Question

What is the opposite of the opposite of \[{}^{-1}/{}_{2}\] on the number line?

Answer 1

Hint: For solving this question you should know about the opposite of any number and to represent it on the number line. As our question is asking for the opposite of a number which is also opposite of any other number. So, first we will calculate the opposite of the number which is given to us and that is equal to the negative value of that. And then we have to calculate the opposite of this value. And now it will again be the positive of that value so finally we will get the same value.

Complete step-by-step solution:
According to our question we have to find the opposite value of the opposite value of \[{}^{-1}/{}_{2}\].
So, if we understand our question and apply the concept of opposite values on it then first we have to take the opposite of \[{}^{-1}/{}_{2}\].
And then we will get a positive value on the number line and then again we have to calculate the opposite of the positive value on the number line. And that will be equal to the original given number.
The simple concept for this is that if we find the opposite of any number then if we find the opposite for even times then we get the same value with the same sign.
And if we calculate the opposite for odd times, then the value will be the same but the sign will be negative of the complete value.
So, if we see our question,
Then first opposite of \[-\dfrac{1}{2}\] is \[=-\left( -\dfrac{1}{2} \right)=+\dfrac{1}{2}\]
And now again the opposite of \[\dfrac{1}{2}\] is \[=-\left( \dfrac{1}{2} \right)=-\dfrac{1}{2}\]
So, we can say that the opposite means multiplying the number with (-1).
So, the opposite of \[\left( -\dfrac{1}{2} \right)\] remains the same and it will be \[-\dfrac{1}{2}\].

Note: For calculating the opposite of any value at number line we have to be careful regarding the sign changing. Because at every opposite of any value the sign will change. And due to this it will go to the left to right or left along the centre line.