Question

Which of the following expressions could you rewrite using the Associative Property?(1 point)

(9*5)*(8*3)

(9*5)+8+3

(5+8)*3

(5*8)+3

Answer 1

The Associative Property can be applied to both addition and multiplication, and it states that the way in which numbers are grouped does not affect their sum or product.

Among the provided expressions, the ones that can be rewritten using the Associative Property are:

1. **(9*5)*(8*3)** - This involves multiplication, so you can regroup it (e.g., (9*(5*8))*3).

2. **(5+8)*3** - This involves addition, where you can regroup (e.g., 5+(8*3)) or (8+(5*3)).

The other expressions:

- **(9*5)+8+3** involves addition but is not strictly associative because it does not change the order of grouping but the order of operations.
- **(5*8)+3** is also not suited for the Associative Property as it's a different mix of operations.

So the expressions that could be rewritten using the Associative Property are **(9*5)*(8*3)** and **(5+8)*3**.