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Simplify: 150 ÷ [25 ÷ 5 × {12 + 8 - (4 + 2)}]
2.14
3.57
4.25
5.12
14
Strictly follow the BODMAS rule from the innermost brackets outward, and execute division and multiplication from left to right.
Expression: 150 / [25 / 5 x {12 + 8 - (4 + 2)}]
Expression=150÷[25÷5×{12+8−(4+2)}]
Strictly follow the BODMAS rule from the innermost brackets outward, and execute division and multiplication from left to right.
Performing multiplication before division within the same precedence level or mismanaging operations inside the curly braces.
Simplify Innermost Parentheses
Start by evaluating the innermost parenthesis (4+2).
4+2=6
Simplify Curly Braces
Substitute the result back into the curly braces and simplify: {12+8−6}.
12+8−6=14
Evaluate Square Brackets
Inside the square brackets, perform division and multiplication strictly from left to right: 25÷5×14.
25÷5×14=5×14=70
Final Division
Divide the outer number by the result of the brackets: 150÷70.
150÷70≈2.14
A is correct because the evaluated expression simplifies to approximately 2.14.
Mastering the order of operations prevents costly arithmetic errors in both basic simplification and complex data interpretation questions.
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