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Simplify: 150 ÷ [25 ÷ 5 × {10 + 5 - (2 + 3)}]
3
5
10
15
3
Work strictly from the innermost brackets outward, and remember to perform multiplication and division from left to right.
Expression to simplify: 150 ÷ [25 ÷ 5 × {10 + 5 - (2 + 3)}]
Result=150÷[25÷5×{10+5−(2+3)]
Work strictly from the innermost brackets outward, and remember to perform multiplication and division from left to right.
Performing multiplication before division inside the square brackets instead of evaluating strictly from left to right.
Step 1: Innermost parentheses
Evaluate the expression inside the parentheses first: (2+3)=5.
(2+3)=5
Step 2: Curly braces
Substitute the result back and evaluate the curly braces: {10+5−5}=10.
10+5−5=10
Step 3: Square brackets
Evaluate inside the square brackets following left-to-right priority for division and multiplication: 25÷5×10=5×10=50.
25÷5×10=50
Step 4: Final division
Perform the final division operation: 150÷50=3.
150÷50=3
A is correct because the final simplified value of the given expression is 3.
Mastering the order of operations is crucial for tackling complex algebraic expressions and data interpretation sets quickly.
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