Complex Numbers Notes Flashcard

Front

What is a complex number?

Back

A complex number is 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 does 'i' represent in complex numbers?

Back

The imaginary unit 'i' represents the square root of -1.

Front

What is the standard form of a complex number?

Back

The standard form of a complex number is a + bi.

Front

How do you add two complex numbers?

Back

To add two complex numbers, add the real parts together and the imaginary parts together.

Front

What is the real part of a complex number a + bi?

Back

The real part of a complex number a + bi is 'a'.

Front

What is the imaginary part of a complex number a + bi?

Back

The imaginary part of a complex number a + bi is 'b'.

Front

Are all imaginary numbers like terms?

Back

True, all imaginary numbers can be combined as like terms.

Front

What is the result of multiplying two complex numbers?

Back

The result of multiplying two complex numbers can be found using the distributive property and combining like terms.

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 subtract two complex numbers?

Back

To subtract two complex numbers, subtract the real parts and the imaginary parts separately.