1. **State the problem:** We need to divide several decimal numbers by 10, 100, or 1000. 2. **Formula and rule:** Dividing a number by 10, 100, or 1000 moves the decimal point to the left by 1, 2, or 3 places respectively. 3. **Step-by-step solutions:** - $67.2 \div 10 = 6.72$ (move decimal 1 place left) - $8194.7 \div 10 = 819.47$ (move decimal 1 place left) - $4.6 \div 10 = 0.46$ (move decimal 1 place left) - $2.5 \div 100 = 0.025$ (move decimal 2 places left) - $96.3 \div 1000 = 0.0963$ (move decimal 3 places left) - $0.53 \div 10 = 0.053$ (move decimal 1 place left) - $9 \div 100 = 0.09$ (move decimal 2 places left) - $29 \div 100 = 0.29$ (move decimal 2 places left) - $762 \div 1000 = 0.762$ (move decimal 3 places left) 4. **Explanation:** Dividing by powers of 10 is straightforward because it shifts the decimal point to the left by the number of zeros in the divisor. This is a quick mental math technique. **Final answers:** $6.72, 819.47, 0.46, 0.025, 0.0963, 0.053, 0.09, 0.29, 0.762$