OTCQ 1-6

Evaluate the expression:

5+ 3(23 + 5(-1)) =

Aim 1-6 How do we define the commutative and associative

properties?NY AN 1

Homework read 1-6 and do problems 52- 60 on page 36

ObjectiveThe student will be able to:

recognize and use the commutative and associative properties and the properties of equality.NY Performance Indicator AN 1

Commutative PropertyCommutative property says that order does not make

any difference when only adding/multiplying.a + b = b + a a • b = b • a

Examples4 + 5 = 5 + 42 • 3 = 3 • 2

Commutative property does not work for subtraction or division!

Associative PropertyAssociative property says that grouping does not make any difference when only adding/multiplying .

(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 property

1) 5a + (6 + 2a) = 5a + (2a + 6)commutative (switching order)2) 5a + (2a + 6) = (5a + 2a) + 6associative (switching groups)3) 2(3 + a) = 6 + 2a

distributive

Which property would justify rewriting the following expression without

parentheses? 3(2x + 5y)1. Associative property

of multiplication2. Distributive property3. Addition property of

zero4. Commutative property

of multiplication

Which property would justify the following statement?

8x + 4 = 4 + 8x1. Associative property of

addition2. Distributive property3. Addition property of

zero4. Commutative property

of addition

Which property would justify the following statement?

8 + (2 + 6) = (8 + 2) + 6 1. Associative property of

addition2. Distributive property3. Addition property of zero4. Commutative property of

addition

Regents Questions

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