The Correct Answer and Explanation is:
Based on the addition problems shown in the image, here are the correct answers and a detailed explanation.
Correct Answers:
- The sum for the first column is 64,028.43.
- The sum for the second column is 54,577.43.
Explanation
The image displays two separate addition problems that require finding the sum of two lists of decimal numbers. To solve these correctly, one must use the method of column addition, paying careful attention to the decimal points.
The most critical first step is to align all the numbers vertically so that their decimal points form a straight line. This alignment ensures that digits with the same place value, for example, all the hundredths, all the tenths, all the ones, and so on, are properly lined up in their respective columns. This organization is essential to prevent errors and arrive at the correct total.
The calculation process starts from the rightmost column, which is the hundredths place. For the first list of numbers, you add all the digits in this column. This sum is 53. You write down the last digit, 3, in the hundredths place of the answer and carry over the 5 to the next column to the left, the tenths place. This “carrying over” technique is applied whenever a column’s sum is a two-digit number. You then add all the digits in the tenths column, including the 5 that was carried over. This sum is 54. You write down the 4 and carry over the 5 to the ones place. This systematic procedure is repeated for every column, moving from right to left through the ones, tens, hundreds, and thousands places. Following this method precisely for the first list results in the final sum of 64,028.43.
The exact same operation is performed for the second list of numbers. After aligning them by their decimal points, the addition begins again from the hundredths column on the far right. The sum of this column is 53, so you record the 3 and carry the 5. This process is consistently applied across all subsequent columns, yielding the final sum of 54,577.43.