Approximation and quick calculation: Evaluate 198.995 × 12.005 + 16.25 × 6.95 and select the closest option.

Introduction / Context:Two near-integer multiplications combined: keep one factor per product near a simple integer and adjust slightly. Option spacing (50–180) permits a straightforward nearest-choice selection after a tight estimate.

Given Data / Assumptions:

• P1 = 198.995 * 12.005 ≈ 199 * 12
• P2 = 16.25 * 6.95 ≈ 16.25 * 7

Concept / Approach:Compute with rounded integers then account for tiny deviations if options appear close. Here, even the simple rounding lands at the correct choice neighborhood.

Step-by-Step Solution:

Verification / Alternative check:Using 199 * 12.005 ≈ 2388 + 0.995 ≈ 2388.995 and 16.25 * 6.95 ≈ 112.94; sum ≈ 2501.94. Nearest option remains 2500.

Why Other Options Are Wrong:2580, 2550: Too high by ~50–80; 2400 is too low by ~100; thus 2500 is best.

Common Pitfalls:Rounding both products upward can bias the sum toward 2550; balance rounding or include a small correction.

Final Answer:2500