Which property allows you to regroup numbers when adding or multiplying?

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The property that allows you to regroup numbers when adding or multiplying is the Associative Property. This property enables you to change the grouping of the numbers without affecting the result. For addition, it can be expressed as (a + b) + c = a + (b + c), meaning that regardless of how the numbers are grouped with parentheses, the sum will remain the same. Similarly, for multiplication, (a * b) * c = a * (b * c) shows that changing the grouping of factors does not change the product.

The other properties listed have different functions: the Commutative Property deals with changing the order of numbers (for example, a + b = b + a for addition), the Inverse Property involves operations that return the original number to a starting point (like adding a number and its negative to get zero), and the Distributive Property relates to multiplying a single term by a sum (a(b + c) = ab + ac), rather than regrouping for addition or multiplication.

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