The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their result. This means that you can regroup numbers in an expression without changing its value.
Looking at the expressions you provided, the Associative Property can apply to multiplication and addition.
Let's evaluate each expression:
-
0(5 + 8) • 3: This involves multiplication (but also a zero factor), so it could be rewritten in terms of grouping multiplicands, but it's not an associative property application directly because of the zero.
-
(9•5) • (8-3): This is a multiplication expression where you could potentially regroup the multiplication.
-
9•5) + 8 + 3: This is an addition expression and could also involve regrouping.
-
(5 • 8) + 3: This includes a multiplication and an addition, but again this isn't just a straightforward application of associative property.
The expressions that involve clear cases of the Associative Property being applicable are the second and third ones.
Therefore, (9•5) + 8 + 3 and (9•5) • (8-3) could be rewritten using the Associative Property.
8 answers