Alan is showing his work and simplifying -8.3+9.2-4.4+3.7 identify and explain any errors in his work or in his reasoning right feedback to Allen’s explain in the mistake he made, and how to correct his work.
There are no errors in Alan's work. He correctly simplified the expression -8.3 + 9.2 - 4.4 + 3.7. However, without a specific explanation or reasoning provided by Alan, it is difficult to identify any errors in his reasoning or work. As such, it is not possible to provide feedback to correct his work in this scenario.
In Alan's work, he is simplifying the expression -8.3 + 9.2 - 4.4 + 3.7. However, it appears that there is an error in his reasoning.
Alan's mistake seems to be that he did not correctly combine like terms.
To correct his work, Alan should combine the numbers with the same sign.
Here's a step-by-step breakdown of the correct simplification:
1. Combine the positive numbers: 9.2 + 3.7 = 12.9
2. Combine the negative numbers: -8.3 - 4.4 = -12.7
3. Add the combined positive and negative numbers: 12.9 + (-12.7) = 0.2
Therefore, the correct simplification of the expression -8.3 + 9.2 - 4.4 + 3.7 is 0.2.
Alan should review his work and ensure that he properly combine terms with the same sign.
To identify any errors in Alan's work, let's follow his steps and simplify the expression:
Alan's work: -8.3 + 9.2 - 4.4 + 3.7
Step 1: Combine -8.3 and 9.2: -8.3 + 9.2 = 0.9
Step 2: Add -4.4 to 0.9: 0.9 - 4.4 = -3.5
Step 3: Add 3.7 to -3.5: -3.5 + 3.7 = 0.2
Based on Alan's work, he arrived at the final answer of 0.2. However, there appears to be a mistake in his reasoning.
The error lies in Step 1, where he combined -8.3 and 9.2 and obtained 0.9. This is incorrect. When adding a negative number to a positive number, we subtract the absolute value of the smaller number from the absolute value of the larger number, and the sign is determined by the larger number.
To correct Alan's mistake, let's redo Step 1:
Corrected Step 1: Subtract the absolute value of 9.2 from the absolute value of -8.3.
The absolute value of -8.3 is 8.3, and the absolute value of 9.2 is 9.2.
Since 9.2 is larger than 8.3, we subtract 8.3 from 9.2 and keep the sign of 9.2, which is positive.
Corrected Step 1: 9.2 - 8.3 = 0.9
Now, let's continue with the remaining steps:
Step 2: Add -4.4 to 0.9: -4.4 + 0.9 = -3.5
Step 3: Add 3.7 to -3.5: 3.7 + (-3.5) = 0.2
Therefore, the correct answer is 0.2.
In summary, Alan's mistake was in Step 1. He incorrectly combined -8.3 and 9.2. To correct his work, he should subtract the absolute value of -8.3 from the absolute value of 9.2 and keep the sign of the larger number.