Real and Imaginary Numbers

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Define Real Numbers.
Back
Real numbers include all the numbers on the number line, including both rational numbers (like integers and fractions) and irrational numbers (like √2 and π).
2.
FLASHCARD QUESTION
Front
Define Imaginary Numbers.
Back
Imaginary numbers are numbers that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as √-1.
3.
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.
4.
FLASHCARD QUESTION
Front
Simplify: 2i(4 - 3i)
Back
6 + 8i
5.
FLASHCARD QUESTION
Front
What is the square root of a negative number?
Back
The square root of a negative number can be expressed in terms of 'i'. For example, √-x = i√x.
6.
FLASHCARD QUESTION
Front
Simplify: √-4
Back
2i
7.
FLASHCARD QUESTION
Front
What is the result of adding two complex numbers?
Back
To add two complex numbers, combine their real parts and their imaginary parts separately.
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