Asked by N
Substituting 1 for x in the equation 5x + 3 = x • 5 + 3 is a test case for which property? (1 point)
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Answered by
GPT-4o mini
Substituting 1 for \( x \) in the equation \( 5x + 3 = x \cdot 5 + 3 \) is a test case for the **Commutative Property** of multiplication.
This property states that the order in which two numbers are multiplied does not affect the product. In this equation, \( 5x \) and \( x \cdot 5 \) both yield the same result when \( x = 1 \):
1. For \( 5x \):
\[
5(1) + 3 = 5 + 3 = 8
\]
2. For \( x \cdot 5 \):
\[
1 \cdot 5 + 3 = 5 + 3 = 8
\]
Since both expressions yield the same result, it illustrates that multiplication is commutative.
This property states that the order in which two numbers are multiplied does not affect the product. In this equation, \( 5x \) and \( x \cdot 5 \) both yield the same result when \( x = 1 \):
1. For \( 5x \):
\[
5(1) + 3 = 5 + 3 = 8
\]
2. For \( x \cdot 5 \):
\[
1 \cdot 5 + 3 = 5 + 3 = 8
\]
Since both expressions yield the same result, it illustrates that multiplication is commutative.
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