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: When adding signs that are the same, ADD and keep the sign.



Examples

Negative + Negative = Negative

-3+(-2) = -5   I added the numbers 3+2 to get 5, and then
kept the negative sign, so my answer is -5.


-8+(-2)=-10   I added the numbers 8+2 to get 10, and then
kept the negative sign, so my answer is -10.





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



Rule #2: When adding 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.  -13   Signs are the same:

5+8 = 13 and keep the negative.


2.  -5    Signs are different:

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


3.  -11  Signs are different:

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


4.  6    Signs are different:

10-4 = 6 and 10 has the larger absolute value so the
answer is positive 6.

is positive 6.


5.  -22  Signs are the same:

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


6.  6  Signs are different:

15 - 9 = 6 and 15 has the larger absolute value so the
answer is positive.


7.  -9  Signs are different:

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


8.  0  Signs are different:

16-16 = 0


9.  7  Signs are different:

14-7=7 and 14 has the larger absolute value so the
answer is positive.


10.  -16  Signs are the same:

8+8=16 and the answer remains negative.


11.  -9   Break the problem into 2 parts:

-5 +(-7) = -12

   -12+3 = -9


12.  16   Break the problem into 2 parts:

13 +(-5) = 8
   8 +8 = 16


13.  -6   Break the problem into 2 parts:

-4 +6 = 2
   2 +(-8) = -6


14.  -2   Break the problem into 2 parts:

10 +(-15) = -5
   -5 +3 = -2


15.  -24   Break 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!




You are now ready to move onto Subtracting Integers.



Unit 2: A Study of Integers

Click on the lesson that you are ready to study.

Lesson 1: Integers and Absolute Value

Lesson 2: Comparing and Ordering Integers

Lesson 3: Adding Integers

Lesson 4: Subtracting Integers

Lesson 5: Multiplying and Dividing Integers



Comments

We would love to hear what you have to say about this page!




Like Us on Facebook


Recommend this on Google


Algebra Class E-course Members

Username:
Password:

Sign Up for Algebra Class E-courses

Click here to renew or retrieve a lost password.

Search This Site

Custom Search

Get Your FREE E-course!

Do You Need to Review Your Basic Algebra Skills?

The Algebraic Expressions Course is the perfect solution for fine tuning those rusty Pre-Algebra skills.

Once you sign in. you'll have instant access to the student workbook and online videos.

It's FREE, so try it today!

sign up

Having Trouble with Your Homework?

algebrator







[ ?]

Subscribe To This Site

XML RSS
Add to Google
Add to My Yahoo!
Add to My MSN
Add to Newsgator
Subscribe with Bloglines


Enjoy This Site?
Then why not use the button below, to add us to your favorite bookmarking service?

| Homepage | Contact Me | Privacy Policy | Disclaimer |Affiliates



Return to top
By Karin Hutchinson Copyright© Algebra-class.com 2009-2013.