Question

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

(5+8)⋅3

(9⋅5)⋅(8⋅3)

(5⋅8)+3

(9⋅5)+8+3

Answer 1

The Associative Property states that how you group numbers in addition or multiplication does not change the result. This means you can change the grouping of the numbers without changing their arrangement.

Let's analyze the options:

1. **(5+8)⋅3** - This expression involves addition followed by multiplication. It cannot be rewritten using the Associative Property, as the Associative Property specifically deals with the grouping of numbers in addition or multiplication.

2. **(9⋅5)⋅(8⋅3)** - This expression has two separate multiplications and is already grouped in a complex manner. You could rewrite this using the Associative Property by changing the grouping of the whole expression, but typically the property applies to sums or products without separate parentheses like this.

3. **(5⋅8)+3** - This expression is a multiplication followed by addition. You cannot apply the Associative Property directly here as well.

4. **(9⋅5)+8+3** - In this expression, you can use the Associative Property for addition since it allows you to regroup the terms. For example, you could rewrite it as \(9⋅5 + (8 + 3)\) or \((9⋅5 + 8) + 3\).

Thus, the expression that could be rewritten using the Associative Property is:

**(9⋅5)+8+3**.