1. **State the problem:** We need to evaluate each expression in the 3x3 grid and then order the results from least to greatest. 2. **Evaluate each expression:** - $\sum_{i=1}^3 i = 1 + 2 + 3 = 6$ - $e^3 \approx 20.0855$ - $\sqrt{7} \approx 2.6458$ - $\int_1^6 x \, dx = \left. \frac{x^2}{2} \right|_1^6 = \frac{6^2}{2} - \frac{1^2}{2} = \frac{36}{2} - \frac{1}{2} = \frac{35}{2} = 17.5$ - $3! = 3 \times 2 \times 1 = 6$ - $\frac{5\pi}{5} = \pi \approx 3.1416$ - $\frac{11}{14} \approx 0.7857$ - $\log_3(3) = 1$ (since $3^1 = 3$) - $\infty$ (infinity, the largest) 3. **List all values:** $$\left\{ 6, 20.0855, 2.6458, 17.5, 6, 3.1416, 0.7857, 1, \infty \right\}$$ 4. **Order from least to greatest:** $$0.7857 < 1 < 2.6458 < 3.1416 < 6 = 6 < 17.5 < 20.0855 < \infty$$ 5. **Final ordered list with original expressions:** - $\frac{11}{14} \approx 0.7857$ - $\log_3(3) = 1$ - $\sqrt{7} \approx 2.6458$ - $\frac{5\pi}{5} = \pi \approx 3.1416$ - $\sum_{i=1}^3 i = 6$ - $3! = 6$ - $\int_1^6 x \, dx = 17.5$ - $e^3 \approx 20.0855$ - $\infty$ This completes the ordering from least to greatest.