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# Distributive properties

Posted on 2014-04-07
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Would you apply the distributive property to (x-3)2a the same as you would 2a(x-3)?  Would the result be the same (2ax-6a)?
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Question by:NevSoFly

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d-glitch earned 500 total points
ID: 39983759
Yes.
But switching the order works because of the transitive property of muliplication.
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Expert Comment

ID: 39983760
Yes.
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LVL 27

Expert Comment

ID: 39983771
Switching the order is commutative, not transitive.
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Author Closing Comment

ID: 39983783
thanks
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Expert Comment

ID: 39983805
(1) Associative: a + (b + c) = (a + b) + c.

(2) Commutative: a + b = b + a, and a * b = b * a.

(3) Distributive: a * (b + c) = a * b + a * c.

(4) Transitive: If a = b and b = c, then a = c.
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LVL 27

Expert Comment

ID: 39984234
yes
try it
2x5 = 10
5x2 = 10
bur not all math operations commute
vector multiplication is one of the operations which does not.
Most arithmatic operations do
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