Question

Which of the following expressions could you rewrite using the Associative Property?

A. (9⋅5)⋅(8⋅3)
B. (5+8)⋅3
C. (9⋅5)+8+3
D. (5⋅8)+3

Answer 1

The Associative Property applies to addition and multiplication and allows you to group numbers differently without changing the outcome.

Let's analyze each expression:

A. \((9 \cdot 5) \cdot (8 \cdot 3)\) - This expression does not fit the associative property because it's a product of two products.

B. \((5 + 8) \cdot 3\) - This one is also not applicable because it has both an addition and multiplication operation.

C. \((9 \cdot 5) + 8 + 3\) - Here we can use the associative property for addition if we wanted to group differently, such as \((9 \cdot 5 + 8) + 3\).

D. \((5 \cdot 8) + 3\) - This expression does not provide a scenario where we can apply the associative property, due to the presence of addition after multiplication.

The correct answer is **C**: \((9 \cdot 5) + 8 + 3\), which could be rewritten using the Associative Property of addition by regrouping the terms (e.g., \((8 + 3) + (9 \cdot 5)\)).