Operations with Complex Numbers Review

Front

What is the conjugate of 3 - 2i?

Back

3 + 2i

Front

What is the conjugate of 5 + 7i?

Back

5 - 7i

Front

What is the complex conjugate of 4 - 3i?

Back

4 + 3i

Front

What is the standard form for a complex number?

Back

a + bi

Front

Define 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

The imaginary unit 'i' is defined as the square root of -1.

Front

How do you add two complex numbers?

Back

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

Front

How do you subtract two complex numbers?

Back

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

Front

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

Back

(2 + 3i)(4 - i) = 8 + 11i + 3 = 11 + 11i.

Front

What is the modulus of a complex number?

Back

The modulus of a complex number a + bi is given by √(a² + b²).