\( 180 \div 6=30 \), so \( 187 \div 6 \) is about 30

You're on the right track by using \( 180 \div 6 = 30 \) as a reference point to estimate \( 187 \div 6 \). Let's break it down for a more accurate approximation: 1. **Start with the known division:** \[ 180 \div 6 = 30 \] 2. **Find the difference between 187 and 180:** \[ 187 - 180 = 7 \] 3. **Divide the difference by 6 to see how much more you need to add:** \[ 7 \div 6 \approx 1.1667 \] 4. **Add this to your initial result:** \[ 30 + 1.1667 \approx 31.1667 \] So, \( 187 \div 6 \approx 31.17 \). This means that while estimating \( 187 \div 6 \) as **30** is a reasonable quick approximation, a more accurate estimate would be **31** or **31.17**. **Summary:** - **Exact Calculation:** \( 187 \div 6 \approx 31.17 \) - **Initial Estimate:** \( 30 \) (from \( 180 \div 6 \)) - **Improved Estimate:** **31** or **31.17** Choosing 31 as your estimate would be closer to the actual value than 30.