Answer :
(a) The reciprocal of -9 is [tex]\(-\frac{1}{9}\)[/tex]. This is a negative rational number and its value is greater than -1.
(b) The additive inverse of [tex]\(\frac{3}{6}\)[/tex] is [tex]\(-\frac{3}{6}\)[/tex], which simplifies to [tex]\(-\frac{1}{2}\).[/tex]. This is also a negative rational number, and it's value is -0.5.
(c) The negative of [tex]\(-\frac{28}{8}\)[/tex] is [tex]\(\frac{28}{8}\),[/tex] which simplifies to [tex]\(3\frac{1}{2}\)[/tex] or 3.5. This is a positive rational number.
Comparing the values, the rational number with the least value is option (b)
Answer:-
(a) reciprocal of -9 = -1/9
(b) additive inverse of 3/6 = 6/3
(c) negative of -28/8 = -(-28/9)
= + 28/9