Imaginary and Complex Numbers Flashcard

Front

What is the value of i^2?

Back

-1

Front

What is the result of -4i + 7i?

Back

3i

Front

Calculate the product: (1 - 2i)(6 + 5i).

Back

16 - 7i

Front

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

Back

-6

Front

Calculate the product: (4 + 3i)(4 - 3i).

Back

25

Front

Define imaginary numbers.

Back

Numbers that can be written as a real number multiplied by the imaginary unit i, where i = √(-1).

Front

What is a complex number?

Back

A number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

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

Back

The conjugate is a - bi.

Front

How do you add complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

How do you multiply complex numbers?

Back

Use the distributive property and apply the fact that i^2 = -1.