2 + (x + y) = (2 + x) + y is an example of which algebraic property? (1 point) Distributive Property Associative Property of Addition Commutative Property of Addition Symmetric …

Question

asked Feb 17, 2021 72.1k views

2 Answers

Karen Hovhannisyan · Answer 1 · 2021-02-22T07:12:04+0000

Answer:

B

Explanation:

So we have the equation:

2+(x+y)=(2+x)+y

From the equation, we can see that the only difference is the placement of the parentheses.

Regardless of the position of the parentheses, the equation remains the same.

This is an example of the associative property (of addition), where the position of the parentheses won't matter.

Therefore, our answer is B.

Further Notes:

The distribute property would be like:

2(3+2)=2(3)+2(2)

You distribute the 2.

The commutative property of addition states that the order in which you add won't matter. For example:

2+3=3+2

And the symmetric property states that you can flip the two sides. So, for instance:

$3+2=5 \text{ and } 5=3+2\\10=7+3\text{ and } 7+3=10\text{ etc.}$