# Operations with Integers

### Adding, Subtracting, Multiplying, and Dividing Integers

## These RULES are important to do the operations with integers:

- - x - = +
- + x + = +
- - x + = -
- + x - = -

## Adding Integers

If the integers have the same sign, add them together and keep the sign. If the integers have different signs __subtract__ them. The answer takes the sign of the biggest number.

For example: 3 -(-11)

__(they will turn to a positive).__So, 3 + 11 will be 14.

Steps:

**1.** 9-(-5)

**2.** - x - = +

**3.** 9+5= 14

+9+3= 12

## Subtracting Integers

What you need to do for subtracting is change the sign on the integer that is going to be subtracted. So, if in your equation you have a + and - you subtract and if you have a - and + subtract too. At the end subtract.

11+(-7)

The answer will be 4 because + and - make a -, so 11-7= 4

-2-(-6) = -2+6 Why? Because the two negative signs that are close together make a positive. So it will be -2+6. This equals 4 because, you do 6-2 and you take the sign of the biggest number that is 6, and since it´s positive, the answer will be positive too.

Another easy example: 13-5= 8

## Multiplying and Dividing Integers

**integers**or two negative

**integers**is positive. The product of a positive

**integer**and a negative

**integer**is negative.

For example:

-6 x 3= -18

Negative 18 because -6 is negative and the 3 is positive, and negative and positive make a negative. So the answer will be negative: -18.

-9 / -3= 3

The answer is positive 3 because, -9 is negative and -3 is negative too. So two negatives make the answer positive: 3. And then you divide normally.

Example: -5 x -4= 20