In Exercises 75–84, state the name of the property illustrated. 6...

Question

In Exercises 75–84, state the name of the property illustrated. 6+(2+7)=(6+2)+7

Accepted Answer

Hello. Today we're going to be identifying what property is shown in a given equation. So the equation given to us is one plus the quantity plus nine, Equal to the quantity one plus plus nine. So both sides of this equation have the numbers 1, 14 and nine. However, if you notice the grouping on both sides of the equation are different. Now, even though the grouping is different, that doesn't necessarily change the quantity of both sides of the equation. So what property here is going to allow us to group the numbers differently while keeping the values of both sides of the equation the same. Well, the only property that allows us to do that is the associative property of addition. Because the associative property of addition states that if you have A plus the quantity B plus C. Then grouping A. And B together and adding it with C. Isn't going to change its value. So I hope this video helps you in understanding what the associative property is. And I'll go ahead and see you all in the next video.