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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 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

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

=

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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?

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**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?

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**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?

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**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?

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**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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**What is the missing number?**

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

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**What is the missing number?**

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

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**What is the missing number?**

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**

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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**

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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**

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

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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**

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**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

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**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

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**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

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**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

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

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Review 1-1 – 1-6. Give expression with numbers substituted then evaluate: a = ⅔b = -3c =5 1.ab – 8c 2. a 2 - bc (⅔)(-3) – 8(5) = -42 (⅔) 2 – (-3)(5) =

Review 1-1 – 1-6. Give expression with numbers substituted then evaluate: a = ⅔b = -3c =5 1.ab – 8c 2. a 2 - bc (⅔)(-3) – 8(5) = -42 (⅔) 2 – (-3)(5) =

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