Compare the products: which is larger, 0.0203 × 2.92 or 0.0073 × 14.5 × 0.7?

Problem restatementEvaluate both decimal products and decide which is greater.

Given data

• LHS = 0.0203 × 2.92
• RHS = 0.0073 × 14.5 × 0.7

Concept/ApproachCompute each product carefully by splitting into simpler pieces or using place-value reasoning.

Step-by-Step calculation LHS = 0.0203 × 2.92 = 0.0203 × (3 − 0.08) = 0.0609 − 0.001624 = 0.059276 RHS = 0.0073 × 14.5 × 0.7 = 0.0073 × (10 + 4.5) × 0.7 = (0.073 + 0.03285) × 0.7 = 0.10585 × 0.7 = 0.074095 Comparison: 0.059276 < 0.074095

Verification/AlternativeEven rough bounds show RHS is bigger: 0.0073 × 14.5 ≈ 0.105 → × 0.7 ≈ 0.0735 > 0.059.

Common pitfalls

• Dropping decimal places when multiplying (especially with three factors on RHS).
• Comparing by rounding too early; compare to at least three decimal places.

Final Answer0.0073 × 14.5 × 0.7 is larger