What are some examples of complex numbers?

Can you give me some examples of complex numbers?

Sure! A complex number is in the form a + bi, where a and b are real numbers. For example, 3 + 4i and -2 - 5i are complex numbers.

What do the 'a' and 'b' represent in those examples?

In the complex number a + bi, 'a' is the real part and 'b' is the imaginary part. So in 3 + 4i, 3 is the real part and 4 is the imaginary part.

Can you explain how to add two complex numbers?

Absolutely! To add two complex numbers, you simply add their real parts and their imaginary parts separately. For example, (3 + 4i) + (1 + 2i) = (3 + 1) + (4 + 2)i = 4 + 6i.

What about multiplying complex numbers?

When multiplying complex numbers, you use the distributive property. For example, (3 + 4i) * (1 + 2i) = 31 + 32i + 4i1 + 4i2i = 3 + 6i + 4i - 8 = -5 + 10i.