Question

Subtract the sum of $ - 1260$ and $1328$ from the sum of $1326$ and $ - 1468$ ?

Answer 1

Hint: In the given question, we are required to simplify an arithmetic expression given to us in the problem. So, we add and subtract the like terms so as to simplify the expression. We can use algebraic rules and properties in order to simplify the given expression. There are various rules that define the order in which the operations are to be carried out like BODMAS. This order must be followed with care so as to arrive at the correct answer.

Complete step by step answer:
In the given problem, we are required to write an arithmetic expression based on the information given to us. First, break down the information given to us to try and identify what arithmetic expression must look like.
So, we have to first evaluate the sum of $ - 1260$ and $1328$ and the sum of $1326$ and $ - 1468$ . Then, we subtract the former sum from the later one.
So, we have, \[\left( {1326 + \left( { - 1468} \right)} \right) - \left( {\left( { - 1260} \right) + 1328} \right)\]
Now, we would use the BODMAS rule in order to simplify the expression \[\left( {1326 + \left( { - 1468} \right)} \right) - \left( {\left( { - 1260} \right) + 1328} \right)\]. BODMAS is an acronym for the sequence in which the mathematical operations are to be done. In BODMAS, B stands for brackets, O stands for of, D stands for division, M stands for multiplication, A stands addition, S stands subtraction.
So, \[\left( {1326 + \left( { - 1468} \right)} \right) - \left( {\left( { - 1260} \right) + 1328} \right)\]
So, we open up the brackets first and simplify the terms going by sequence set by the acronym BODMAS.
\[ \Rightarrow - 142 - 68\]
Simplifying the expression further, we get,
\[ \Rightarrow - 210\]

Hence, the answer for the problem given to us is \[ - 210\] using the BODMAS rule.

Note: The given problem deals with an arithmetic expression. There is no fixed way of simplifying a given arithmetic expression. Care should be taken while doing the calculation steps. Algebraic identities and rules may also be used as and when required as they help simplify complex and tedious tasks.