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]