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Which property is demonstrated by the equation 4 ∙ (9 ∙ 18) = 4 ∙ (18 ∙ 9)?

A) Associative Property of Multiplication
B) Commutative Property of Addition
C) Distributive Property
D) Reflexive Property of Equality

User Nyegaard
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Final answer:

The equation shows the Associative Property of Multiplication, which indicates that the way factors are grouped in a multiplication operation does not change the product.

Step-by-step explanation:

The equation in question, 4 ⋅ (9 ⋅ 18) = 4 ⋅ (18 ⋅ 9), demonstrates the Associative Property of Multiplication. This property states that the grouping (or association) of the factors does not affect the product of a multiplication operation. In this equation, the 9 and 18 are grouped together, but it still gives the same result when the order of 9 and 18 is switched, due to the commutative property, which is shown by the fact that the product of 9 and 18 is the same as the product of 18 and 9.

The Associative Property gives us the flexibility to regroup factors for convenience without altering the result, which is particularly useful when performing mental calculations or simplifying complex expressions in mathematics.

User Pace
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