1.10 - Powers of i and Add, Subtract, Multiply Complex Numbers

Front

What is the result of adding the complex numbers (1 + 6i) and (5 + 7i)?

Back

The result is 6 + 13i.

Front

Back

The value is -1.

Front

What is the result of (5 - 2i) + (-7 + 8i)?

Back

The result is -2 + 6i.

Front

Back

Another way to express it is i.

Front

Back

The value is i.

Front

What is the definition of 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 is the imaginary unit 'i'?

Back

Front

How do you add two complex numbers?

Back

To add two complex numbers, add their real parts and their imaginary parts separately.

Front

Back

The result is -1.

Front

What is the product of (3 + 4i) and (1 - 2i)?

Back

The product is 11 + 2i.