Questions: What property is shown here? 5+(6-8)=5+(-8+6)
Associative Property
Distributive Property
Commutative Property
None
Transcript text: 8. What property is shown here? $5+(6-8)=5+(-8+6)$
Associative Property
Distributive Property
Commutative Property
None
Solution
Solution Steps
Step 1: Identify the Property
The given expression is \(5 + (6 - 8) = 5 + (-8 + 6)\). We need to determine which property of algebra is being demonstrated here.
Step 2: Analyze the Expression
The expression involves rearranging the terms inside the parentheses. Initially, the terms are \(6 - 8\), and they are rearranged to \(-8 + 6\). This rearrangement of terms is characteristic of the Commutative Property, which states that the order of addition does not affect the sum.
Final Answer
The property shown is the Commutative Property. \(\boxed{\text{Commutative Property}}\)