1. Why don’t I get these, “Properties of Integers” Associative for Addition Associative for Multiplication Commutative for Addition Commutative for Multiplication Inverse for Addition Inverse for Multiplication Identity for Addition Identity for Multiplication Closure for Addition Closure for Multiplication Distributive for multiplication over Addition

2. Properties of Integers Associative for Addition: grouping families members-just move the parenthesis still same answer 4+(6+9)=4+(6+9) Associative for Multiplication 4*(6*9)=(4*6)*9 grouping families members-just move the parenthesis still same answer

3. Properties of Integers Commutative for Addition backwards and forwards 8 + 5 = 5 + 8 Commutative for Multiplication round trip:retrace your pathway 8 * 5 = 5 * 8

4. Properties of Integers Inverse for Addition Inverse for Multiplication

5. Properties of Integers Multiplicative Identity: For any whole number a, a*1 = 1*a = a. Here 1 is called the multiplicative identity in the set of all whole numbers. Example: 1*11 = 11.

6. Properties of Integers Identity for Addition Example: 7 + 0 = 7 Identity for Multiplication Example: 32 * 1 = 32

7. Properties of Integers Closure for Multiplication For any two whole numbers a and b, their product a*b is also a whole number. Example: 10*9 = 90

8. Properties of Integers Distributive Property of Multiplication Over Addition: For any three whole numbers a, b, and c, a*(b+c) = a*b + a*c. Example: 3*(5+20) = 3*5 + 3*20 = 75

9. Property Quiz 3*(4*5) = (3*4)*5 This is an example of the ________ of whole numbers. ___Commutative Property of Multiplication ___Associative Property of Multiplication ___Closure Property of Multiplication

10. Property Quiz 5*6 = 6*5 ___Name the above property. ___Commutative Property of Multiplication ___Closure Property of Multiplication ___Associative Property of Multiplication

11. Property Quiz 7*5=35 ___ Name the above property. ____Associative Property of Multiplication ____Closure Property of Multiplication ____Commutative Property of Multiplication

12. Property Quiz By multiplying any whole number by ____, we get back the original number. ___2 ___1 ___a

13. Property Quiz Select an example of the Associative Property of Multiplication. ____5*(6*7) = (5*6)*7 = 210 ____10*15 = 15*10 = 150 ____10*5 = 50

14. Property Quiz Which is the Multiplicative Identity in the set of whole numbers? ___a ___2 ___0 ___1

15. Property Quiz 5*6 = 6*5 ___Name the above property. ___Closure Property of Multiplication ___Associative Property of Multiplication ___Commutative Property of Multiplication

16. Property Quiz Select an example of the Commutative Property of Multiplication. ___10*15 = 15*10 = 150 ___10*5 = 50 ___5*(6*7) = (5*6)*7 = 210

17. Property Quiz a*(b*c) = (a*b)*c Name the above property. ___Associative Property of Multiplication ___Commutative Property of Multiplication ___Closure Property of Multiplication

18. Property Quiz Distributive Property for any three whole numbers a, b, and c. ___a*(b+c) = (a*b) + (a*c) ___a*(b*c) = (a*b) + (a*c) ___a*(b*c) = (a*b) * (a*c)

19. Property Quiz Select an example of the Commutative Property of Multiplication. ___5*(6*7) = (5*6)*7 = 210 ___10*15 = 15*10 = 150 ___10*5 = 50

20. Property Quiz For any whole number where a, a*1 = _____=_____? ____ 1*a, a ____ None of these ____ a*1, 1 )

21. Property Quiz 3*(4*5) = (3*4)*5 This is an example of the ________ of whole numbers. ___ Commutative Property of Multiplication ___ Associative Property of Multiplication ___ Closure Property of Multiplication

22. Property Quiz 5*3=15 Name the above property. ___ Associative Property of Multiplication ___ Closure Property of Multiplication ___ Commutative Property of Multiplication

23. Property Quiz Select an example of the Associative Property of Multiplication. ____10*5 = 50 ____10*15 = 15*10 = 150 ____5*(6*7) = (5*6)*7 = 210

24. Property Quiz Distributive Property for any three whole numbers a, b, and c. ____a*(b*c) = (a*b) + (a*c) ____a*(b*c) = (a*b) * (a*c) ____a*(b+c) = (a*b) + (a*c