1. **State the problem:** Convert $3$ dam and $264$ dm into centimeters (cm). 2. **Recall the conversion factors:** - $1$ dam (decameter) = $10$ m - $1$ dm (decimeter) = $0.1$ m - $1$ m = $100$ cm 3. **Convert each unit to centimeters:** - Convert $3$ dam to cm: $$3 \text{ dam} = 3 \times 10 \text{ m} = 30 \text{ m}$$ $$30 \text{ m} = 30 \times 100 \text{ cm} = 3000 \text{ cm}$$ - Convert $264$ dm to cm: $$264 \text{ dm} = 264 \times 0.1 \text{ m} = 26.4 \text{ m}$$ $$26.4 \text{ m} = 26.4 \times 100 \text{ cm} = 2640 \text{ cm}$$ 4. **Add the two results to get total cm:** $$3000 \text{ cm} + 2640 \text{ cm} = 5640 \text{ cm}$$ 5. **Final answer:** $$3 \text{ dam} - 264 \text{ dm} = 5640 \text{ cm}$$