# High School Math : How to add and subtract integers in pre-algebra

## Example Questions

### Example Question #1 : How To Add And Subtract Integers In Pre Algebra

What is the difference between 8 and -2?

6

-10

10

4

-6

10

Explanation:

Since we want to find the difference between 8 and -2, we want to subtract -2 from 8. Since subtracting is equivalent to adding the same number with the opposite sign, we have the below:

### Example Question #2 : How To Add And Subtract Integers In Pre Algebra

Find the difference.

Explanation:

We are subtracting here, so it is important to remember that subtracting is really just adding the same number with opposite sign. Thus we can think of the problem as the following:

, which we know is equal to .

### Example Question #3 : How To Add And Subtract Integers In Pre Algebra

What is  ?

Explanation:

Recall that subtracting integers is equivalent to adding the inverse. The inverse of a negative number is the positive number with the same magnitude.

Thus, our problem is equivalent to .

### Example Question #4 : How To Add And Subtract Integers In Pre Algebra

Evaluate the following expression:

Explanation:

Recall that subtracting is equivalent to adding the inverse:

The inverse of a negative number is a positive number:

### Example Question #62 : High School Math

What is:

Explanation:

Recall the placement of numbers on the number line.  is  spaces to the left of , and then we add , resulting in movement to the right.

When we add these spaces we end up going  spaces back to  and then  additional spaces to end at

### Example Question #5 : How To Add And Subtract Integers In Pre Algebra

What is  ?

Explanation:

Recall that subtracting a negative number is equivalent to adding the opposite. Thus,

What is