applying the identity, commutative, and associative properties of multiplication

Applying the IDENTITY, COMMUTATIVE, and

ASSOCIATIVE properties of multiplication.

Georgia Performance Standard: I can apply the identity,

commutative, and associative properties of multiplication and

verify the results.

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

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

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

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 3 = 2 X 4 X 3 (2 X 4) X 3 2 X (4 X 3) 8 X 3 2 X 12 24 24

ASSOCIATIVE Property

(6 X 7) X 3 = 6 X (7 X 3)

42 X 3 = 6 X 21

126 = 126

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?

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?

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?

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?

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?

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?

Model

What is the missing number?

21 X 9 = X 21

A. 1B. 9

C. 21D. 189

Guided Group Practice

What is the missing number?

54 X 6 = X 54

A. 324B. 56C. 6D. 1

Guided Individual Practice

What is the missing number?

24 X 2 = 2 X

A. 48B. 24C. 2D. 0

Independent Practice

What is the missing number?

36 X 5 = 5 X

A. 1B. 5

C. 36D. 180

Model

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

A. 35

B. 28

C. 7

D. 4

Guided Group Practice

To multiply 6 X 2 X 10, you can multiply 2 X 10 first. What must you multiply by next?

A. 12

B. 10

C. 6

D. 2

Guided Individual Practice

To multiply 5 X 2 X 4, you can multiply 5 X 2 first. What must you multiply by next?

A. 2

B. 4

C. 5

D. 10

Independent Practice

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

A. 2

B. 3

C. 5

D. 10

Model

Which number belongs in the to make the number sentence TRUE?

18 X = 18

A. 0 B. 1 C. 18 D. 36

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

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

Independent Practice

Which number belongs in the to make the number sentence TRUE?

7 X = 49

A. 7 B. 8 C. 9 D. 343

Model

If 8 X 16 = 128, then 16 X 8 =

A. 2

B. 16

C. 24

D. 128

Guided Group Practice

If 4 X 12 = 48, then 12 X 4 =

A. 48

B. 40

C. 4

D. 1

Guided Individual Practice

If 5 X 15 = 75, then 15 X 5 =

A. 5

B. 15

C. 55

D. 75

Independent Practice

If 2 X 55 = 110, then 55 X 2 =

A. 2

B. 55

C. 110

D. 120

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

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

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

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

Model

What is the missing number?

5 X 95 = 95 X

A. 5 B. 90 C. 95 D. 475

Guided Group Practice

What is the missing number?

4 X 56 = 56 X

A. 224 B. 56 C. 4 D. 1

Guided Independent Practice

What is the missing number?

74 X 36 = 36 X

A. 1 B. 36 C. 74 D. 2,664

Individual Practice

What is the missing number?

4 X 92 = 92 X

A. 4 B. 92 C. 368 D. 2,956

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

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

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

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

Lets review

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