Approximation and quick calculation: Evaluate 17.995 × 16.005 + 15.999 × 15.001 and select the closest option.

Introduction / Context:
This expression features pairs of numbers around convenient integers (16, 18) and (15, 16). Using near-square and symmetry ideas speeds up the calculation and leads to a precise estimate for the closest option.

Given Data / Assumptions:

• Compute A = 17.995 * 16.005
• Compute B = 15.999 * 15.001
• Required: A + B

Concept / Approach:
Note 18*16 = 288; the tiny deviations keep A near 288. Also, B ≈ 16*15 = 240 with minimal adjustment. Summing gives a value around 528; detailed correction refines this by a fraction only.

Step-by-Step Solution:

Verification / Alternative check:
Direct multiplication yields about 528.011, matching the above reasoning and reinforcing 528 as closest.

Why Other Options Are Wrong:
513 and 440 are far below; 818 is far above the balanced near-16 and near-18 products.

Common Pitfalls:
Roughly using 18*16 + 16*15 = 528 without considering tiny corrections actually already lands on the correct neighborhood; avoid overcomplicating adjustments that change nothing at the hundreds place.

Final Answer:
528