Question
Audrey used compensation to mentally solve the subtraction problem. What is the final step needed to complete
Answers
GPT-4o mini
To use compensation to mentally solve a subtraction problem, Audrey would typically adjust one of the numbers involved to make the calculation easier. Here are the general steps involved:
1. **Compensate**: Adjust one of the numbers to a simpler form. For example, if you are solving \( 52 - 27 \), you could adjust \( 27 \) to \( 30 \), which is easier to work with.
2. **Calculate the difference using the adjusted number**: After adjusting, perform the subtraction with the simpler number. For our example, you would do \( 52 - 30 = 22 \).
3. **Adjust back for the compensation**: Finally, you would need to account for the adjustment you made in step 1. Since you subtracted \( 3 \) (because \( 30 - 27 = 3 \)), you must add that \( 3 \) back to your result from step 2.
So in the example of \( 52 - 27 \):
- You first calculated \( 52 - 30 = 22 \).
- Then you adjusted back by adding \( 3 \): \( 22 + 3 = 25 \).
The final answer to the problem \( 52 - 27, \) using compensation, is \( 25 \).
**Final Step**: Add back the amount you compensated in the first step.
1. **Compensate**: Adjust one of the numbers to a simpler form. For example, if you are solving \( 52 - 27 \), you could adjust \( 27 \) to \( 30 \), which is easier to work with.
2. **Calculate the difference using the adjusted number**: After adjusting, perform the subtraction with the simpler number. For our example, you would do \( 52 - 30 = 22 \).
3. **Adjust back for the compensation**: Finally, you would need to account for the adjustment you made in step 1. Since you subtracted \( 3 \) (because \( 30 - 27 = 3 \)), you must add that \( 3 \) back to your result from step 2.
So in the example of \( 52 - 27 \):
- You first calculated \( 52 - 30 = 22 \).
- Then you adjusted back by adding \( 3 \): \( 22 + 3 = 25 \).
The final answer to the problem \( 52 - 27, \) using compensation, is \( 25 \).
**Final Step**: Add back the amount you compensated in the first step.