Name the algebraic property demonstrated in the example below: 2 + x + y = x + 2 + y
Commutative property of addition states that, the order of the numbers in which they are being added does not change the result.
Answer: The algebraic property that has been demonstrated in the example in question is the Commutative Property of Addition
Let's look into the given expression 2 + x + y = x + 2 + y
According to the commutative property of addition,
A + B = B + A
A + B + C = B + C + A
Hence, the order of adding the terms or their position does not change the sum as long as they are the same terms.
Let's look into the given question,
2 + x + y = x + 2 + y
Here, we see that the terms are 2, x and y. Thus, adding the terms in any order will give us the same result.
Therefore, the algebraic property that has been demonstrated in the example in question is the Commutative Property of Addition.