Let's evaluate the expression step-by-step:
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Convert \(2 \frac{1}{10}\) to an improper fraction or decimal:
- \(2 \frac{1}{10} = 2 + 0.1 = 2.1\)
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Now, calculate \(-8.13\) divided by \(2.1\): \[ -8.13 \div 2.1 = -3.87 \]
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Next, add \(12\) to \(-3.87\): \[ -3.87 + 12 = 8.13 \]
So the correct result of the expression \(-8.13 \div 2 \frac{1}{10} + 12\) is \(8.13\).
Now let's evaluate George's answer of \(8.88\) and see if it is reasonable:
- Rounding \(-8.13\) gives us approximately \(-8\).
- Rounding \(2.1\) gives us approximately \(2\).
- Now, calculate: \[ -8 \div 2 = -4 \]
- Then, add \(12\): \[ -4 + 12 = 8 \]
We can conclude that rounding gives an estimated final answer of \(8\).
Now let's analyze the answer choices based on the actual operations:
- George's answer, \(8.88\), rounds to \(9\).
- Our computed rounded final answer is \(8\).
Thus, we find that George's answer is not consistent with the correct rounding and should be seen as unreasonable given the calculation.
Now we compare this with the provided options:
- A: Since -8.13 rounds to -8 and 2 1/10 rounds to 2, the final answer rounds to 8. His answer of 8.88 rounds to 9. So, it is not reasonable.
This aligns with our evaluation, as the final answer rounds to \(8\) while George's rounded answer is \(9\).
Therefore, the right choice is A.
1 answer