Imaginary Numbers Worksheet
Explore imaginary numbers, complex numbers, and their operations with this Grade 11 math worksheet.
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Imaginary Numbers: Grade 11
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. The imaginary unit 'i' is defined as the square root of .
2. A complex number is typically written in the form a + bi, where 'a' is the part and 'b' is the imaginary part.
3. The product of i and -i is .
1. Which of the following is equivalent to i^3?
1
-1
i
-i
2. What is the conjugate of the complex number 3 + 4i?
-3 + 4i
3 - 4i
4 + 3i
-3 - 4i
1. Simplify the following expression: (2 + 3i) + (4 - i)
2. Simplify the following expression: (5 - 2i) - (1 + 6i)
3. Simplify the following expression: (3i)( -4i)
1. The square of any imaginary number is always a negative real number.
True
False
2. All real numbers are also complex numbers.
True
False
1. Find the value of x and y that satisfy the equation: (x + yi) + (3 - 2i) = 7 + 5i
2. Multiply the complex numbers: (2 + i)(3 - 2i)
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