the associative property

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The Associative Property

The Commutative Property

The Distributive Property

2 identical flower

beds

Rectangular

shaped

4.5 ft x 5 ft

How many square feet?!?!

+ +( )

+ +( )

Associative Property

What other operations can be used with the associative property?

Back to the Home Depot dilemma…

(4.5 x 5)

(4.5 x 5) x 2

4.5 x (5 x 2)

4.5 x 10

45 square feet

+ +

+ +

Commutative Property

What other operations can

be used with the commutative

property?

How can we manipulate the problems so we can use subtraction with the

associative and commutative properties?

$38 Sweater Buy 6 Colors

Your total is $287.66.What?!?!

Ariel (a)

Bride (b)

Cat (c)

Dragon (d)

(b + c + d)

a(b + c + d)

ab

ab + ac

ab + ac + ad

a(bc + d + ef)

a(bc + d + ef)abc + ad + aef

Distributive Property

Back to the J. Crew dilemma…

6 sweaters at $386 x 38

6 sweaters at $386 x 38

6(40 – 2)

6 sweaters at $386 x 38

6(40 – 2)240 – 12

6 sweaters at $386 x 38

6(40 – 2)240 – 12

228

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