CLASSWORK Calculate the following without using a calculator by writing it in columns. \[ \begin{array}{l} 192643+4125622+89+716345 \\ 49876+501234-212874 \\ 6934 \times 34 \\ 9549 \div 36 \\ 3227 \div 25 \end{array} \]

Sure! Let's solve each of these problems step-by-step using column methods. --- ### **1. \(192,\!643 + 4,\!125,\!622 + 89 + 716,\!345\)** **Step-by-Step Addition:** ``` 4,125,622 716,345 192,643 89 +------------ 5,034,699 ``` **Explanation:** 1. **Add the units:** \(2 + 5 + 3 + 9 = 19\) → Write down **9**, carry over **1**. 2. **Add the tens:** \(2 + 4 + 4 + 8 + 1 (carry) = 19\) → Write down **9**, carry over **1**. 3. **Continue this process for each column:** ``` 4,125,622 716,345 192,643 89 +------------ 5,034,699 ``` **Final Answer:** \(192,\!643 + 4,\!125,\!622 + 89 + 716,\!345 = 5,\!034,\!699\) --- ### **2. \(49,\!876 + 501,\!234 - 212,\!874\)** **Step-by-Step Calculation:** 1. **First Addition:** ``` 501,234 49,876 +--------- 551,110 ``` 2. **Then Subtract:** ``` 551,110 - 212,874 +--------- 338,236 ``` **Final Answer:** \(49,\!876 + 501,\!234 - 212,\!874 = 338,\!236\) --- ### **3. \(6,\!934 \times 34\)** **Step-by-Step Multiplication:** ``` 6,934 × 34 ------- 27,736 (6,934 × 4) +208,020 (6,934 × 30) ------- 235,756 ``` **Explanation:** 1. **Multiply by 4:** \(6,\!934 × 4 = 27,\!736\) 2. **Multiply by 30:** \(6,\!934 × 30 = 208,\!020\) 3. **Add the two results:** \(27,\!736 + 208,\!020 = 235,\!756\) **Final Answer:** \(6,\!934 \times 34 = 235,\!756\) --- ### **4. \(9,\!549 \div 36\)** **Step-by-Step Division:** ``` 265.25 ---------- 36 | 9,549.00 7,200 (36 × 200) ------- 2,349 2,160 (36 × 60) ------- 189 180 (36 × 5) ------- 9 9 (36 × 0.25) ------- 0 ``` **Explanation:** 1. **Divide 9,549 by 36:** - \(36 × 265 = 9,540\) - Remainder: \(9,549 - 9,540 = 9\) 2. **Convert the remainder to decimal:** - \(9 ÷ 36 = 0.25\) 3. **Combine the results:** - \(265 + 0.25 = 265.25\) **Final Answer:** \(9,\!549 \div 36 = 265.25\) --- ### **5. \(3,\!227 \div 25\)** **Step-by-Step Division:** ``` 129.08 ---------- 25 | 3,227.00 2,50 ----- 77 75 ----- 2 2,5 ----- 25 25 ------- 0 ``` **Explanation:** 1. **Divide 3,227 by 25:** - \(25 × 129 = 3,225\) - Remainder: \(3,227 - 3,225 = 2\) 2. **Convert the remainder to decimal:** - \(2 ÷ 25 = 0.08\) 3. **Combine the results:** - \(129 + 0.08 = 129.08\) **Final Answer:** \(3,\!227 \div 25 = 129.08\) --- I hope this helps with your classwork! If you have any more questions, feel free to ask.