1. The problem is to convert 900 meters into other units of length using the given conversion facts. 2. The conversion formulas are: - $1000\text{ mm} = 1\text{ m}$ - $100\text{ cm} = 1\text{ m}$ - $10\text{ dm} = 1\text{ m}$ - $1\text{ dam} = 10\text{ m}$ - $1\text{ hm} = 100\text{ m}$ - $1\text{ km} = 1000\text{ m}$ 3. To convert meters to other units, multiply or divide by the appropriate factor: - To millimeters: $900\text{ m} \times 1000 = 900000\text{ mm}$ - To centimeters: $900\text{ m} \times 100 = 90000\text{ cm}$ - To decimeters: $900\text{ m} \times 10 = 9000\text{ dm}$ - To dekameters: $\frac{900}{10} = \cancel{\frac{900}{10}}90\text{ dam}$ - To hectometers: $\frac{900}{100} = \cancel{\frac{900}{100}}9\text{ hm}$ - To kilometers: $\frac{900}{1000} = \cancel{\frac{900}{1000}}0.9\text{ km}$ 4. Explanation: Multiplying by 1000, 100, or 10 converts meters to smaller units (mm, cm, dm) because these units are smaller than a meter. Dividing by 10, 100, or 1000 converts meters to larger units (dam, hm, km) because these units are larger than a meter. Final answers: - $900000\text{ mm}$ - $90000\text{ cm}$ - $9000\text{ dm}$ - $90\text{ dam}$ - $9\text{ hm}$ - $0.9\text{ km}$