Evaluate, correct to three decimal place $\frac{4.314 × 0.000056}{0.0067}$

Step 1: Analyze the question We need to compute (4.314 × 0.000056) ÷ 0.0067 and round to 3 decimal places.

Step 2: Multiply the numerator 4.314 × 0.000056 = 4.314 × 56 × 10⁻⁶ 4.314 × 56 = 241.584 So the numerator = 241.584 × 10⁻⁶ = 0.000241584

Step 3: Divide by 0.0067 0.000241584 ÷ 0.0067 = 241.584 × 10⁻⁶ ÷ (67 × 10⁻⁴) = (241.584 ÷ 67) × 10⁻²

241.584 ÷ 67:

• 67 × 3 = 201, remainder 40.584
• 67 × 0.6 = 40.2, remainder 0.384
• 67 × 0.005 = 0.335, remainder 0.049
• 67 × 0.0007 ≈ 0.0469

So 241.584 ÷ 67 ≈ 3.6057

Then 3.6057 × 10⁻² = 0.036057

Step 4: Round to 3 decimal places 0.036057 → 0.036

Answer: D. 0.

Tip: For numbers with many zeros, convert to standard form (powers of 10) first. Handle the digits and the powers of 10 separately, which cuts down on decimal-place errors. Also, estimate to check: 4.3 × 0.000056 ≈ 0.00024, and 0.00024 ÷ 0.0067 ≈ 0.036. This quick check helps you rule out options like 0.361 and 0.004.