Question

What is the opposite of $\dfrac{62}{7}?$

Answer 1

Hint: We know that the opposite of a number is the additive inverse of the number. Therefore, a number plus its opposite is equal to zero. We will transpose the values accordingly to find the unknown value.

Complete step by step solution:
Let us consider the given number $\dfrac{62}{7}.$
As we can see, it is a fraction.
We are asked to find the opposite of the given fraction.
We know that the sum of a number and its opposite is equal to zero.
So, to find the opposite of the given number, we will find the number which can be added to the given number to provide zero.
Let us suppose that $x$ is the opposite of the given number $\dfrac{67}{2}.$
Then, we will get $\dfrac{62}{7}+x=0.$
Now, we will transpose the constant term from the left-hand side to the right-hand side of the above equation.
As we know, while we transpose a number, we need to change the sign of the number from negative to positive or vice versa. In this case, we can see the sign is negative.
So, we will get $x=0-\dfrac{62}{7}=\dfrac{-62}{7}.$
Therefore, we will get $x=\dfrac{-62}{7}.$
From this, we can learn that the opposite of a number can be found by multiplying the number with $-1.$
Hence the additive inverse of the given number is $\dfrac{-62}{7}.$

Note: We know that if we want to find the multiplicative inverse of a number, we need to interchange between the numerator and the denominator of the number. We know that if the given number is not a fraction, then the numerator of the multiplicative inverse will be $1$ and the denominator will be the number itself.