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Which of the following properties could be used to rewrite the expression
8. The commutative property used twice
8. The commutative property used twice
Ask by Morgan Rojas. in the United States
Mar 20,2025
Upstudy AI Solution
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Answer
The commutative property was used twice to rearrange the factors and change the grouping of the expression.
Solution
We start with the expression
Our goal is to rewrite it as
Notice that the original expression groups
Step 1. Write the product without parentheses (since multiplication is associative):
Step 2. Use the commutative property of multiplication to swap the order of
Step 3. Regroup the factors (using associativity) so that
In this process we have used the commutative property twice (to rearrange the order) in order to have the desired grouping. Therefore, the property used is:
- The commutative property used twice.
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Simplify this solution Extra Insights
To rewrite the expression
Additionally, remember that the associative property can also play a role here, as it allows us to change the grouping of the numbers without altering the sum or product. Understanding both properties can help you manipulate expressions more freely!
