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Simplify: 144 ÷ [12 ÷ 3 × {15 + 5 - (4 + 2 - 1)}]
1.2
0.9
1.5
2.1
0.9
Always resolve parentheses, braces, and brackets sequentially from inside out, applying division and multiplication strictly from left to right.
Expression: 144 ÷ [12 ÷ 3 × {15 + 5 - (4 + 2 - 1)}]
12÷3×{15+5−(4+2−1)}144
Always resolve parentheses, braces, and brackets sequentially from inside out, applying division and multiplication strictly from left to right.
Performing multiplication before division or making sign errors when removing inner parentheses.
Evaluate Innermost Parentheses
Start by simplifying the expression inside the round brackets: (4+2−1).
4+2−1=5
Evaluate Braces
Substitute the result into the curly braces: {15+5−5}.
15+5−5=15
Evaluate Square Brackets and Division
Apply the operations inside the square brackets and complete the final division to find the result.
144÷160=0.9
B is correct because simplifying the given arithmetic expression step-by-step yields 0.9.
Mastering the order of operations forms the foundation for solving complex algebraic expressions and data interpretation sets efficiently.
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