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# Objective The student will be able to: - PowerPoint PPT Presentation

Objective The student will be able to:. recognize and use the commutative and associative properties and the properties of equality. Commutative Property. Commutative means that the order does not make any difference. a + b = b + aa • b = b • a Examples 4 + 5 = 5 + 4 2 • 3 = 3 • 2

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Objective The student will be able to:

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### ObjectiveThe student will be able to:

recognize and use the commutative and associative properties and the properties of equality.

### Commutative Property

Commutative means that the order does not make any difference.

a + b = b + aa • b = b • a

Examples

4 + 5 = 5 + 4

2 • 3 = 3 • 2

The commutative property does not work for subtraction or division.

### Associative Property

Associative means that the grouping does not make any difference.

(a + b) + c = a + (b + c) (ab) c = a (bc)

Examples

(1 + 2) + 3 = 1 + (2 + 3)

(2 • 3) • 4 = 2 • (3 • 4)

The associative property does not work for subtraction or division.

### Name the property1) 5a + (6 + 2a) = 5a + (2a + 6)

commutative (switching order)

2) 5a + (2a + 6) = (5a + 2a) + 6

associative (switching groups)

3) 2(3 + a) = 6 + 2a

distributive

### Which property would justify rewriting the following expression without parentheses? 3(2x + 5y)

• Associative property of multiplication

• Distributive property

• Commutative property of multiplication

### Which property would justify the following statement? 8x + 4 = 4 + 8x

• Distributive property