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

Question

Responses

(5⋅8)+3
left parenthesis 5 times 8 right parenthesis plus 3

(9⋅5)⋅(8⋅3)
left parenthesis 9 times 5 right parenthesis times left parenthesis 8 times 3 right parenthesis

(9⋅5)+8+3
left parenthesis 9 times 5 right parenthesis plus 8 plus 3

(5+8)⋅3

Answer 1

The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product.

• In \( (5 \cdot 8) + 3 \), the Associative Property does not apply, since it combines multiplication and addition.

• In \( (9 \cdot 5) \cdot (8 \cdot 3) \), the Associative Property can be applied to rearrange the grouping of multiplication, since all the operations are multiplication.

• In \( (9 \cdot 5) + 8 + 3 \), the Associative Property can also be applied here to rearrange the grouping of addition.

• In \( (5 + 8) \cdot 3 \), the Associative Property does not apply here, as it combines addition and multiplication.

Therefore, the expressions that could be rewritten using the Associative Property are:

• \( (9 \cdot 5) \cdot (8 \cdot 3) \)
• \( (9 \cdot 5) + 8 + 3 \)

Answer 2

Only pick 1

Answer 3

The best choice to rewrite using the Associative Property is:

(9⋅5) + 8 + 3

This expression can have its grouping changed in addition, allowing for the use of the Associative Property.