Imaginary and Complex Numbers

Front

What is an imaginary number?

Back

Front

What is the standard form of a complex number?

Back

Front

How do you add complex numbers?

Back

To add complex numbers, combine the real parts and the imaginary parts separately. For example, (2 + 3i) + (4 + 5i) = (2 + 4) + (3 + 5)i = 6 + 8i.

Front

What is the result of (2 - 4i) + (5 + 7i)?

Back

The result is 7 + 3i.

Front

How do you multiply complex numbers?

Back

To multiply complex numbers, use the distributive property (FOIL). For example, (a + bi)(c + di) = ac + adi + bci + bdi^2, and since i^2 = -1, combine like terms.

Front

What is the result of (3i)(-2 + 4i)?

Back

The result is -12 - 6i.

Front

What is the conjugate of a complex number?

Back

Front

Why do we get imaginary numbers?

Back

Front

What is the modulus of a complex number?

Back

Front

How do you graph a complex number?

Back