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Evaluate: 45 - [12 + {8 - (6 ÷ 2)}]
28
30
32
26
28
Solve from the innermost bracket outwards. Work quickly: 6/2=3, 8−3=5, 12+5=17, then 45−17=28.
An arithmetic expression involving brackets, division, addition, and subtraction: 45 - [12 + {8 - (6 ÷ 2)}].
BODMAS=Brackets,Of,Division,Multiplication,Addition,Subtraction
Solve from the innermost bracket outwards. Work quickly: 6/2=3, 8−3=5, 12+5=17, then 45−17=28.
Students often solve the subtraction inside the curly brackets before the division, violating the order of operations.
Evaluate innermost parentheses
Perform the division inside the round brackets: 6÷2=3.
6÷2=3
Evaluate curly brackets
Subtract the result from 8 inside the curly brackets: 8−3=5.
8−3=5
Evaluate square brackets
Add the result to 12 inside the square brackets: 12+5=17.
12+5=17
Final subtraction
Subtract the total value of the brackets from 45: 45−17=28.
45−17=28
A is correct because applying the BODMAS rule systematically leads to a final result of 28.
The BODMAS/PEMDAS rule is universal; mastering this is essential for Algebra and Simplification topics in competitive exams.