Which Pairs are additive inverses?

a. 6, - (-6)

b. - 7,7

c.-7,-7

d. 7,7

e. 6,-6

B and E are the corect answers. For a pair of numbers to be additive inverses, that means that the sum of the two numbers must be 0. And only a pair of opposite nunbers, such as 2 and - 2, can have a sum of 0.

I was never sure of what the "additive inverse" is.

So, just now, just for you, I went and looked it up.

The additive inverse of any number ' A ' is the number

that you need to ADD to A to get zero. That's all!

So now, let's check out the choices:

a), 6, - (-6)

That second number, - (-6), is the same as + 6.

So the two numbers are the same.

Do you get zero when you add them up? No.

b). - 7, 7

What do you get when you add - 7 and 7?

You get zero.

So these ARE additive inverses.

c). - 7, - 7

What do you get when you add - 7 to - 7?

You get - 14. That's not zero, so these

are NOT additive inverses.

d). 7, 7

What do you get when you add 7 to 7?

You get 14. That's NOT zero, so these

are NOT additive inverses.

e). 6, - 6

What do you get when you add 6 to - 6?

You get zero.

So these ARE additive inverses.

What do we end up with from the list of choices:

a)., c)., and d). are NOT additive inverses.

b). and e). ARE additive inverses.