Question

Fill the additive inverse, of the given number \[\dfrac{{ - 8}}{{ - 7}}\]?

Answer 1

Hint: The given question is find the additive inverse of the number given, here we have to know the meaning of additive inverse in order to find the solution of the question. The additive inverse of the number is the number which when added to the given number then the result obtained would be zero.

Complete step-by-step solution:
Here we know that the additive inverse of a number is the number which when added to the given number then the result obtained will be zero.
Here we have to solve this by assuming the additive inverse as ”x”
Now formulating the statement in mathematical form we get:
\[ \Rightarrow \dfrac{{ - 8}}{{ - 7}} + x = 0\]
Now solving this equation for getting the value of the assumed variable “x” will give the answer for the question,
On solving we get:
\[
   \Rightarrow \dfrac{{ - 8}}{{ - 7}} + x = 0 \\
   \Rightarrow x = -\dfrac{8}{7} \\
 \]
Hence the additive inverse of the number given is “\[-\dfrac{8}{7}\]”.

Note: To solve the given question, we need to understand the meaning of the additive inverse, otherwise we would not be able to form the equation and hence would not be able to get the answer. Here on formulating the equation we see that the additive inverse of a number is the same number having opposite signs.