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

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Applying the IDENTITY, COMMUTATIVE, and ASSOCIATIVE properties of multiplication. Georgia Performance Standard: I can apply the identity, commutative, and associative ... – PowerPoint PPT presentation

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Title: Applying the IDENTITY, COMMUTATIVE, and ASSOCIATIVE properties of multiplication.


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
    doesnt matter which tow numbers you group or
    multiply first. The product will stay the same.
  • EXAMPLE 2 X 4 X 3 2 X 4 X 3
  • (2 X 4) X 3 2 X (4
    X 3)
  • 8 X 3 2
    X 12
  • 24
    24

7
ASSOCIATIVE Property
  • (6 X 7) X 3 6 X (7 X 3)
  • 42 X 3 6 X 21
  • 126 126

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
Model
  • What is the missing number?
  • 21 X 9 X 21
  • 1
  • 9
  • 21
  • 189

15
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
  • 0

17
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
  • D. 1

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
  • D. 120

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
  • D. 475

35
Guided Group Practice
  • What is the missing number?
  • 4 X 56 56 X
  • A. 224
  • B. 56
  • C. 4
  • D. 1

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
  • B. 92
  • C. 368
  • D. 2,956

38
Model
  • Which is equivalent to the following?
  • 8 X 5 5 X 7
  • a. 8 X 5 5 X 7
  • b. 8 X 7 5 X 5
  • c. 7 X 3 5 7
  • d. 8 5 X 5 7

39
Guided Group Practice
  • Which is equivalent to the following?
  • 14 X 6 8 X 12
  • a. 8 5 5 7
  • b. 14 X 12 6 X 8
  • c. 14 X 6 12 X 8
  • d. 14 6 X 8 12

40
Guided Individual Practice
  • Which is equivalent to the following?
  • 7 X 8 2 X 9
  • a. 7 8 2 9
  • b. 7 X 2 8 X 9
  • c. 7 X 8 2 9
  • d. 8 X 7 2 X 9

41
Independent Practice
  • Which is equivalent to the following?
  • 45 X 5 78 X 3
  • a. 45 X 3 78 X 5
  • b. 7 X 2 8 X 9
  • c. 7 X 8 2 9
  • d. 8 X 7 2 X 9

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