\begin{tabular}{|l|l|l|}\hline \( 45,541-25,865 \) \\ -\begin{tabular}{lllll}2 & 5 & 8 & 6 & 5 \\ 4 & 5 & 5 & 4 & 1 \\ 2 & 0 & 3 & 2 & 4 \\ \hline\end{tabular} \\ Rosie's workings \\ Explain the mistakes that Rosie \end{tabular}

To analyze Rosie's workings and identify any mistakes, we first need to perform the subtraction \( 45,541 - 25,865 \) step by step. ### Step 1: Perform the Subtraction Let's break down the subtraction: ``` 45,541 - 25,865 __________ ``` ### Step 2: Subtract Digit by Digit 1. **Units Place**: \( 1 - 5 \) - We cannot subtract 5 from 1, so we need to borrow 1 from the tens place. - The 4 in the tens place becomes 3, and the 1 becomes 11. - Now, \( 11 - 5 = 6 \). 2. **Tens Place**: \( 3 - 6 \) - Again, we cannot subtract 6 from 3, so we need to borrow 1 from the hundreds place. - The 5 in the hundreds place becomes 4, and the 3 becomes 13. - Now, \( 13 - 6 = 7 \). 3. **Hundreds Place**: \( 4 - 8 \) - We cannot subtract 8 from 4, so we need to borrow 1 from the thousands place. - The 5 in the thousands place becomes 4, and the 4 becomes 14. - Now, \( 14 - 8 = 6 \). 4. **Thousands Place**: \( 4 - 5 \) - We cannot subtract 5 from 4, so we need to borrow 1 from the ten-thousands place. - The 4 in the ten-thousands place becomes 3, and the 4 becomes 14. - Now, \( 14 - 5 = 9 \). 5. **Ten-Thousands Place**: \( 3 - 2 = 1 \). ### Step 3: Combine the Results Putting it all together, we have: ``` 45,541 - 25,865 __________ 19,676 ``` ### Step 4: Analyze Rosie's Workings Now, let's analyze the table provided in Rosie's workings: ``` 2 & 5 & 8 & 6 & 5 4 & 5 & 5 & 4 & 1 2 & 0 & 3 & 2 & 4 ``` This table does not seem to correspond to the subtraction process we just performed. It appears to be a collection of numbers that do not relate to the subtraction of \( 45,541 - 25,865 \). ### Mistakes Identified 1. **Incorrect Borrowing**: If Rosie attempted to borrow incorrectly, it could lead to wrong digits in the final answer. 2. **Misalignment of Numbers**: The numbers in the table do not represent the digits involved in the subtraction, indicating a misunderstanding of the subtraction process. 3. **Final Result**: If Rosie arrived at a different final result, it would be due to the above mistakes. ### Conclusion Rosie's workings do not reflect the correct process for subtracting \( 45,541 - 25,865 \). The correct answer is \( 19,676 \), and the mistakes likely stem from incorrect borrowing and misalignment of the digits.