Question

What property is demonstrated 4/5+(-4/5)=0

Answer 1

`((4)/(5) )` is the ADDITIVE INVERSE of
`(-(4)/(5) )`

and
`(-(4)/(5) )` is the ADDITIVE INVERSE of
`((4)/(5) )`

Explanation:

A number P is said to be the ADDITIVE INVERSE of the quantity Q

if and only if P + Q = 0

or if sum of any two terms is equivalent to 0, then they are additive inverse of each other.

here, P is the additive inverse of Q.

and Q is the additive inverse of P.

Now, here given :
`((4)/(5))   + (-(4)/(5)) = 0`

It implies by the definition of additive inverse that:

`((4)/(5) )` is the ADDITIVE INVERSE of
`(-(4)/(5) )`

and
`(-(4)/(5) )` is the ADDITIVE INVERSE of
`((4)/(5) )`