Round the following answers off to a decimal places. \( \begin{array}{ll}\text { (a) } \sqrt{8} & \text { (b) } \frac{3}{9} \\ \text { c) } 2 \div 7 & \text { (d) } \sqrt[3]{96} \\ \text { e) } 58 \div 89 & \text { () } \sqrt{77} \\ \text { g) } 83 \div 11 & \text { (h) } \frac{15}{23} \\ \text { i) } \sqrt[3]{72} & \text { i) } 14 \div 99\end{array} \)

Round the number by following steps: - step0: Round \(\sqrt{77}\) to \(2\) decimal places using standard rounding method: \(\sqrt{77}\) - step1: Rewrite in decimal: \(8.774964\) - step2: Round \(8.774964\) to \(2\) decimal places using standard rounding method\(:\) \(8.77\) Round the number \( 58 \div 89 \) into 2 decimal places. Round the number by following steps: - step0: Round \(58 \div 89\) to \(2\) decimal places using standard rounding method: \(58 \div 89\) - step1: Evaluate: \(58\div 89\) - step2: Rewrite the expression: \(\frac{58}{89}\) - step3: Rewrite in decimal: \(0.651685\) - step4: Round \(0.651685\) to \(2\) decimal places using standard rounding method\(:\) \(0.65\) Round the number \( 14 \div 99 \) into 2 decimal places. Round the number by following steps: - step0: Round \(14 \div 99\) to \(2\) decimal places using standard rounding method: \(14 \div 99\) - step1: Evaluate: \(14\div 99\) - step2: Rewrite the expression: \(\frac{14}{99}\) - step3: Rewrite in decimal: \(0.141414\) - step4: Round \(0.141414\) to \(2\) decimal places using standard rounding method\(:\) \(0.14\) Round the number \( \frac{15}{23} \) into 2 decimal places. Round the number by following steps: - step0: Round \(\frac{15}{23}\) to \(2\) decimal places using standard rounding method: \(\frac{15}{23}\) - step1: Rewrite in decimal: \(0.652174\) - step2: Round \(0.652174\) to \(2\) decimal places using standard rounding method\(:\) \(0.65\) Round the number \( \sqrt{8} \) into 2 decimal places. Round the number by following steps: - step0: Round \(\sqrt{8}\) to \(2\) decimal places using standard rounding method: \(\sqrt{8}\) - step1: Write as a product: \(\sqrt{4\times 2}\) - step2: Write in exponential form: \(\sqrt{2^{2}\times 2}\) - step3: Use the properties of radicals: \(\sqrt{2^{2}}\times \sqrt{2}\) - step4: Simplify the root: \(2\sqrt{2}\) - step5: Rewrite in decimal: \(2.828427\) - step6: Round \(2.828427\) to \(2\) decimal places using standard rounding method\(:\) \(2.83\) Round the number \( \frac{3}{9} \) into 2 decimal places. Round the number by following steps: - step0: Round \(\frac{3}{9}\) to \(2\) decimal places using standard rounding method: \(\frac{3}{9}\) - step1: Reduce the fraction: \(\frac{1}{3}\) - step2: Rewrite in decimal: \(0.333333\) - step3: Round \(0.333333\) to \(2\) decimal places using standard rounding method\(:\) \(0.33\) Round the number \( 83 \div 11 \) into 2 decimal places. Round the number by following steps: - step0: Round \(83 \div 11\) to \(2\) decimal places using standard rounding method: \(83 \div 11\) - step1: Evaluate: \(83\div 11\) - step2: Rewrite the expression: \(\frac{83}{11}\) - step3: Rewrite in decimal: \(7.545455\) - step4: Round \(7.545455\) to \(2\) decimal places using standard rounding method\(:\) \(7.55\) Round the number \( 2 \div 7 \) into 2 decimal places. Round the number by following steps: - step0: Round \(2 \div 7\) to \(2\) decimal places using standard rounding method: \(2 \div 7\) - step1: Evaluate: \(2\div 7\) - step2: Rewrite the expression: \(\frac{2}{7}\) - step3: Rewrite in decimal: \(0.285714\) - step4: Round \(0.285714\) to \(2\) decimal places using standard rounding method\(:\) \(0.29\) Round the number \( \sqrt[3]{72} \) into 2 decimal places. Round the number by following steps: - step0: Round \(\sqrt[3]{72}\) to \(2\) decimal places using standard rounding method: \(\sqrt[3]{72}\) - step1: Write as a product: \(\sqrt[3]{8\times 9}\) - step2: Write in exponential form: \(\sqrt[3]{2^{3}\times 9}\) - step3: Use the properties of radicals: \(\sqrt[3]{2^{3}}\times \sqrt[3]{9}\) - step4: Simplify the root: \(2\sqrt[3]{9}\) - step5: Rewrite in decimal: \(4.160168\) - step6: Round \(4.160168\) to \(2\) decimal places using standard rounding method\(:\) \(4.16\) Round the number \( \sqrt[3]{96} \) into 2 decimal places. Round the number by following steps: - step0: Round \(\sqrt[3]{96}\) to \(2\) decimal places using standard rounding method: \(\sqrt[3]{96}\) - step1: Write as a product: \(\sqrt[3]{8\times 12}\) - step2: Write in exponential form: \(\sqrt[3]{2^{3}\times 12}\) - step3: Use the properties of radicals: \(\sqrt[3]{2^{3}}\times \sqrt[3]{12}\) - step4: Simplify the root: \(2\sqrt[3]{12}\) - step5: Rewrite in decimal: \(4.578857\) - step6: Round \(4.578857\) to \(2\) decimal places using standard rounding method\(:\) \(4.58\) Here are the rounded answers to two decimal places: \[ \begin{array}{ll} \text{(a) } \sqrt{8} & \approx 2.83 \\ \text{(b) } \frac{3}{9} & \approx 0.33 \\ \text{(c) } 2 \div 7 & \approx 0.29 \\ \text{(d) } \sqrt[3]{96} & \approx 4.58 \\ \text{(e) } 58 \div 89 & \approx 0.65 \\ \text{(f) } \sqrt{77} & \approx 8.77 \\ \text{(g) } 83 \div 11 & \approx 7.55 \\ \text{(h) } \frac{15}{23} & \approx 0.65 \\ \text{(i) } \sqrt[3]{72} & \approx 4.16 \\ \text{(j) } 14 \div 99 & \approx 0.14 \\ \end{array} \]