Operations with imaginary numbers practice

Front

What is the definition of an imaginary number?

Back

Front

What does the imaginary unit 'i' equal?

Back

Front

How do you multiply two complex numbers (a + bi)(c + di)?

Back

To multiply two complex numbers, use the distributive property: (a + bi)(c + di) = ac + adi + bci + bdi^2, and remember that i^2 = -1.

Front

What is the result of (2 - i)(3 + i)?

Back

The result is 7 - i.

Front

What is the result of (4 + i)(5 + i)?

Back

The result is 19 + 9i.

Front

Back

Front

What is the solution to the equation 2x^2 - 1 = 17?

Back

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate of a complex number a + bi is a - bi.

Front

How do you add two complex numbers (a + bi) + (c + di)?

Back

To add two complex numbers, simply add the real parts and the imaginary parts: (a + c) + (b + d)i.

Front

How do you subtract two complex numbers (a + bi) - (c + di)?

Back

To subtract two complex numbers, subtract the real parts and the imaginary parts: (a - c) + (b - d)i.