Find your Math Personality!

Find your Math Personality!

# 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

**Explanation:**

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.

Math worksheets and

visual curriculum

visual curriculum