Complex Numbers Unit Review

Front

What is the argument of the complex number 2-3i measured in degrees?

Back

The argument is between 0 and -90°.

Front

What is the simplified form of the complex number 7/10 + 11/10 i?

Back

The simplified form is 7/10 + 11/10 i.

Front

Back

Front

How do you find the distance between two complex numbers, for example, 9 - 3i and -2 - 5i?

Back

The distance is calculated using the formula: \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, which gives 11.18.

Front

Back

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.

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

What is the modulus of a complex number?

Back

Front

How do you multiply two complex numbers?

Back

To multiply two complex numbers, use the distributive property and combine like terms.