Question

The additive inverse of $ - 35$ is?

Answer 1

Hint: In the given question, we have to find the additive inverse of the given number. To find the additive inverse of a number, we must know the meaning of the term additive inverse. The additive inverse of a number x is a number which when added to x gives zero as result. So, to find the additive inverse of the given number, we first equate the sum of the number and its additive inverse as zero. Then, we solve the mathematical equation obtained using the transposition method to find the value of the variable.

Complete answer:
So, the number given to us in the problem is $ - 35$.
Let us assume the additive inverse of the number to be a variable, let's say x. Then, the sum of $ - 35$ and x should be equal to zero. So, we get,
$x + \left( { - 35} \right) = 0$
Now, we use the transposition method to find the value of variable x in the equation above. So, shifting the constant to the right side of the equation, we get,
$ \Rightarrow x = - \left( { - 35} \right)$
Now, opening the brackets, we know that multiplication of two negative signs yields a positive sign. Hence, we get,
$ \Rightarrow x = 35$
So, we obtain the value of x as $35$. Therefore, the additive inverse of the number given to us in the problem itself, $ - 35$ is obtained as $35$.

Note: We can see that the additive inverse of the number is opposite in sign when compared to the original number. Thus, we can notice that the additive inverse of a number is actually the same as the negation of the number. If we add, subtract, multiply or divide by the same number on both sides of a given algebraic equation, then both sides will remain equal.