Scale comparison via decimal division Evaluate: 50.8 ÷ 2540 = ?

Introduction / Context:
This problem checks decimal division and recognition that multiplying a divisor by 0.02 can reproduce the dividend exactly. Spotting such proportional relationships speeds up calculations on tests.

Given Data / Assumptions:

• Compute 50.8 / 2540.
• No rounding is needed.

Concept / Approach:
Look for a simple factor k such that 2540 * k = 50.8. Since 2540 * 0.02 = 50.8, the quotient is 0.02. Alternatively, scale both numbers to remove decimals and reduce the fraction.

Step-by-Step Solution:
Test k = 0.02 ⇒ 2540 * 0.02 = 50.8.Hence 50.8 / 2540 = 0.02 directly.

Verification / Alternative check:
As a fraction: 50.8/2540 = 508/25400 = divide by 254 ⇒ 2/100 = 0.02. The simplification confirms the same result.

Why Other Options Are Wrong:
2, 0.2, 0.002: These correspond to multipliers that yield 5080, 508, or 5.08 when applied to 2540, not 50.8.

Common Pitfalls:
Dropping or adding a zero when scaling; mistaking 0.2 for 0.02. Verify by multiplying back: divisor * quotient should equal dividend exactly.

Final Answer:
0.02