To simplify the expression \( 52.4 - 5.7 - 3.45 - 1.75 \), we will follow a step-by-step approach to ensure clarity and accuracy. ### Step 1: Understand the Expression The expression consists of a starting value of \( 52.4 \) from which we will subtract three other values: \( 5.7 \), \( 3.45 \), and \( 1.75 \). ### Step 2: Perform the Subtractions Sequentially We will subtract each number one at a time from the initial value. #### First Subtraction 1. Start with \( 52.4 \). 2. Subtract \( 5.7 \): \[ 52.4 - 5.7 = 46.7 \] #### Second Subtraction 3. Now take the result \( 46.7 \) and subtract \( 3.45 \): \[ 46.7 - 3.45 = 43.25 \] #### Third Subtraction 4. Finally, subtract \( 1.75 \) from \( 43.25 \): \[ 43.25 - 1.75 = 41.5 \] ### Final Result After performing all the subtractions, we find that: \[ 52.4 - 5.7 - 3.45 - 1.75 = 41.5 \] ### Conclusion The correct answer is **B. 41.5**. ### Explanation of Other Options - **Option A: 41.4** - This option is incorrect because it suggests that the total after the subtractions is slightly less than the correct answer. This could arise from a miscalculation in one of the steps. - **Option C: 42.1** - This option is also incorrect. It indicates a value that is higher than the correct answer, which may result from an error in the subtraction process. - **Option D: 42.2** - This option is incorrect as well. Similar to option C, it suggests a value that is too high, indicating a miscalculation. ### Common Pitfalls - **Misalignment of Decimal Points**: When performing subtraction with decimals, ensure that the decimal points are aligned correctly to avoid errors. - **Rounding Errors**: Be careful not to round numbers prematurely during calculations, as this can lead to inaccuracies in the final result. - **Skipping Steps**: It’s important to perform each subtraction step-by-step rather than trying to do it all at once, which can lead to mistakes. ### Revision Summary - Start with the initial value and subtract each number sequentially. - Align decimal points correctly to avoid miscalculations. - Double-check each step to ensure accuracy. - The final answer for \( 52.4 - 5.7 - 3.45 - 1.75 \) is **41.5** (Option B).