Podcast
Questions and Answers
-\frac{2}{3 - i} \left(\frac{5}{i}\right) = ______
-\frac{2}{3 - i} \left(\frac{5}{i}\right) = ______
1 - \frac{10}{3}
\left(\frac{1}{2} - 3i\right) - \left(2 - \frac{4}{3} i\right) = ______
\left(\frac{1}{2} - 3i\right) - \left(2 - \frac{4}{3} i\right) = ______
-\frac{3}{2} - \frac{5}{3} i
\frac{2 - 3i}{-3 + 2i} = ______
\frac{2 - 3i}{-3 + 2i} = ______
-\frac{12}{13} - \frac{1}{13} i
\left(-\frac{1}{2} + i\right) \left(\frac{2}{i}\right) = ______
\left(-\frac{1}{2} + i\right) \left(\frac{2}{i}\right) = ______
5 \left(3 - 2i\right) \cdot \frac{1}{i - 2} = ______
5 \left(3 - 2i\right) \cdot \frac{1}{i - 2} = ______
Flashcards
Complex Number Simplification
Complex Number Simplification
Converting complex numbers to the standard form a ± bi, where a and b are real numbers, and i is the imaginary unit (i² = -1).
Subtracting Complex Numbers
Subtracting Complex Numbers
Subtract the real parts and the imaginary parts separately to get the difference of two complex numbers.
Dividing Complex Numbers
Dividing Complex Numbers
To divide two complex numbers, multiply the numerator and denominator by the complex conjugate of the denominator.
Multiplying Complex Numbers
Multiplying Complex Numbers
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Complex Number Multiplication by a Scalar
Complex Number Multiplication by a Scalar
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Study Notes
Practice Questions
- Simplify the following expressions involving complex numbers:
- ( -2 / (3 - i) ) * ( 5 / i ) =
- ( (1/2) - 3i ) - ( 3 - (2/3)i ) =
- ( 2 - 3i ) / ( -3 + 2i ) =
- √(-1/2) - (2/3)i =
- ( i - 1 / i2 ) * ( i + 1 ) =
- 3i3 ( 1 - 2i ) - 3i =
- ( -1/2 + i ) * ( 2 / i ) =
- 5 ( 3 - 2i ) * ( -1/2 + i ) =
- ( 1 - 3i ) * ( 1 + 3i ) / i =
- ( 2 - 4i )2 / 2 =
Studying That Suits You
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Description
Test your skills in simplifying complex number expressions with this quiz. Each question challenges you to perform various operations involving addition, multiplication, and division of complex numbers. Perfect for reinforcing your understanding of complex number calculations.
