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Which property of multiplication is shown?\newline(7×3)×8=7×(3×8)(7 \times 3) \times 8 = 7 \times (3 \times 8)\newlineChoices:\newline(A) commutative\newline(B) associative

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Properties of addition and multiplicationright chevron icon

Full solution

Q. Which property of multiplication is shown?\newline(7×3)×8=7×(3×8)(7 \times 3) \times 8 = 7 \times (3 \times 8)\newlineChoices:\newline(A) commutative\newline(B) associative
  1. Identify Structure: Identify the structure of the equation.\newlineThe equation shows a rearrangement of parentheses without changing the order of the numbers.
  2. Compare to Properties: Compare the equation to multiplication properties.\newlineThe commutative property involves swapping numbers, but here the numbers aren't swapped, just the grouping changes. This matches the associative property, which allows us to change the grouping of numbers in multiplication.

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