Question

What is the value of $ - 10 - \left( { - 10} \right)$?

Answer 1

Hint: To find the value of $ - 10 - \left( { - 10} \right)$, use the property of BODMAS. Here, in our expression, we have two operations subtraction and bracket. So, first of all operate brackets and then operate subtraction. Carrying out these steps we will get our answer.

Complete step by step solution:
In this question we have to find the value of $ - 10 - \left( { - 10} \right)$.
This might look a little complicated at first, but it is quite simple and we can solve it easily.
In other words, we are given two numbers $ - 10$ and $\left( { - 10} \right)$ and we have to carry out subtraction between them. So, we have to subtract $ - 10$ from $ - 10$.
Now, there is a property in mathematics that is BODMAS, which states that in a given expression, we have to first carry out operation on brackets, then on order, then on division, then on multiplication, then on addition and then on subtraction.
So, in our expression, we are having two operations: subtraction and bracket.
So, we have to operate the bracket first.
Now, $\left( - \right)$and $\left( - \right)$becomes $\left( + \right)$
Therefore, our expression becomes,
$ - 10 + 10$.
Now, we can rearrange the terms and rewrite the expression as
$10 - 10$
Hence, $10 - 10 = 0$.
Therefore, $ - 10 - \left( { - 10} \right) = 0$.

Note:
If one number is positive and the other number is positive, then the resultant operation is addition.
Example: $3 + 1 = 4$
If one number is negative and another number is positive, then the resultant operation is subtraction.
Example: $ - 6 + 4 = - 2$
If one number is negative and another number is also negative, then resultant operation is addition.
Example: $ - 5 - 2 = - 7$
Note that the sign of greater number is always considered.