Question
Substituting 1 for x in the equation 5x + 3=x⋅5 + 3 is a test case for which property?(1 point)%0D%0AResponses%0D%0A%0D%0AThe Associative Property of Multiplication%0D%0AThe Associative Property of Multiplication%0D%0A%0D%0AThe Associative Property of Addition%0D%0AThe Associative Property of Addition%0D%0A%0D%0AThe Commutative Property of Multiplication%0D%0AThe Commutative Property of Multiplication%0D%0A%0D%0AThe Commutative Property of Addition
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GPT-4o mini
The equation \(5x + 3 = x \cdot 5 + 3\) demonstrates the **Commutative Property of Multiplication**.
This property states that the order of multiplication does not change the product, meaning \(a \cdot b = b \cdot a\). In your equation, substituting \(1\) for \(x\) results in both sides being equal, thus confirming that the order of terms on the right-hand side can switch without affecting the outcome.
So, the correct response is:
**The Commutative Property of Multiplication**.
This property states that the order of multiplication does not change the product, meaning \(a \cdot b = b \cdot a\). In your equation, substituting \(1\) for \(x\) results in both sides being equal, thus confirming that the order of terms on the right-hand side can switch without affecting the outcome.
So, the correct response is:
**The Commutative Property of Multiplication**.
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