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2 + (x + y) = (2 + x) + y is an example of which algebraic property ?
The associative property of addition says that the change in the order of the number does not change the resultant sum.
Answer: 2 + (x + y) = (2 + x) + y is an example of aasociative property of addition.
Let's look into the expression 2 + (x + y) = (2 + x) + y.
The associative property of addition states that a + (b + c) = (a + b) + c
Hence, the change in the order of adding the numbers does not change the result of addition if the numbers are the same.
As per the given expression,
2 + (x + y) = (2 + x) + y where the a = 2, b = x and c = y
Therefore, the sum of these numbers will not change even if they change their position or order is changed.
Thus, 2 + (x + y) = (2 + x) + y is an example of associative property of addition.