Adding & Subtracting Complex Numbers

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Define complex numbers.
Back
Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where a is the real part, b is the imaginary part, and i is the imaginary unit (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. It is used to express complex numbers.
3.
FLASHCARD QUESTION
Front
How do you add complex numbers?
Back
To add 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 complex numbers?
Back
To subtract 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
Simplify (3 + 2i) + (4 - 5i).
Back
7 - 3i.
6.
FLASHCARD QUESTION
Front
Simplify (6 - 3i) - (2 + 4i).
Back
4 - 7i.
7.
FLASHCARD QUESTION
Front
What is the result of (1 + 2i) + (3 + 4i)?
Back
4 + 6i.
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