Approximation and quick calculation: Evaluate 30.9 × 3000 − 10.1 × 1100 + 8298 − 4302 and choose the closest option.

Introduction / Context:The expression combines two scaled products and a net constant adjustment. Compute each product exactly, apply the subtraction, add the constants, and pick the nearest large-rounded option.

Given Data / Assumptions:

• 30.9 * 3000
• 10.1 * 1100
• + 8298 − 4302

Concept / Approach:Perform the clean multiples first, then the smaller net constant. Because options are in 5000 increments, exact arithmetic directly identifies the closest value.

Step-by-Step Solution:

Verification / Alternative check:Rounding constants slightly (e.g., 3996 ≈ 4000) gives 81590 + 4000 = 85590, still closest to 85000 versus 90000.

Why Other Options Are Wrong:80000 is 5586 low; 90000 is 4414 high; 105000 is far off.

Common Pitfalls:Dropping a zero when multiplying by 3000 or 1100, which changes the result by orders of magnitude.

Final Answer:85000