Approximation and quick calculation: Evaluate 1205 ÷ 2.5 and select the closest option.

Introduction / Context:
Dividing by 2.5 is the same as multiplying by 10/25 = 2/5 and then by a factor of 2: a quick trick is to double the numerator and divide by 5. This keeps the arithmetic exact and mental-friendly.

Given Data / Assumptions:
Compute 1205 / 2.5 and choose the closest option.

Concept / Approach:
2.5 = 5/2. So 1205 / 2.5 = 1205 / (5/2) = 1205 * (2/5) = (2410) / 5. This eliminates decimals and gives an exact integer result when divisible by 5.

Step-by-Step Solution:

Verification / Alternative check:
Direct long division: 2.5 * 480 = 1200; remainder 5; 2.5 * 2 = 5; hence exact is 482. Since 482 is not listed, choose the nearest, 480.

Why Other Options Are Wrong:
300 and 3000/4800 are far from the exact 482; 480 is the only close option.

Common Pitfalls:
Dividing by 25 or 2 instead of 2.5 or forgetting the multiply-by-2 step before dividing by 5.

Final Answer:
480