Decode operator meanings and evaluate: Mapping: “-” means “×”, “x” means “+”, “+” means “÷”, “÷” means “−”. Evaluate: 40 x 12 + 3 - 6 ÷ 60
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A44
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B16
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C7.95
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D4
Answer
Correct Answer: 4
Explanation
Introduction / Context: This is a direct operator-mapping exercise. Replace each printed symbol by its assigned meaning, then compute with standard precedence (× and ÷ first, then + and −), left-to-right within each tier.
Given Data / Assumptions:
- “-” → ×, “x” → +, “+” → ÷, “÷” → −
- Expression: 40 x 12 + 3 - 6 ÷ 60
- Use standard precedence rigorously.
Concept / Approach: Translate first, then evaluate. Do not mix old and new meanings during arithmetic.
Step-by-Step Solution: Translate → 40 + 12 ÷ 3 × 6 − 60 Compute ×/÷ left→right: 12 ÷ 3 = 4; then 4 × 6 = 24 Now +/−: 40 + 24 − 60 = 4
Verification / Alternative check: Parenthesized view: 40 + ((12 ÷ 3) × 6) − 60 = 40 + (4 × 6) − 60 = 40 + 24 − 60 = 4.
Why Other Options Are Wrong: They arise from swapping the mapping or from evaluating +/− before finishing ×/÷.
Common Pitfalls: Treating the printed symbols as usual arithmetic signs instead of mapping first; reversing the left-to-right order in chained ×/÷.
Final Answer: 4