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Which property of multiplication is shown?\newlineu⋅(v⋅w)=(u⋅v)⋅wu \cdot (v \cdot w) = (u \cdot v) \cdot w\newlineChoices:\newline(A)zero\newline(B)identity\newline(C)associative\newline(D)commutative

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Q. Which property of multiplication is shown?\newlineu⋅(v⋅w)=(u⋅v)⋅wu \cdot (v \cdot w) = (u \cdot v) \cdot w\newlineChoices:\newline(A)zero\newline(B)identity\newline(C)associative\newline(D)commutative
  1. Identify Property: Identify the property of multiplication shown by the equation u⋅(v⋅w)=(u⋅v)⋅wu \cdot (v \cdot w) = (u \cdot v) \cdot w. The equation suggests that no matter how we group the numbers when multiplying, the result will be the same. This is a fundamental property of multiplication.
  2. Match with Choices: Match the property identified in Step 11 with the given choices.\newlineThe property that describes the ability to group numbers in different ways when multiplying without changing the result is known as the associative property.
  3. Eliminate Incorrect Choices: Eliminate the incorrect choices based on the property identified.\newline(A) Zero property is not relevant here because it involves multiplying by 00.\newline(B) Identity property involves multiplying by 11, which is not the case here.\newline(D) Commutative property involves swapping the order of numbers, which is not what is being shown.\newlineThe correct choice is (C) associative property.

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