Question

Find the value of the given expression
$ - 1 + 55 - \left( { - 29} \right) + \left( { - 1} \right) - \left( { - 82} \right) + \left( { - 3} \right).$

Answer 1

Hint: For this type of question we apply the BODMAS rule to simplify and hence we can find the value of the given expression. According to which we follow the sequence in which we perform the arithmetic operations. For this question we apply the BODMAS concept, in which B stands for bracket, D stands for division, M stands for multiplication, A stands for addition and S stands for subtraction.

Complete step-by-step answer:
We simplify given expression $ - 1 + 55 - \left( { - 29} \right) + \left( { - 1} \right) - \left( { - 82} \right) + \left( { - 3} \right)$ by using BODMAS rule.
In BODMAS we first solve brackets. Also, we know that if there is a minus sign then the sign of the term inside the bracket gets reversed.
Therefore, on removing brackets we have
$ - 1 + 55 + 29 - 1 + 82 - 3$
Now, according to BODMAS after solving brackets we will solve division terms but in the above simplified expression there are no division terms. So, therefore according to BODMAS we will solve multiplication terms in the above simplified expression. But, there are no multiplication terms in expression. Hence, we proceed to simplify addition and subtraction terms as per BODMAS rule.
Therefore, on solving addition terms of above simplified expression we have:
$
  \left( {55 + 29 + 82} \right) + \left( { - 1 - 1 - 3} \right) \\
   \Rightarrow \left( {166} \right) + \left( { - 5} \right) \\
   \Rightarrow 166 - 5 \\
   \Rightarrow 161 \\
 $
Hence, from above we see that value of given expression $ - 1 + 55 - \left( { - 29} \right) + \left( { - 1} \right) - \left( { - 82} \right) + \left( { - 3} \right)$ is$161$.

Note: While solving expressions with the help of BODMAS students must take care steps of BODMAS and also must be very careful while changing signs of terms having negative signs in between brackets.