1. **State the problem:** We need to order the rational numbers 2.58, 2.62, \frac{5}{2}, and \frac{7}{3} from smallest to largest. 2. **Convert all numbers to decimals for easy comparison:** - 2.58 is already a decimal. - 2.62 is already a decimal. - \frac{5}{2} = 2.5 because dividing 5 by 2 gives 2.5. - \frac{7}{3} = \frac{7}{3} = 2.333\ldots (since 7 divided by 3 is approximately 2.333). 3. **List all numbers as decimals:** - 2.58 - 2.62 - 2.5 - 2.333\ldots 4. **Order the decimals from smallest to largest:** $$2.333\ldots < 2.5 < 2.58 < 2.62$$ 5. **Rewrite the order using the original forms:** $$\frac{7}{3} < \frac{5}{2} < 2.58 < 2.62$$ **Final answer:** The numbers ordered from smallest to largest are $$\frac{7}{3}, \frac{5}{2}, 2.58, 2.62.$$