When performing the calculation \( (209.6-116.81) / 8.3922 \), what is the correct answer, to the proper number of significant figures? 11.06 11.057 11 11.1 11.0567

Calculate the value by following steps: - step0: Calculate: \(\frac{\left(209.6-116.81\right)}{8.3922}\) - step1: Remove the parentheses: \(\frac{209.6-116.81}{8.3922}\) - step2: Subtract the numbers: \(\frac{92.79}{8.3922}\) - step3: Convert the expressions: \(\frac{\frac{9279}{100}}{\frac{41961}{5000}}\) - step4: Multiply by the reciprocal: \(\frac{9279}{100}\times \frac{5000}{41961}\) - step5: Reduce the numbers: \(3093\times \frac{50}{13987}\) - step6: Multiply: \(\frac{3093\times 50}{13987}\) - step7: Multiply: \(\frac{154650}{13987}\) First, let's perform the calculation step by step: 1. **Calculate the numerator**: \[ 209.6 - 116.81 = 92.79 \] 2. **Now, divide by the denominator**: \[ \frac{92.79}{8.3922} \approx 11.056696 \] Next, we need to determine the correct number of significant figures for the final answer. - The number \( 209.6 \) has **4 significant figures**. - The number \( 116.81 \) has **5 significant figures**. - The number \( 8.3922 \) has **5 significant figures**. When performing calculations, the result should be reported with the least number of significant figures from the numbers involved in the calculation. In this case, the least number of significant figures is **4** (from \( 209.6 \)). Thus, we round \( 11.056696 \) to **4 significant figures**, which gives us \( 11.06 \). Therefore, the correct answer is **11.06**.