Question

Subtract the sum of $255$ and $-183$ from the sum of $-1360$ and 1258.

Answer 1

Hint: To solve this question first we will find the sum of 255 and $-183$. Then we will find the sum of $-1360$ and 1258. Then we subtract the obtained sum of 255 and $-183$ from the sum of $-1360$ and 1258 to get the desired answer.

Complete step by step solution:
We have to solve the given algebraic operations.
We have to find the difference between the sum of 255 and $-183$ and the sum of $-1360$ and 1258.
To find the difference first we need to find the sum of given numbers.
Let us first calculate the sum of 255 and $-183$. Then we will get
$\Rightarrow 255+\left( -183 \right)$
Solving the above obtained equation we will get
$\begin{align}
  & \Rightarrow 255-183 \\
 & \Rightarrow 72 \\
\end{align}$
Now, let us find the sum of $-1360$ and 1258. Then we will get
$\Rightarrow -1360+1258$
Solving the above obtained equation we will get
$\Rightarrow -102$
Now, we have to subtract 72 from $-102$. Then we will get
$\Rightarrow -102-72$
Solving the above obtained equation we will get
\[\Rightarrow -174\]

Hence we get the difference of sum of 255 and $-183$ and sum of $-1360$ and 1258 as $-174$.

Note: Students may find the sum of numbers without considering the sign as $255+183$ and $1360+1258$, which gives the incorrect answer. Another possibility of mistake is that students may subtract $-102$ from 72 which gives the incorrect answer.
$\begin{align}
& \Rightarrow 72-\left( -102 \right) \\
& \Rightarrow 174 \\
\end{align}$
It gives the same answer but with different sign which is a wrong answer.