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State the properties represented by the following statement: 46+0=46. a) Identity Property of Addition b) Commutative Property of Addition c) Associative Property of Addition d) Distributive Property of Addition

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Final answer:

The equation 46 + 0 = 46 illustrates the Identity Property of Addition, as adding 0 to any number retains the original value. The Commutative, Associative, and Distributive properties of addition do not apply in this context.

Step-by-step explanation:

The statement 46 + 0 = 46 represents the Identity Property of Addition. This fundamental principle of mathematics holds that when a number is added to zero, the original number is retained unchanged. In this case, adding zero to 46 does not alter the value of 46, affirming the correctness of this property.

In contrast, the Commutative Property of Addition states that the order of two numbers being added together does not affect the resultant value, and the Associative Property of Addition suggests that grouping doesn't affect the sum in an expression of more than two addends. The Distributive Property of Addition doesn't apply here either as it stipulates that multiplication distributes over addition.

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