Approximate the quotient (nearest sensible option): 840.003 ÷ 23.999 = ?

Introduction: Division approximations are quick when both numerator and denominator are near neat integers with a simple ratio. Here 840 and 24 are a known pair that simplify to 35 exactly, so tiny decimal tweaks will not change the nearest option.

Given Data / Assumptions:

• Numerator ≈ 840
• Denominator ≈ 24
• Options include 35, which is 840/24

Concept / Approach: Round 840.003 → 840 and 23.999 → 24. Compute 840/24 = 35. Because the true numerator is slightly larger and denominator slightly smaller, the exact result is just over 35, reinforcing 35 as the closest option.

Step-by-Step Solution:

Verification / Alternative check: Exact value ≈ 35.000125... confirming that 35 is precise to within a tiny fraction relative to the option spacing.

Why Other Options Are Wrong: 47, 38, 32, or 18 are not near the simple 35 ratio and deviate far from the refined exact quotient.

Common Pitfalls: Overthinking minute decimals; near-integer quotients like 840/24 should be recognized instantly for speed.

Final Answer: 35