Complex Number Calculations

Front

Add the complex numbers (-7 + 6i) and (3 + 2i).

Back

-4 + 8i

Front

Subtract: (4 + 2i) - (1 - 3i).

Back

3 + 5i

Front

Subtract: (-3 + 2i) - (6 - 5i).

Back

-9 + 7i

Front

Subtract: (5 + 3i) - (2i).

Back

5 + i

Front

Multiply the complex numbers (-1 + 2i) and (-2 - 3i).

Back

8 - 1i

Front

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

How do you add complex numbers?

Back

To add complex numbers, add the real parts and the imaginary parts separately.

Front

How do you subtract complex numbers?

Back

To subtract complex numbers, subtract the real parts and the imaginary parts separately.

Front

How do you multiply complex numbers?

Back

To multiply complex numbers, use the distributive property and apply the fact that i^2 = -1.