Complete the pattern: \[ \begin{array}{l}0.9017 \div 10=\square \\ 90.17 \div 1,000=\square \\ 901.7 \div 10,000=\square \\ 9,017 \div 100,000=\square\end{array} \]

Sure, let's complete the pattern by calculating each division: 1. **\(0.9017 \div 10 = \square\)** \[ 0.9017 \div 10 = 0.09017 \] 2. **\(90.17 \div 1,000 = \square\)** \[ 90.17 \div 1,000 = 0.09017 \] 3. **\(901.7 \div 10,000 = \square\)** \[ 901.7 \div 10,000 = 0.09017 \] 4. **\(9,017 \div 100,000 = \square\)** \[ 9,017 \div 100,000 = 0.09017 \] **Completed Pattern:** \[ \begin{array}{l} 0.9017 \div 10 = 0.09017 \\ 90.17 \div 1,000 = 0.09017 \\ 901.7 \div 10,000 = 0.09017 \\ 9,017 \div 100,000 = 0.09017 \end{array} \] **Explanation of the Pattern:** Each numerator is \(0.9017\) multiplied by increasing powers of 10: - \(0.9017 \times 10^1 = 9.017\) - \(0.9017 \times 10^2 = 90.17\) - \(0.9017 \times 10^3 = 901.7\) - \(0.9017 \times 10^4 = 9,017\) Correspondingly, each denominator is \(10\) raised to successive powers: - \(10^1 = 10\) - \(10^3 = 1,000\) - \(10^4 = 10,000\) - \(10^5 = 100,000\) When you divide the numerator by the denominator, the result consistently simplifies back to \(0.09017\).