Respuesta :

Answer:

[tex](\frac{4}{5} )[/tex]  is the ADDITIVE INVERSE of [tex](-\frac{4}{5} )[/tex]

and [tex](-\frac{4}{5} )[/tex]  is the ADDITIVE INVERSE of [tex](\frac{4}{5} )[/tex]

Step-by-step 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 : [tex](\frac{4}{5})   + (-\frac{4}{5}) = 0[/tex]

It implies by the definition of additive inverse  that:

[tex](\frac{4}{5} )[/tex]  is the ADDITIVE INVERSE of [tex](-\frac{4}{5} )[/tex]

and [tex](-\frac{4}{5} )[/tex]  is the ADDITIVE INVERSE of [tex](\frac{4}{5} )[/tex]