Which property of multiplication is shown? p · q = q · p Choices: (A)zero (B)identity (C)commutative (D)associative

Identify Property: Identify the property of multiplication by examining the equation p · q = q · p. In this equation, the order of the factors p and q is switched, but the product remains the same. This indicates that the multiplication of these numbers is independent of the order in which they are multiplied.Match with Options: Match the observed property with the correct choice from the given options. The property that describes the ability to change the order of factors without changing the product is known as the commutative property of multiplication.Eliminate Other Choices: Eliminate the other choices based on the definition of the commutative property. (A) The zero property is not relevant here, as it involves multiplying by zero. (B) The identity property typically involves multiplying by one, which is not the case here. (D) The associative property involves changing the grouping of factors, not the order. Therefore, the correct choice is (C) commutative.

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Which property of multiplication is shown? $\newline$ $p \cdot q = q \cdot p$

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Algebra 1

Properties of addition and multiplication

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Q. Which property of multiplication is shown?

\newline

p \cdot q = q \cdot p

Identify Property: Identify the property of multiplication by examining the equation $p \cdot q = q \cdot p$ . In this equation, the order of the factors $p$ and $q$ is switched, but the product remains the same. This indicates that the multiplication of these numbers is independent of the order in which they are multiplied.
Match with Options: Match the observed property with the correct choice from the given options. $\newline$ The property that describes the ability to change the order of factors without changing the product is known as the commutative property of multiplication.
Eliminate Other Choices: Eliminate the other choices based on the definition of the commutative property. (A) The zero property is not relevant here, as it involves multiplying by $0$ . (B) The identity property typically involves multiplying by $1$ , which is not the case here. (D) The associative property involves changing the grouping of factors, not the order. Therefore, the correct choice is (C) commutative.