1. The problem is to compare and understand the numbers given in different forms: decimal, mixed fraction, and improper fraction. 2. First, convert all numbers to a common form for easy comparison. Let's convert the mixed fraction and improper fraction to decimals. 3. Convert the mixed fraction $8 \frac{7}{8}$ to decimal: $$8 + \frac{7}{8} = 8 + 0.875 = 8.875$$ 4. Convert the improper fraction $\frac{89}{10}$ to decimal: $$\frac{89}{10} = 8.9$$ 5. Now we have the three numbers as decimals: - $9.85$ - $8.875$ - $8.9$ 6. To compare: $$8.875 < 8.9 < 9.85$$ 7. So, in ascending order, the numbers are: $$8 \frac{7}{8} < \frac{89}{10} < 9.85$$ This shows how to convert fractions to decimals and compare numbers easily.