#### How do you add Complex Numbers

### An Example

Calculate $$ (5 + 2i ) + (7 + 12i)$$

Step 1

Group the real part of the complex numbers and the imaginary part of the complex numbers.

$$ \blue{ (5 + 7) }+ \red{ (2i + 12i)}$$

Step 2Combine the like terms and simplify

$$ 12 + 14i$$

**Practice** Problems

##### Problem 1

This problem is very similar to example 1

Combine the like terms and simplify

$$ 7 + 10i$$

##### Problem 2

This problem is very similar to example 1

Combine the like terms and simplify

$$12 + 16i$$

##### Problem 3

This problem is very similar to example 1 with the added twist that we have a negative number in there (-2i).

Combine the like terms and simplify

$$15 + 12i $$

##### Problem 4

This problem is very similar to example 1 with the added twist that we have a negative number in there (-13i).

Combine the like terms and simplify

$$ 18 - 5i$$

##### Problem 5

This problem is very similar to example 1 with the added twist that we have a negative number in there (-13i).

Combine the like terms and simplify

$$ -14 + 2i $$