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Which property of multiplication is shown?\newlinep⋅q=q⋅pp \cdot q = q \cdot p\newlineChoices:\newline(A)zero\newline(B)identity\newline(C)commutative\newline(D)associative

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Q. Which property of multiplication is shown?\newlinep⋅q=q⋅pp \cdot q = q \cdot p\newlineChoices:\newline(A)zero\newline(B)identity\newline(C)commutative\newline(D)associative
  1. Identify Property: Identify the property of multiplication by examining the equation p⋅q=q⋅pp \cdot q = q \cdot p. In this equation, the order of the factors pp and qq 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.
  2. Match with Options: Match the observed property with the correct choice from the given options.\newlineThe property that describes the ability to change the order of factors without changing the product is known as the commutative property of multiplication.
  3. 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 00. (B) The identity property typically involves multiplying by 11, 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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