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\begin{tabular}{l} 2UESTION 1 (Whole Numbers: Add, Subtract, Multiply \& Divide) \\ \begin{tabular}{|l} Calculate the following using the Column Method \\ \hline \( 27835+32132 \) \\ \hline \( 457834-325613 \) \\ \( 14815 \times 38 \) \\ \hline\end{tabular} \\ \hline Calculate the following using any method \\ \hline 2642\end{tabular}

Ask by Rose Knight. in South Africa
Mar 12,2025

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Here are the answers: 1. \( 27835 + 32132 = 59967 \) 2. \( 457834 - 325613 = 132221 \) 3. \( 14815 \times 38 = 562970 \) 4. \( 2642 = 2642 \)

Solution

Let's solve the problems step by step. ### Problem 1: Addition Calculate \( 27835 + 32132 \) using the column method. ``` 27835 + 32132 -------- ``` Align the numbers by their rightmost digits and add each column from right to left: 1. **Units place**: \( 5 + 2 = 7 \) 2. **Tens place**: \( 3 + 3 = 6 \) 3. **Hundreds place**: \( 8 + 1 = 9 \) 4. **Thousands place**: \( 7 + 2 = 9 \) 5. **Ten-thousands place**: \( 2 + 3 = 5 \) So, the result is: \[ 27835 + 32132 = 59967 \] ### Problem 2: Subtraction Calculate \( 457834 - 325613 \) using the column method. ``` 457834 - 325613 -------- ``` Align the numbers and subtract each column from right to left: 1. **Units place**: \( 4 - 3 = 1 \) 2. **Tens place**: \( 3 - 1 = 2 \) 3. **Hundreds place**: \( 8 - 6 = 2 \) 4. **Thousands place**: \( 7 - 5 = 2 \) 5. **Ten-thousands place**: \( 5 - 2 = 3 \) 6. **Hundred-thousands place**: \( 4 - 3 = 1 \) So, the result is: \[ 457834 - 325613 = 132221 \] ### Problem 3: Multiplication Calculate \( 14815 \times 38 \) using any method. We can break it down as follows: \[ 14815 \times 38 = 14815 \times (30 + 8) = 14815 \times 30 + 14815 \times 8 \] Calculating each part: 1. \( 14815 \times 30 = 444450 \) 2. \( 14815 \times 8 = 118520 \) Now, add these two results: \[ 444450 + 118520 = 562970 \] So, the result is: \[ 14815 \times 38 = 562970 \] ### Problem 4: Division Calculate \( 2642 \) using any method. Since no specific operation is mentioned, we can simply state the number: \[ 2642 \] ### Summary of Results 1. \( 27835 + 32132 = 59967 \) 2. \( 457834 - 325613 = 132221 \) 3. \( 14815 \times 38 = 562970 \) 4. \( 2642 = 2642 \) These are the final answers for each calculation.

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When using the Column Method for addition, ensure to align the numbers by their rightmost digits. For \( 27835 + 32132 \), start by adding the digits from the right to the left: 5 + 2 = 7, carry over any necessary values as you progress to the left. The final answer will be \( 59967 \). For subtraction, when calculating \( 457834 - 325613 \), line up the numbers carefully. You'll need to borrow from the next column if subtracting a larger digit, leading to \( 132221 \) as the result. Now, for multiplication, take \( 14815 \times 38 \) step-by-step. Break it down into smaller multiplications: \( 14815 \times 30 \) and \( 14815 \times 8 \), and then add the results together to get \( 562870 \). Lastly, for the division question, calculating \( 2642 \div 2 \) gives you \( 1321 \). The key in all these operations is to maintain organization and keep track of any carries or borrows!

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