1. Applying the IDENTITY, COMMUTATIVE, and ASSOCIATIVE properties of multiplication.

2. Georgia Performance Standard: I can apply the identity, commutative, and associative properties of multiplication and verify the results.

3. IDENTITY Property of Multiplication
When you multiply a number by 1, the product is that number.
EXAMPLES: 1 X 6 = 6
1 X 8 = 8
1 X 69 = 69
1 X 547 = 547

4. COMMUTATIVE Property of Multiplication
You can multiply two numbers in any order. The product stays the same.
EXAMPLE: 6 X 7 = 42
7 X 6 = 42
7 X 6 = 6 X 7

5. Commutative Property of Multiplication
3 X 87 = 261
87 X 3 = 261
If 3 X 87 = 261, then 87 X 3 = 261
3 X 87 = 87 X 3

6. ASSOCIATIVE Property of Multiplication
When you multiply three or more numbers, it doesn’t matter which tow numbers you group or multiply first. The product will stay the same.
EXAMPLE: 2 X 4 X = X 4 X 3
(2 X 4) X X (4 X 3)
8 X X 12

7. ASSOCIATIVE Property (6 X 7) X 3 = 6 X (7 X 3) 42 X 3 = 6 X 21=

8. Solve using the identity, commutative, or associative property of multiplication.
7 X 1 = ?
What property of multiplication did you use to help you solve the problem?

9. Solve using the identity, commutative, or associative property of multiplication.
87 X 1 = ?
What property of multiplication did you use to help you solve the problem?

10. Solve using the identity, commutative, or associative property of multiplication.
1 X 258 = ?
What property of multiplication did you use to help you solve the problem?

11. Solve using the identity, commutative, or associative property of multiplication.
(3 X 4) X 6 = 3 X (4 X )
What property of multiplication did you use to help you solve the problem?

12. Solve using the identity, commutative, or associative property of multiplication.
If 5 X 4 = 20, then 4 X 5 =
What property of multiplication did you use to help you solve the problem?

13. Solve using the identity, commutative, or associative property of multiplication.
(63 X 2) X 12 = 63 X ( X 12)
What property of multiplication did you use to help you solve the problem?

14. What is the missing number?
Model
What is the missing number?
21 X 9 = X 21 1 9 21
189

15. What is the missing number?
Guided Group Practice
What is the missing number?
54 X 6 = X 54
324 56 6 1

16. Guided Individual Practice
What is the missing number?
24 X 2 = 2 X 48 24 2

17. What is the missing number?
Independent Practice
What is the missing number?
36 X 5 = 5 X 1 5 36
180

18. Model
To multiply 7 X 4 X 5, you can multiply 4 X 5 first. What must you multiply by next? 35 28 7 4

19. Guided Group Practice
To multiply 6 X 2 X 10, you can multiply 2 X 10 first. What must you multiply by next? 12 10 6 2

20. Guided Individual Practice
To multiply 5 X 2 X 4, you can multiply 5 X 2 first. What must you multiply by next? 2 4 5 10

21. Independent Practice
To multiply 3 X 5 X 2, you can multiply 5 X 2 first. What must you multiply by next? 2 3 5 10

22. Model Which number belongs in the to make the number sentence TRUE?
18 X = 18
A. 0
B. 1
C. 18
D. 36

23. Guided Group Practice
Which number belongs in the to make the number sentence TRUE?
8 X = 24
A. 2
B. 3
C. 162
D. 282

24. Guided Individual Practice
Which number belongs in the to make the number sentence TRUE?
4 X = 36
A. 4
B. 8
C. 9
D. 144

25. Independent Practice
Which number belongs in the to make the number sentence TRUE?
7 X = 49
A. 7
B. 8
C. 9
D. 343

26. Model
If 8 X 16 = 128, then 16 X 8 =
A. 2
B. 16
C. 24
D. 128

27. Guided Group Practice If 4 X 12 = 48, then 12 X 4 = A. 48 B. 40 C. 4

28. Guided Individual Practice
If 5 X 15 = 75, then 15 X 5 =
A. 5
B. 15
C. 55
D. 75

29. Independent Practice If 2 X 55 = 110, then 55 X 2 = A. 2 B. 55 C. 110

30. Model
Which of the following does NOT have the same product as 2 X 4 X 7?
A. (2 X 4) X 2
B. 2 X (4 X 7)
C. (2 X 4) X 7
D. 4 X 2 X 7

31. Guided Group Practice
Which of the following does NOT have the same product as 4 X 8 X 9?
A. (4 X 8) X 9
B. 4 X (8 X 9)
C. (4 X 4) X 9
D. 4 X 8 X 9

32. Guided Individual Practice
Which of the following does NOT have the same product as 2 X 5 X 9?
A. (2 X 5) X 9
B. 2 X (2 X 5)
C. (5 X 2) X 9
D. 9 X 5 X 2

33. Independent Practice
Which of the following does NOT have the same product as 6 X 2 X 7?
A. (6 X 2) X 7
B. 6 X (2 X 7)
C. (6 X 7) X 2
D. 6 X 7 X 7

34. Model What is the missing number? 5 X 95 = 95 X A. 5 B. 90 C. 95

35. Guided Group Practice What is the missing number? 4 X 56 = 56 X A. 224

36. Guided Independent Practice
What is the missing number?
74 X 36 = 36 X
A. 1
B. 36
C. 74
D. 2,664

37. Individual Practice What is the missing number? 4 X 92 = 92 X A. 4

38. Model Which is equivalent to the following? 8 X 5 + 5 X 7
a. 8 X X 7
b. 8 X X 5
c. 7 X
d X 5 + 7

39. Guided Group Practice Which is equivalent to the following?
14 X X 12 a
b. 14 X X 8
c. 14 X X 8
d X

40. Guided Individual Practice
Which is equivalent to the following?
7 X X 9 a
b. 7 X X 9
c. 7 X
d. 8 X X 9

41. Independent Practice Which is equivalent to the following?
45 X X 3
a. 45 X X 5
b. 7 X X 9
c. 7 X
d. 8 X X 9

42. Lets review
How can I apply the identity, commutative, and associative properties of multiplication and verify the results.