Complex Numbers

Front

What letter represents an imaginary number?

Back

i

Front

Simplify: -5i + 10i

Back

5i

Front

Simplify: (5-2i) + (-7+8i)

Back

-2 + 6i

Front

True or False: (-5 + 10i)(-5 - 10i) = 125

Back

True

Front

Simplify: 3i - (4 + 7i)

Back

-4 - 4i

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.

Front

What is the imaginary unit 'i'?

Back

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

Front

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

Back

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

Front

How do you multiply two complex numbers?

Back

To multiply two complex numbers, use the distributive property and combine like terms, remembering that i^2 = -1.

Front

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

Back

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