Question
Download Solution PDFSimplify : \(12\frac{1}{2} - \left[ {8\frac{1}{2} + \left\{ {9 - \left( {5 - 3 - 2} \right)} \right\}} \right]\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(12\frac{1}{2} - \left[ {8\frac{1}{2} + \left\{ {9 - \left( {5 - 3 - 2} \right)} \right\}} \right]\)
Concept used:
Follow the BODMAS rule according to given table:
Calculation:
\(12\frac{1}{2} - \left[ {8\frac{1}{2} + \left\{ {9 - \left( {5 - 3 - 2} \right)} \right\}} \right]\)
\(\Rightarrow12\frac{1}{2} - \left[ {8\frac{1}{2} + \left\{ {9 - \left( {0} \right)} \right\}} \right]\)
\(\Rightarrow12\frac{1}{2} - \left[ {8\frac{1}{2} + 9} \right]\)
\(\Rightarrow12\frac{1}{2} - \left[ {\frac{17}{2} + 9} \right] \)
\(\Rightarrow\frac{25}{2} - \left[ {\frac{17+18}{2}} \right] \)
\(\Rightarrow\frac{25}{2} - \frac{35}{2}\)
\(\Rightarrow\frac{25-35}{2} \) = \(\dfrac{-10}{2}\) = - 5
Therefore, the simplified expression is:
\(12\frac{1}{2} - \left[ {8\frac{1}{2} + \left\{ {9 - \left( {5 - 3 - 2} \right)} \right\}} \right] = -5\)
Last updated on Jun 30, 2025
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