State the name of the property illustrated: (3 • 7) + (4 • 7) = (...

Question

State the name of the property illustrated: (3 • 7) + (4 • 7) = (4 • 7) + (3 •7)

Accepted Answer

Hello everyone in this video. We'll be looking at this problem where we're asked to identify the mathematical property being observed in the equation parentheses one times 11 plus parentheses. Two times 11 is equal to two times 11 plus one times 11. So in this case you can see that there's two components to the equation. We have a one times 11 that shows up on both sides and we have a two times 11 that also shows up on both sides. So in order to try and highlight the differences between the two sides, I'm going to rewrite them as variables. I'm gonna say a is equal to one times and B is equal to two times 11. So when I rewrite the equation it becomes A plus B. Is equal to B plus A. So you can see that not much is changing between the left hand side and the right hand side. But one thing that is changing is the order in which we add. However, the order is not changing the solution. So both the left hand side and the right hand side are equal to each other. So when we change the order of operations specifically, for addition, it is called the community of property and in this case because it's addition, it would be called the community of property of addition. Hopefully this video helped and see you next time