Question

Which of the following expressions could you rewrite using the Associative Property?(1 point) Responses
(5+8)⋅3
(9⋅5)⋅(8⋅3)
(9⋅5)+8+3
(5⋅8)+3

Answer 1

The Associative Property states that when adding or multiplying, the way in which the numbers are grouped does not change the result.

To determine which expressions could be rewritten using the Associative Property, let's analyze each option:

1. **(5 + 8) ⋅ 3** - This expression involves multiplication and addition but does not have the same operations that can be regrouped. Therefore, it cannot be rewritten using the Associative Property.

2. **(9 ⋅ 5) ⋅ (8 ⋅ 3)** - This expression has two products but it is not a straightforward application of the associative property between groups of factors. It is not suitable for using the Associative Property.

3. **(9 ⋅ 5) + 8 + 3** - This expression can be regrouped in terms of addition since it contains multiple addends. You can rearrange it as ((9 ⋅ 5) + 8) + 3 or (9 ⋅ 5) + (8 + 3). Therefore, it can be rewritten using the Associative Property.

4. **(5 ⋅ 8) + 3** - Like the first expression, this contains multiplication and addition but does not apply the Associative Property in a meaningful way. Therefore, it cannot be rewritten using the Associative Property.

Based on the analysis, the expression **(9 ⋅ 5) + 8 + 3** could be rewritten using the Associative Property.