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Which property of multiplication is shown?\newline4×(5×3)=(4×5)×34 \times (5 \times 3) = (4 \times 5) \times 3\newlineChoices:\newline(A)associative\newline(B)commutative

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Q. Which property of multiplication is shown?\newline4×(5×3)=(4×5)×34 \times (5 \times 3) = (4 \times 5) \times 3\newlineChoices:\newline(A)associative\newline(B)commutative
  1. Identify Structure: Identify the structure of the equation.\newlineThe equation shows a number multiplied by a grouped multiplication on both sides of the equation. This suggests a rearrangement of the parentheses without changing the order of the numbers.
  2. Recognize Property: Recognize the property of multiplication.\newlineThe associative property allows us to change the grouping of the numbers being multiplied without changing the product. This property is shown here as (4×(5×3))=((4×5)×3)(4 \times (5 \times 3)) = ((4 \times 5) \times 3).
  3. Match to Choices: Match the property to the choices given.\newlineThe associative property matches choice (A)associative, not (B)commutative, which would involve swapping the places of numbers.

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