Which property is represented by the equation \( 6(7+2.25)=42+13.5 \) a. Distributive Property b. Commutative Property c. Associative Property d. Identity Property
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The equation \( 6(7+2.25)=42+13.5 \) exemplifies how to simplify an expression using the Distributive Property, showcasing that you can distribute the multiplication of \( 6 \) across the sum of \( 7 \) and \( 2.25 \) to arrive at equivalent expressions on both sides of the equation. In real-world applications, the Distributive Property can be incredibly useful in situations such as calculating total costs when you have several items with varying prices. For instance, if you buy multiple packs of candy that each contain different quantities, using this property helps you efficiently compute the total price by breaking it into smaller, manageable calculations.
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