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Algerbra - Distributive Property

by Ashlynn
(New York, US)











































which equation illustrates the distributive property for real numbers?

a) (1.3*0.07)*0.63=1.3*(0.07*0.63)

b)1/3+1/2=1/2+1/3

c)-3(5+7)=(-3)(5)+(-3)(7)

Comments for Algerbra - Distributive Property

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Sep 08, 2011
Distributive Property
by: Staff


The question:

by Ashlynn
(New York, US)

which equation illustrates the distributive property for real numbers?

a) (1.3 * 0.07) * 0.63=1.3 * (0.07 * 0.63)

b) 1/3 + ½ = ½ +1/3

c) -3(5 + 7) = (-3)(5) + (-3)(7)


The answer:

Choice c) illustrates the distributive property.

The Distributive Property allows you to simplify an expression containing parentheses to an expression without parentheses.

Choice c)

-3(5 + 7)

=(-3)(5) + (-3)(7)

=-3 * 5 - 3 * 7

There is only one Distributive Property.

The Distributive Property combines addition and multiplication.

There is not a Distributive Property for addition, and a different Distributive Property for multiplication.


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Choice a) illustrates the associative property of multiplication.

Any series of factors can be multiplied in any order without changing the results.


(1.3 * 0.07) * 0.63 = 1.3 * (0.07 * 0.63)

It makes no difference whether you multiply 1.3*0.07, and then multiply the result by 0.63; or whether you multiply 0.07*0.63, and then multiply that result by 1.3. In both cases, the answer will be the same.



Choice b) illustrates the commutative property of addition.

Any series of numbers can be added/subtracted in any order without changing the total. This is true for all real numbers (including: fractions, decimals, and negative numbers).

1/3 + ½ = ½ + 1/3

Whether you add 1/3 + ½ or ½ + 1/3, the total will be the same.



Thanks for writing.

Staff
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