FLASHCARD REVIEW - Operations with Complex Numbers

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•
Mathematics
•
11th 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 i² = -1.
2.
FLASHCARD QUESTION
Front
What is the imaginary unit 'i'?
Back
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
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 (7 + 2i) - (-12 - 4i)?
Back
The result is 19 + 6i.
6.
FLASHCARD QUESTION
Front
How do you multiply two complex numbers?
Back
To multiply two complex numbers, use the distributive property (FOIL). For example, (a + bi)(c + di) = ac + adi + bci + bdi² = (ac - bd) + (ad + bc)i.
7.
FLASHCARD QUESTION
Front
What is the result of (5 - i)²?
Back
The result is 24 - 10i.
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