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Calculate the value: 18 - [5 + {6 - (7 - 2)}] =
10
12
14
16
12
Work from the innermost parentheses (vinculum or small brackets) outwards and keep track of the signs to avoid errors.
Expression: 18 - [5 + {6 - (7 - 2)}]
BODMAS=(Bracket,Of,Division,Multiplication,Addition,Subtraction)
Work from the innermost parentheses (vinculum or small brackets) outwards and keep track of the signs to avoid errors.
The most common error is ignoring the sequence of brackets: first ( ), then { }, and finally [ ], or miscalculating the signs outside the brackets.
Simplify innermost parentheses
Evaluate the terms inside the parentheses (7 - 2).
7тИТ2=5
Simplify curly brackets
Substitute the result into the curly brackets {6 - 5}.
6тИТ5=1
Simplify square brackets
Substitute the result into the square brackets [5 + 1].
5+1=6
Final calculation
Subtract the result from 18.
18тИТ6=12
B is correct because following the BODMAS rule leads to a final value of 12.
Mastering order of operations is essential for simplification questions in Algebra and complex arithmetic problems in competitive exams.
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