Question

Write the additive inverse (with explanation) of:-
a) -6/-5
b) -5/9
c) 19/-6
d) 2/8

Answer 1

a) -6/5 because negative signs will cancel

b) 5/9

c) 19/6

d) -2/8

Answer 2

Additive Inverse  Of the following numbers.....

 $(a) \: \huge\frac{ - 6}{ 5} = \huge\frac{ 6}{ 5}$

 $(b) \: \huge\frac{ - 5}{ 9} = \huge\frac{ 5}{ 9}$

 $(c) \: \huge\frac{19}{-6} = \huge\frac{19}{6}$

 $(d) \: \huge\frac{2}{8} = \huge\frac{-2}{8}$  

Explanation -    

Additive Inverse  of any number means the change in the sign of the number.  If it's negative,  it will be changed into positive or if it's already  positive then it will be changed into the negative sign.  Let's understand  this concept with the help of some example.  Let the no. be a (as a example).  Now here,  "a" is a positive integer ( number) so it's additive inverse will be "-a". Now,  let's take "-b" as a example.  Here " -b" is a negative integer so,  it's additive inverse will be " b ". Hence,  additive inverse means the change of sign.