Complex Numbers

Front

What letter represents an imaginary number?

Back

i

Front

What is the standard form of a complex number?

Back

a + bi, where a and b are real numbers.

Front

What is the real part of the complex number 3 + 4i?

Back

3

Front

What is the imaginary part of the complex number 3 + 4i?

Back

4

Front

How do you add two complex numbers (a + bi) and (c + di)?

Back

(a + c) + (b + d)i

Front

How do you subtract two complex numbers (a + bi) and (c + di)?

Back

(a - c) + (b - d)i

Front

What is the product of (a + bi) and (c + di)?

Back

(ac - bd) + (ad + bc)i

Front

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

Back

a - bi

Front

How do you divide two complex numbers (a + bi) by (c + di)?

Back

Multiply numerator and denominator by the conjugate of the denominator.

Front

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

Back

√(a² + b²)