complex numbers 1st sem final review

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, defined as the square root of -1.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as i = √-1, and it is used to represent the square root of negative numbers.

Front

What is the simplified form of (-9 + 5i) + (3 - 2i)?

Back

-6 + 3i

Front

What is the simplified form of (11 - 7i) - (-3 + 12i)?

Back

14 - 19i

Front

What is the simplified form of (-6i)(3i)?

Back

18

Front

What is the simplified form of (-3 + 2i)(1 - 4i)?

Back

5 + 14i

Front

What does i^2 equal?

Back

-1

Front

How do you add complex numbers?

Back

To add complex numbers, combine the real parts and the imaginary parts separately.

Front

How do you subtract complex numbers?

Back

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

Front

How do you multiply complex numbers?

Back

To multiply complex numbers, use the distributive property (FOIL) and simplify using i^2 = -1.