Fill in operators — Choose the correct sequence of signs to make the statement true: 40 * 2 * 4 * 3 * 8
Verbal Reasoning
Mathematical Operations
Difficulty: Medium
Choose an option
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A+ - ÷ =
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B÷ + = x
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C+ ÷ x =
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D+ x - =
Answer
Correct Answer: ÷ + = x
Explanation
Introduction / Context:We must pick a sequence of operations so that the expression becomes a true equation. The four symbols fill in order and one of them must be “=” to split left and right sides.
Given Data / Assumptions:
- Template: 40 {s1} 2 {s2} 4 {s3} 3 {s4} 8
- Standard precedence applies on each side of the “=”.
Concept / Approach:Try choices that place “=” as the third symbol so the last symbol lands on the right-hand side. Option B yields a clean check.
Step-by-Step Solution:
Option B: s1=÷, s2=+, s3==, s4=× → 40 ÷ 2 + 4 = 3 × 8.Left: 40 ÷ 2 + 4 = 20 + 4 = 24.Right: 3 × 8 = 24.Equality holds → Option B is correct.Verification / Alternative check:Test other options quickly; they fail to balance to a single equality.
Why Other Options Are Wrong:
- They either misplace “=” or produce unequal numeric results.
Common Pitfalls:
- Ignoring precedence and evaluating strictly left-to-right across the equality.
Final Answer:÷ + = x