The associative property refers to the ability to change the grouping of numbers in addition or multiplication without changing the result. It applies to expressions where numbers are added or multiplied.
Let's analyze each option:
a: \((9 \times 5) \times (8 \times 3)\)
- This expression cannot be rewritten using the associative property because the associative property applies only to the same operation (either all multiplications or all additions). This expression uses two different multiplication groups.
b: \((5 \times 8) + 3\)
- This expression involves addition and multiplication but can't be rewritten using the associative property because it mixes operations.
c: \((9 \times 5) + 8 + 3\)
- This expression involves addition and multiplication but cannot be rewritten using just the associative property since it mixes operations.
d: \((5 + 8) \times 3\)
- This expression can be rewritten using the associative property of addition: \(5 + 8\) can be grouped differently, like \((a + b) \times c\) where \(a\), \(b\), and \(c\) can be rearranged.
From the options, none strictly fits classic associative property transformations involving just multiplication or just addition, but technically option d can illustrate an associative structure since it focuses on manipulating the sum inside parentheses.
The correct answer would be d, but it's important to note that it doesn't fully showcase the associative property as it's meant.