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Simplify: 150 ÷ [25 ÷ 5 × {10 + 5 - (2 + 1)}]
2.5
5
10
1.25
5
Work strictly from the inside out (parentheses → curly braces → square brackets) and evaluate division and multiplication from left to right.
An arithmetic expression to simplify: 150 divided by [25 divided by 5 times {10 + 5 - (2 + 1)}]
BODMAS: Brackets→Orders→Division→Multiplication→Addition→Subtraction
Work strictly from the inside out (parentheses → curly braces → square brackets) and evaluate division and multiplication from left to right.
Performing multiplication before division inside brackets or ignoring the left-to-right rule for operations of equal precedence.
Simplify Innermost Parentheses
Start by evaluating the innermost parentheses (2+1).
(2+1)=3
Simplify Curly Braces
Substitute the result back and evaluate the expression inside the curly braces {10+5−3}.
10+5−3=12
Simplify Square Brackets
Evaluate the expression inside the square brackets [25÷5×12] using left-to-right rule for division and multiplication.
25÷5×12=5×12=60
Final Calculation
Divide the outer number 150 by the evaluated value of the square brackets.
150÷60=2.5
A is correct because simplifying the given expression step-by-step using the BODMAS rule results in 2.5.
Mastering order of operations is essential for avoiding silly arithmetic errors in complex algebraic expressions and data interpretation sets.
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