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Which property is represented by the expression (4 ∙ 2) ∙ y + y?

a) Associative Property
b) Addition
c) Distributive Property
d) Multiplication

User Brett
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1 Answer

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Final answer:

The expression represents the Distributive Property, where the multiplication outside the parentheses is distributed to the terms inside, then added together.

Step-by-step explanation:

The expression (4 · 2) · y + y represents the Distributive Property of multiplication over addition. This property allows us to distribute or 'break down' a multiplication over an addition within parentheses. In this case, the number outside the parentheses (subsequently 4 · 2, simplified to 8) is to be distributed to the terms inside, which leads to individually multiplying 8 by y and then adding y to the product. Restated, the expression can be seen as 8y + y, which simplifies to 9y.

User Saqib Saud
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