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# Distributive property

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Distributive Property using the idea of a Distribution Center.

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### Distributive property

1. 1. Distributive PropertyTo remember how to use the distributive property, think ofa Distribution Center for a company such as Wal-Mart.Trucks are loaded with merchandise at the distributioncenter and then they travel to a set of Wal-Mart stores ontheir route.
2. 2. Distributive PropertyThink of “a” as one of the trucks, and “b” and “c” asdifferent Wal-Marts on a specific route (the parenthesisrepresent the area the Wal-Marts are located in).The truck must travel to all the Wal-Marts in its area todeliver merchandise.If the truck does not travel to ALL Wal-Marts in its area, inthe ( )’s, we know that the truck driver is going to get fired.
3. 3. Distributive PropertyTo keep the truck driver from getting fired, we need tomake sure he gets to ever Wal-Mart in his area anddelivers the merchandise.***Remember, when he delivers the merchandise, he is“multiplying” their inventory. Always use multiplicationwhen distributing.
4. 4. Distributive PropertyExample:4( x + 6) = 4x + 4(6) = 4x + 24|__^ ^|______|
5. 5. Distributive PropertyWhen the truck driver proves himself to his boss, his boss will allow him to earnmore money by adding more stores to his route!The truck driver just needs to make sure that he never forgets to go to all thestores!!!! This truck driver was fortunate enough to get another store added tohis route. This allowed him to get an xBox for his children! He was sooooohappy!!!!a(b + c + d) = ab + ac + ad Each time he gets a new store, he just adds them onto the end of his route!a(b + c + d + e) = ab + ac + ad + ae
6. 6. Distributive Property: Examples3 x 6y( 3)(x) ( 3)(6 y ) 3x 18 y3 x 6 y 10( 3)(x) ( 3)(6 y ) ( 3)( 10) 3x 18 y 303 x 6 y 10 12w( 3)(x) ( 3)(6 y ) ( 3)( 10) ( 3)(12w) 3x 18 y 30 36w
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