Evaluate to three significant figures

Question

√0.0072*81.3²/23140

Answer 1

To evaluate the expression \( \frac{\sqrt{0.0072} \times 81.3^2}{23140} \) to three significant figures, we will calculate it step by step.

1. Calculate \( \sqrt{0.0072} \): \[ \sqrt{0.0072} \approx 0.08485 \]

2. Calculate \( 81.3^2 \): \[ 81.3^2 = 6617.69 \]

3. Multiply \( \sqrt{0.0072} \) by \( 81.3^2 \): \[ 0.08485 \times 6617.69 \approx 562.561 \]

4. Divide by 23140: \[ \frac{562.561}{23140} \approx 0.0243 \]

Finally, rounding \( 0.0243 \) to three significant figures gives us: \[ \boxed{0.0243} \]