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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. This property applies to expressions that involve two or more numbers being added or multiplied together.

Looking at the options given:

1. **(9⋅5) + 8 + 3**: You can regroup the addition, for example, (8 + 3) + (9 ⋅ 5). This qualifies for the Associative Property of Addition.

2. **(9⋅5) ⋅ (8⋅3)**: This expression is fully multiplied and does not involve grouping in the sense needed for the Associative Property.

3. **(5 + 8) ⋅ 3**: This involves multiplication but doesn't involve re-grouping since it's already in a product format.

4. **(5⋅8) + 3**: This could potentially be regrouped to (5⋅8) + 3, but again there is no additional grouping to utilize the Associative Property here.

The best option that could utilize the Associative Property is **(9⋅5) + 8 + 3**, as you can reorganize it around the addition.

So, the correct answer is:

**(9⋅5) + 8 + 3**.