Answer:
[tex]\dfrac{7}{19}[/tex].
Step-by-step explanation:
Note: The number is not in proper form. Consider the given number is [tex]-\dfrac{7}{19}[/tex].
If a number is added to another number and we get zero, then the added number is known as additive inverse.
Let a be a number, then
[tex]a+(-a)=a-a=0[/tex]
So, -a is the additive inverse of a. It means, additive inverse is the same number with opposite sign.
Consider the given number is [tex]-\dfrac{7}{19}[/tex].
[tex]-\dfrac{7}{19}+\dfrac{7}{19}=0[/tex]
Therefore, the additive inverse of [tex]-\dfrac{7}{19}[/tex] is [tex]\dfrac{7}{19}[/tex].