Question

Write the additive inverse of \[\dfrac{2}{3}\].

Answer 1

Hint: We need to find the additive inverse of the given number \[\dfrac{2}{3}\]. As we know that the additive inverse of any number \[a\] is the number that when added to \[a\] will give us zero. Now, we need to find the number which should be added in \[\dfrac{2}{3}\] and the result will be zero.

Complete step-by-step answer:
Consider the given number \[\dfrac{2}{3}\].
We need to find the additive inverse of this number.
As we know that the additive inverse is the number which when added in the number yields zero.
Thus, the additive inverse of \[\dfrac{2}{3}\] is \[ - \dfrac{2}{3}\].
We can check by adding both the number and see whether 0 is obtained as a result or not.
Thus, we get,
\[{\text{Number + additive inverse}} = 0\]
Now, we will substitute the values in the above expression to verify,
\[ \Rightarrow \dfrac{2}{3} + \left( { - \dfrac{2}{3}} \right) = \dfrac{2}{3} - \dfrac{2}{3} = 0\]
Thus, we get the 0 as the result.
Hence the additive inverse is correct that is \[ - \dfrac{2}{3}\].

Note: We can verify the additive inverse by adding it with the number given and see 0 is obtained or not. For the additive inverse, for a real number the additive inverse reverse its sign such that the opposite to a positive number is negative and the opposite to a negative number is positive.