Q. Which property of multiplication is shown?r⋅s=s⋅rChoices:(A) associative(B) identity(C) zero(D) commutative
Identify Property: Identify the property of multiplication that is being illustrated by the equation r⋅s=s⋅r. In this equation, the order of the factors is being switched, but the product remains the same. This indicates that the property being shown is one that involves the order of the factors.
Match Property: Match the property to the given choices.The property that allows us to change the order of the factors without changing the product is known as the commutative property of multiplication. This means that no matter in what order the numbers are multiplied, the result will be the same.
Eliminate Incorrect Choices: Eliminate the incorrect choices based on the identified property.(A) Associative property deals with the grouping of numbers and does not apply to changing the order of factors.(B) Identity property refers to multiplying a number by one, which leaves the original number unchanged, and is not relevant here.(C) Zero property states that any number multiplied by zero equals zero, which is not demonstrated in the given equation.(D) Commutative property is the correct choice as it matches our identified property from step 1.
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