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.