Question

What is the reason for Statement 3?
(Picture Posted)

A. identity property of addition
B. property of opposites
C. associative property of addition
D. addition property of equality

Answer 1

@e.mccormick Can you help me? :)

Answer 2

OK. So, they want you to use different rules. Do you know the names, like additive, distributive, etc?

Answer 3

I get confused on them. :(

Answer 4

Well, what that whole thing is doing is using the additive inverse to cancel. Now, what you need are the steps to prove the additive inverse.

Answer 5

Ok.

Answer 6

OK, so here are a couple terms.

When you commute to work it means you go from home to work. The commutitive property of addition means that the order of addition does not matter. \(a+b = b+a\) They can change osition or commute!

Who you associate with is who you are grouped with. The associative property of addition means that things that are grouped together can be regrouped with no change. \((a+b)+c=a+(b+c)\)

See how a lot of these terms come right from regular words?

Answer 7

Oh I see.

Answer 8

Now, do you see things either move or regroup in your question? One of those is in there.

Answer 9

Yes. I see that they are grouped together.

Answer 10

So would it be C.?

Answer 11

Yep!

Answer 12

The addition property of equality is the one that says if you do it to one side you must do it to the other. So it is the one for the start, where they add (-c) to both sides. What gives it away? Well, Additive (what you do) and Equality (to keep it equal!)

Answer 13

For pretty much any of these you can find some small, regular language story. Work on remembering the short stories. Then you can remember the rules.

Answer 14

Ok. Thank you! That was very helpful. :D