Choose all of the rational numbers. \[ \square \frac{-5}{0} \quad \square \frac{0}{0} \quad \square 0.11 \overline{1} \quad \square \frac{0}{-10} \quad \square \sqrt{2} \quad \square \frac{2}{-2} \quad \square \sqrt{36} \]

Let's take a look at which of these numbers are rational: 1. \(\frac{-5}{0}\) is **undefined**, so it isn't rational. 2. \(\frac{0}{0}\) is also **undefined**, so it isn't rational either. 3. \(0.11\overline{1}\) is a **repeating decimal** (equivalent to the fraction \(\frac{1}{9}\)), so it is rational. 4. \(\frac{0}{-10} = 0\), which is a rational number. 5. \(\sqrt{2}\) is an **irrational number**, so it isn't rational. 6. \(\frac{2}{-2} = -1\), which is a rational number. 7. \(\sqrt{36} = 6\), which is also a rational number. So, the rational numbers among your selections are: - \(0.11\overline{1}\) - \(\frac{0}{-10}\) - \(\frac{2}{-2}\) - \(\sqrt{36}\) Hence, the complete list of rational numbers from the provided options is: \[ \square 0.11\overline{1} \quad \square \frac{0}{-10} \quad \square \frac{2}{-2} \quad \square \sqrt{36} \]