The Associative Property states that the way in which numbers are grouped in an operation does not change their sum or product. This property applies to both addition and multiplication.
Looking at the expressions provided:
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(9⋅5)⋅(8⋅3): This expression involves multiplication and could be rewritten using the Associative Property since it could be regrouped. For example, you could rewrite it as 9⋅(5⋅(8⋅3)) or any other valid grouping of the factors.
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(9⋅5)+8+3: This expression involves addition and could also be rewritten using the Associative Property. However, since it includes addition in a linear format, the association is not clearly restructured as it would be in multiplication.
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(5⋅8)+3: This expression involves both multiplication and addition, but the associative property is not applicable here directly because there is no regrouping necessary of terms.
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(5+8)⋅3: This expression involves the grouping of numbers for addition, which suggests the use of the Associative Property; however, its usage is limited to the addition alone, making it less applicable in this context when considering multiplication and its associative nature.
Based on the definitions and the correct understanding of the Associative Property, the expression that could be rewritten using the Associative Property in a true manner is:
(9⋅5)⋅(8⋅3)
and potentially (9⋅5) + 8 + 3, though in respect to mathematical operations, the first is the most representative of the property for multiplication.