For Sports Day, the scorer at Pasir Ris Primary writes this expression to compute the total points: 8 × (45 − (17 + 8)) ÷ 4 + 12. What is the value of the expression?
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Worked Solution
Step 1: Apply BODMAS with nested brackets. The INNERMOST bracket comes first.
Step 2: Innermost bracket: (17 + 8) = 25. The expression becomes 8 × (45 − 25) ÷ 4 + 12.
Step 3: Outer bracket: (45 − 25) = 20. The expression becomes 8 × 20 ÷ 4 + 12.
Step 4: × and ÷ from left to right: 8 × 20 = 160, then 160 ÷ 4 = 40. The expression becomes 40 + 12.
Step 5: Addition last: 40 + 12 = 52.
Check (reverse): 52 − 12 = 40; 40 × 4 = 160; 160 ÷ 8 = 20; 45 − 20 = 25; 25 − 8 = 17 ✓.
Final answer: 52.
Answer: 52
Correct answer: 52
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