Imaginary Numbers Worksheet
A Grade 10 Math worksheet covering imaginary numbers, complex numbers, and their operations.
Includes
Standards
Topics
Imaginary Numbers: Grade 10 Math
Name:
Date:
Score:
Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. The imaginary unit, denoted by '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 two complex conjugates is always a number.
4. What is the value of i^3?
1
-1
i
-i
5. Simplify the expression: (3 + 2i) + (1 - 4i)
6. Simplify the expression: (2 + 5i) - (4 - 3i)
7. Multiply the complex numbers: (2 + i)(3 - 2i)
8. Write the complex conjugate of 5 - 7i.
9. Divide the complex numbers: (1 + i) / (1 - i)
10. Plot the complex number 3 + 4i on the complex plane below.