Chapter 2 Test #3 Review

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, defined as the square root of -1.

Front

How do you find the absolute value of a complex number?

Back

The absolute value of a complex number a + bi is calculated using the formula |a + bi| = √(a² + b²).

Front

What is the absolute value of the complex number 2 + 3i?

Back

The absolute value of 2 + 3i is √(2² + 3²) = √(4 + 9) = √13.

Front

What is the absolute value of the complex number -3 + i?

Back

The absolute value of -3 + i is √((-3)² + 1²) = √(9 + 1) = √10.

Front

What does the imaginary unit 'i' represent?

Back

The imaginary unit 'i' represents the square root of -1, which is not a real number.

Front

How can you represent complex numbers graphically?

Back

Complex numbers can be represented graphically on the complex plane, where the x-axis represents the real part and the y-axis represents the imaginary part.

Front

What is the complex number represented by the point (0, -5) on the complex plane?

Back

The complex number represented by the point (0, -5) is -5i.

Front

What is the complex number represented by the point (-2, -3) on the complex plane?

Back

The complex number represented by the point (-2, -3) is -2 - 3i.

Front

What is the complex number represented by the point (-3, 1) on the complex plane?

Back

The complex number represented by the point (-3, 1) is -3 + i.

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate of a complex number a + bi is a - bi.