# Adding Integers

There are two rules that you must follow when adding integers. You must look at the **signs** of **each number** that you are adding to determine which rule to use!

## Rule #1: Adding Integers with the Same Signs

When adding integers with **signs** that are the **same**, **ADD** the numbers and keep the sign.

## Examples

### Negative + Negative = Negative

-3+(-2) = -5 I added the numbers 3+2 to get 5, and then

-8+(-2)=-10 I added the numbers 8+2 to get 10, and then

Ok... pretty easy stuff, so far! Let's see what happens when the signs are different!

## Rule #2: Adding Integers with Signs that are Different

When adding integers with **signs** that are **DIFFERENT**, **SUBTRACT** the numbers and keep the sign of
**the number with the largest absolute value.**

## Examples

**4+(-2) = 2**I SUBTRACTED 4-2 to get 2 and then kept the sign of the 4 (positive)because it has the larger absolute value.**-7+2 = -5**I SUBTRACTED 7-2 to get 5 and then kept the sign of the -7 (negative)because it has the largest absolute value.**8+(-9) = -1**I SUBTRACTED 9-8 to get 1 and then kept the sign of the -9 (negative)because it has the largest absolute value.**-5+11 = 6**I subtracted 11-5 to get 6 and then kept the sign of the 11(positive)because it has the largest absolute value.

Do those two rules for Adding Integers make sense? Keep those rules handy for your next set of review problems! Ok.. your turn!

## Let's Practice Adding Integers

1. -5 +(-8) = ________

2. 9 + (-14) = _________

3. -16 + 5 = ______

4. 10 + (-4) = _____

5. -12 + (-10) = ______

6. 15 + (-9) = ________

7. -12 + 3 = ________

8. 16 + (-16) = _______

9. 14 + (-7) = _______

10. -8 + (-8) = ________

Pretty easy? Let's challenge yourself a little more! Ready?

11. -5 +(-7) + 3 = _______

12. 13 +(-5) +8 = ________

13. -4 + 6 + (-8)= _______

14. 10 + (-15) + 3 = ______

15. -12 + (-7) +(-5) = ________

Ok...., so how did you do?

## Answers to Let's Practice Adding Integers

1.

-13Signs are the same:

5+8 = 13 and keep the negative.

2.

-5Signs are different:

14-9 = 5 and 14 has the larger absolute value so the

answer is -5.

3.

-11Signs are different:

16-5=11 and 16 has the larger absolute value so the

answer is -11.

4.

6Signs are different:

10-4 = 6 and 10 has the larger absolute value so the

answer is positive 6.

5.

-22Signs are the same:

12 + 10 = 22 and then keep the negative sign.

6.

6Signs are different:

15 - 9 = 6 and 15 has the larger absolute value so the

answer is positive.

7.

-9Signs are different:

12-3 = 9 and 12 has the larger absolute value so the

answer is -9.

8.

0Signs are different:

16-16 = 0

9.

7Signs are different:

14-7=7 and 14 has the larger absolute value so the

answer is positive.

10.

-16Signs are the same:

8+8=16 and the answer remains negative.

11.

-9Break the problem into 2 parts:

-5 +(-7) = -12

-12+3 = -9

12.

16Break the problem into 2 parts:

13 +(-5) = 88 +8 = 16

13.

-6Break the problem into 2 parts:

-4 +6 = 22 +(-8) = -6

14.

-2Break the problem into 2 parts:

10 +(-15) = -5-5 +3 = -2

15.

-24Break the problem into 2 parts:

-12 +(-7) = -19-19 +(-5) = -24

Did you get them all correct? If so, Congratulations - and it's time to move on to subtracting integers or multiplying and dividing integers.

If you missed a few, go back and review your answers and the two Adding Integer Rules. Try Again - you can do it!