Complex Numbers Operations

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^2 = -1.
2.
FLASHCARD QUESTION
Front
How do you add two complex numbers?
Back
To add two complex numbers, (a + bi) and (c + di), you add the real parts and the imaginary parts separately: (a + c) + (b + d)i.
3.
FLASHCARD QUESTION
Front
How do you subtract two complex numbers?
Back
To subtract two complex numbers, (a + bi) and (c + di), you subtract the real parts and the imaginary parts separately: (a - c) + (b - d)i.
4.
FLASHCARD QUESTION
Front
What is the result of (10 + 8i) - (4 - 5i)?
Back
The result is 6 + 13i.
5.
FLASHCARD QUESTION
Front
What is the result of (-7 + 9i) + (2 - 10i)?
Back
The result is -5 - i.
6.
FLASHCARD QUESTION
Front
What is the result of (18 - 3i) + (-2 - 5i)?
Back
The result is 16 - 8i.
7.
FLASHCARD QUESTION
Front
How do you simplify the expression (1 + 5i) + (1 - 5i)?
Back
The simplified expression is 2.
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