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Simplify: 144 ÷ [12 ÷ 4 × {15 + 5 − (2 + 8 − (6 + 1))}]
12
16
8
4
8
Always resolve brackets from the inside out: Vinculum (bar) → Parentheses ()→ Curly brackets {}→ Square brackets [].
Expression: 144÷[12÷4×{15+5−(2+8−(6+1))}]
BODMAS=Brackets→Orders→Division→Multiplication→Addition→Subtraction
Always resolve brackets from the inside out: Vinculum (bar) → Parentheses ()→ Curly brackets {}→ Square brackets [].
Failing to maintain the correct order of operations or distributing negative signs incorrectly when opening parentheses.
Step 1: Innermost Parenthesis
Evaluate the innermost parenthesis (6+1) first according to the BODMAS rule.
6+1=7
Step 2: Second Parenthesis
Substitute the result back into the next parenthesis: (2+8−7) and simplify.
2+8−7=3
Step 3: Curly Brackets
Evaluate the expression inside the curly brackets {15+5−3.
15+5−3=17
Step 4: Square Brackets and Division
Perform the operations inside the square bracket and final division to obtain the result.
144÷[12÷4×17]=8
C is correct because evaluating the given expression step-by-step using the BODMAS rule yields the final simplified value of 8.
Mastering the order of operations is foundational for solving complex algebraic expressions and data interpretation sets efficiently in competitive exams.
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