Adding & Subtracting Complex Numbers

Front

What is 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

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1. It is used to extend the real number system to include solutions to equations that do not have real solutions.

Front

How do you add complex numbers?

Back

To add complex numbers, combine the real parts and the imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.

Front

How do you subtract complex numbers?

Back

To subtract complex numbers, subtract the real parts and the imaginary parts separately. For example, (a + bi) - (c + di) = (a - c) + (b - d)i.

Front

Calculate: -12i + 7i

Back

-5i

Front

Calculate: (4 − 7i) − (-3 + 6i)

Back

7 − 13i

Front

Simplify: (4 + 7i) - (3 + 2i)

Back

1 + 5i

Front

Find the sum: (5-2i) + (-7+8i)

Back

-2 + 6i

Front

What is the real part of a complex number?

Back

The real part of a complex number a + bi is the value 'a', which is a real number.

Front

What is the imaginary part of a complex number?

Back

The imaginary part of a complex number a + bi is the value 'b', which is a real number multiplied by the imaginary unit 'i'.