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Determine whether the two expressions are equivalent. If so, tell what property

is applied. If not, explain why. (Examples 1-4).
1. (3•6) •9 and 3 • (6•9)

User Madhu Bhat
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1 Answer

9 votes

Answer:

They are equivalent by Associative Property

Explanation:

(3•6)•9 is 18•9 which is 162

3•(6•9) is 3•54 which is also 162

So the difference between the two expressions is that they are grouped differently. In the first expression the 3•6 had to be multiplied first. In the other expression the 6•9 had to be multiplied first. But really both were 3•6•9 and it's all multiplication and can happen in any order. But the order 3, 6, 9 did not change. That is Associative property that says you can multiply by grouping factors differently and still get the same answer.

User Syphirint
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