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

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Applying the IDENTITY, COMMUTATIVE, and
ASSOCIATIVE properties of multiplication.
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Georgia Performance Standard I can apply the
identity, commutative, and associative properties
of multiplication and verify the results.
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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

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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

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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

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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

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ASSOCIATIVE Property

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

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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?

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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?

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Model

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

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Guided Group Practice

• What is the missing number?
• 54 X 6 X 54
• 324
• 56
• 6
• 1

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Guided Individual Practice

• What is the missing number?
• 24 X 2 2 X
• 48
• 24
• 2
• 0

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Independent Practice

• What is the missing number?
• 36 X 5 5 X
• 1
• 5
• 36
• 180

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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

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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

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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

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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

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Model

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

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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

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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

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Independent Practice

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

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Model

• If 8 X 16 128, then 16 X 8
• A. 2
• B. 16
• C. 24
• D. 128

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Guided Group Practice

• If 4 X 12 48, then 12 X 4
• A. 48
• B. 40
• C. 4
• D. 1

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Guided Individual Practice

• If 5 X 15 75, then 15 X 5
• A. 5
• B. 15
• C. 55
• D. 75

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Independent Practice

• If 2 X 55 110, then 55 X 2
• A. 2
• B. 55
• C. 110
• D. 120

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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

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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

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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

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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

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Model

• What is the missing number?
• 5 X 95 95 X
• A. 5
• B. 90
• C. 95
• D. 475

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Guided Group Practice

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

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Guided Independent Practice

• What is the missing number?
• 74 X 36 36 X
• A. 1
• B. 36
• C. 74
• D. 2,664

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Individual Practice

• What is the missing number?
• 4 X 92 92 X
• A. 4
• B. 92
• C. 368
• D. 2,956

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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

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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

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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

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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

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Lets review

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