QUESTION IMAGE
Question
which property of multiplication is shown?
6 × (9 × 3) = (6 × 9) × 3
associative
commutative
identity
distributive
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The associative property of multiplication states that the way in which factors are grouped in a multiplication operation does not change the product. In the equation \(6\times(9\times3)=(6\times9)\times3\), we are changing the grouping of the factors (grouping 9 and 3 first on the left, and 6 and 9 first on the right) but the product remains the same. The commutative property involves changing the order of factors, the identity property involves multiplying by 1, and the distributive property involves distributing a factor over a sum or difference. So this shows the associative property.
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associative