The Associative Property
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The Associative Property The Commutative Property The Distributive
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?!?!
A rie l
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 $38 6 x 38
6 sweaters at $38 6 x 38 6(40 – 2)
6 sweaters at $38 6 x 38 6(40 – 2) 240 – 12
6 sweaters at $38 6 x 38 6(40 – 2) 240 – 12 228
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?!?!
A rie l
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 $38 6 x 38
6 sweaters at $38 6 x 38 6(40 – 2)
6 sweaters at $38 6 x 38 6(40 – 2) 240 – 12
6 sweaters at $38 6 x 38 6(40 – 2) 240 – 12 228
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