There are two rules for multiplying and dividing integers: 1) If the integers have the same sign, positive or negative, the answer will be positive. 2) If the integers have different signs, one positive and one negative, the answer will be negative. A song is provided to help remember the rules, and examples are given to practice applying the rules.

1. MULTIPLYING AND DIVIDING INTEGERS

2. RULES When multiplying and dividing integers there are two rules: When multiplying or dividing integers that have the SAME sign, the answer is POSITIVE . Positive x positive = positive Negative x negative = positive +7 x +12 = +84 -6 x –5 = +30

3. RULES CONTINUED… Rule 2: When multiplying or dividing integers whose signs are DIFFERENT , the answer will always be NEGATIVE . Positive x negative = negative Negative x positive = negative +8 x –4 = -32 -5 x +7 = -35

4. LET’S SING A SONG! Multiplying Integers Song (sing to “ Dead Bones ” tune) Verse 1 A negative times a negative is a, (um) positive A negative times a positive is a, (um) negative A negative times a negative is a, (um) positive These are the rules for signs. Verse 2 If you have the same signs, you get a positive, But if they ’ re different, you get a negative, If you have the same signs, you get a positive, Yes, these are the rules for signs.

5. LET’S PRACTICE! What sign would the answer have in front of the integer??? -5 x -7 = ???

6. POSITIVE!!!

7. HOW ABOUT… -6 x 9 = ??? What sign will be in front of the answer??

8. NEGATIVE!!!

9. TRY THIS ONE! What sign will be in front of the answer??? -81 ÷ +9 = ???

10. NEGATIVE!!!

11. LET’S SOLVE SOME PROBLEMS! -8 x –9 =

12. +72

13. +4 x +12 =

14. +48

15. -45 ÷ +5 =

16. -9

17. -63 ÷ +7 =

18. -9

19. -8 x –11 =

20. +88

21. REMEMBER… When multiplying and dividing integers: Same signs = a positive Different signs = a negative