Question

Simplify each of the following:
 \[2550 - \left[ {510 - \{ 270 - \left( {90 - \overline {80 + 70} } \right)\} } \right] \]

Answer 1

Hint: To simplify this type of problem apply the BODMAS rule for simplification step by step then get the final value. In this problem values under recurring are also present so operate first recurring then as follows: BODMAS.

Complete step-by-step answer:
The given expression is
 \[2550 - \left[ {510 - \{ 270 - \left( {90 - \overline {80 + 70} } \right)\} } \right] \]
So according to the BODMAS first work on small bracket
On simplification of the bracket we get,
 \[\Rightarrow 2250 - \left[ {510 - \{ 270 - {\text{ }}\left( { - 60} \right)\} } \right] \]
Then on simplification of middle bracket
We get,
 \[\Rightarrow 2550 - \left[ {510 - 380} \right] \]
Then working of big bracket
We get,
 \[\Rightarrow 2550 - 180\]
Finally working on minus sign we get,
 \[\Rightarrow 2370\]
Hence the final answer of the given expression is \[2370\]
So, the correct answer is “2370”.

Note: BODMAS does not include the recurring sign information when to calculate the values under recurring. In this problem if operated very first the recurring. So before working on small brackets work on recurring first if present in the expression.