Operations with Imaginary Numbers

Front

What is the simplified form of (11 – 7i) – (–3 + 12i)?

Back

14 – 19i

Front

Calculate (5-2i) + (-7+8i).

Back

-2 + 6i

Front

What number do we use to simplify the division problem \( \frac{(-8-4i)}{(-3-7i)} \)?

Back

-3 + 7i

Front

What is the numerical value of i?

Back

\( \sqrt{-1} \)

Front

Calculate (4 + 3i)(4 − 3i).

Back

25

Front

What is the definition of an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit i, where i = \( \sqrt{-1} \).

Front

What is the result of multiplying two imaginary numbers, i and i?

Back

i * i = -1.

Front

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

Back

The conjugate is a - bi.

Front

How do you add two complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

What is the result of (3 + 4i) - (1 + 2i)?

Back

2 + 2i.