Imaginary and Complex Numbers

Front

What does i² equal?

Back

-1

Front

Multiply: (4 – 3i)(-7 – 2i)

Back

-34 + 13i

Front

Multiply: (2 - 5i)(2 + 5i)

Back

29

Front

Simplify 2√-32

Back

8i√2

Front

Simplify: (10 + 15i) - (48 - 30i)

Back

-38 + 45i

Front

What is the definition of an imaginary number?

Back

A number that can be written as a real number multiplied by the imaginary unit i, where i² = -1.

Front

What is the definition of a complex number?

Back

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 conjugate of a complex number a + bi?

Back

The conjugate is a - bi.

Front

How do you add complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

How do you multiply complex numbers?

Back

Use the distributive property (FOIL) and apply the fact that i² = -1.