Divide By Powers C3Cc3E

1. Problem: Divide $14.3$ by $10$, $100$, and $1000$. 2. Formula: Dividing by powers of $10$ shifts the decimal point to the left by the number of zeros in the divisor. 3. Step-by-step solutions: (a) $14.3 \div 10$ Move decimal 1 place left: $$14.3 = 1\cancel{4}.3 \to 1.43$$ So, $14.3 \div 10 = 1.43$ (b) $14.3 \div 100$ Move decimal 2 places left: $$14.3 = \cancel{1}4.3 \to 0.143$$ So, $14.3 \div 100 = 0.143$ (c) $14.3 \div 1000$ Move decimal 3 places left: $$14.3 = 0.0143$$ So, $14.3 \div 1000 = 0.0143$ Final answers: - $14.3 \div 10 = 1.43$ - $14.3 \div 100 = 0.143$ - $14.3 \div 1000 = 0.0143$