Approximate (nearest sensible option): 14.995 × 8.001 × 20.991 = ?

Difficulty: Easy

Correct Answer: 2520

Explanation:

Introduction: When all three factors are very close to round integers, multiply the rounded values to get a near-exact estimate. The tiny deviations (±0.005, ±0.001, etc.) have minimal influence relative to the coarse answer options provided.

Given Data / Assumptions:

  • 14.995 ≈ 15
  • 8.001 ≈ 8
  • 20.991 ≈ 21

Concept / Approach: Approximate product ≈ 15 * 8 * 21. Multiply stepwise and compare to options. This approach is standard in approximation questions involving nearly-integer factors.

Step-by-Step Solution:

15 * 8 = 120 120 * 21 = 2520

Verification / Alternative check: A slightly more exact check: 14.995 * 8.001 ≈ 120.0 (to within about 0.01), then 120 * 20.991 ≈ 2518.9, which rounds to 2520 and matches the nearest option.

Why Other Options Are Wrong: 1950, 2200, 2100, and 1520 are far from the 2520 region implied by near-integer rounding.

Common Pitfalls: Attempting exact multi-decimal multiplication under time pressure. Recognize near-integers and round sensibly first.

Final Answer: 2520

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