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Objective The student will be able to:PowerPoint Presentation

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 + a a • 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
- Addition property of zero
- Commutative property of multiplication

Which property would justify the following statement? expression without parentheses? 8x + 4 = 4 + 8x

- Associative property of addition
- Distributive property
- Addition property of zero
- Commutative property of addition

Which property would justify the following statement? expression without parentheses? 8 + (2 + 6) = (8 + 2) + 6

- Associative property of addition
- Distributive property
- Addition property of zero
- Commutative property of addition

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