Eureka Pre -Cal Module 1 Topics A & B 24-25

Front

What is the modulus of a complex number z = 1 + 3i?

Back

Front

What transformation occurs when multiplying a complex number by (1 + i)?

Back

Multiplying by (1 + i) results in a 45° rotation in the complex plane.

Front

Convert the complex number -8√3 - 8i to polar form.

Back

Front

What is the conjugate of the complex number (3 - 4i)?

Back

The conjugate is (3 + 4i).

Front

What is the value of i^52?

Back

The value is 1.

Front

Define the modulus of a complex number.

Back

Front

What is the polar form of a complex number?

Back

Front

How do you find the argument of a complex number?

Back

Front

What is the effect of multiplying a complex number by -1?

Back

Multiplying by -1 reflects the complex number across the origin in the complex plane.

Front

What is the significance of the conjugate in complex numbers?

Back

The conjugate is used to simplify division of complex numbers and to find the modulus.