1. copyright©amberpasillas2010

2. Integer Addition Rules If the signs are the SAME Add the numbers. The sign stays the same. 4 + 3 = -4 + -3 = + + + ++ + + 7 _ _ _ __ _ _ -7

3. copyright©amberpasillas2010 Integer Addition Rules If the signs are DIFFERENT Subtract the numbers. The “larger number” determines the sign of the answer. -9 + 5 = 9 - 5 = 4 Subtract the numbers -4 _ _ _ _ _ + + + + + _ _ Answer -4 because you started with more negatives

4. copyright©amberpasillas2010 3 - 2 1) Put in 3 2) Take away 2 3) You are left with 1 = 1 + ++ Subtract Integers

5. copyright©amberpasillas2010 Subtract Integers 3 - -2 1) Put in 3 2) You can’t take away –2 so add 2 zeros 3) Take away -2 4) You are left with +5 = 5 + + + - +

6. copyright©amberpasillas2010 Subtract Integers -3 - -2 1) Put in -3 2) Take away -2 3) You are left with = -1 _ _

7. copyright©amberpasillas2010 Subtract Integers -3 - 2 1) Put in -3 2) You can’t take away 2 so add 2 zeros 3) Take away +2 4) You are left with -5 = -5 _ _ _ + + _

8. copyright©amberpasillas2010 Subtract Integers Keep the first number and add the opposite. 5 – 6 Is the same as = -1 SUBTRACT = PLUS CHANGE!

9. copyright©amberpasillas2010 Subtract Integers Keep the first number and add the opposite. SUBTRACT = PLUS CHANGE! 4 – ( – 2)Is the same as4 – (– 2) = 6

10. copyright©amberpasillas2010 Subtract Integers Keep the first number and add the opposite. SUBTRACT = PLUS CHANGE! -3 – 1 Is the same as -3 – ( 1) = -4

11. copyright©amberpasillas2010 Multiply Integers 2(3) = Add 2 groups of positive 3. + + + = 6 2(-3) = Add 2 groups of negative 3. _ _ _ = -6

12. copyright©amberpasillas2010 Multiply Integers -2(3) = Take away 2 groups of positive 3. + + + _ _ _ -2(-3) = Take away 2 groups of negative 3. + + + _ _ _ = -6 = 6

13. copyright©amberpasillas2010 Divide Integers When determining the sign, the rules of multiplying integers are the same for dividing integers. If the signs are the same, the answer is positive. - 64  - 8 = 8

14. copyright©amberpasillas2010 Divide Integers When determining the sign, the rules of multiplying integers are the same for dividing integers. If the signs are different, the answer is negative. - 8  4 = -2

15. copyright©amberpasillas2010 Multiply & Divide Integers When good things, happen to good people, that’s good! + + = + When bad things, happen to bad people, that’s good! – – = + When good things, happen to bad people, that’s bad! + – = – When bad things, happen to good people, that’s bad! – + = –

16. copyright©amberpasillas2010 Aren’t integers interesting? Take out your Study Guide!

17. copyright©amberpasillas2010 #16 1) -3 - - 10 = 2) +6 - - 9 = 3) -4 - -7 = 4) 6 - 8 = 5) -3 - - 12 = 6) -7 - 12 = 7) 5 - -18 = 7 15 3 -2 9 -19 23 Keep the first integer and add the opposite ! TRY THESE!

18. copyright©amberpasillas2010 -3 + 5 =-3 - 5 = +3 + 5 = +3 - 5 = +2 -8 +8 -2 -15 + 6 = -15 - 6 = +15 + 6 = +15 - 6 = -9 -21 +21 +9 # 17 -5 +4 -9