Question

How can the additive inverse be used to evaluate the problem below?

–3 – (–6)
Because 3 + (–6) is an equivalent expression, the answer is –3.
Because 3 + (–6) is an equivalent expression, the answer is 3.
Because –3 + 6 is an equivalent expression, the answer is –3.
Because –3 + 6 is an equivalent expression, the answer is 3.

Answer 1

addative invesre means adding the invese is same as subtracting the other (???)
confusing

-3-(-6)=-3+6=3

last one

Answer 2

Answer: Because –3 + 6 is an equivalent expression, the answer is 3.

Explanation:

We know that the additive inverse property says that the additive inverse of any arbitrary number x is a number which when added to x results 0.

For any real number, it generally reverses its sign.

i.e. Additive inverse of x = -x such that x+(-x)=x-x=0

The given problem :
`-3-(-6)`

Using additive inverse property, the additive inverse of
`-6=6`

`\Rightarrow\ -3-(-6)=-3+6\\=6+(-3)...............................\text{[Commutative property]}\\=6-3\\=3`