1, which means i² = -1.
3.
FLASHCARD QUESTION
Front
How do you add two complex numbers?
Back
To add two complex numbers, combine their real parts and their imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.
4.
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.
5.
FLASHCARD QUESTION
Front
What is the result of (4 + 5i) + (2 - 3i)?
Back
The result is 6 + 2i.
6.
FLASHCARD QUESTION
Front
What is the result of (9 - 8i) - (6 + 7i)?
Back
The result is -3 - 15i.
7.
FLASHCARD QUESTION
Front
What is the result of (7 - 6i) - (2 + 3i)?
Back
The result is 5 - 9i.
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