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Bunuel
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can someone link similar questions -- changing up arithmetic options / long division / etc like this is one of my weakness areas
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I've revised the question and solution, incorporating additional details for improved clarity. I trust this makes it more comprehensible.
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Hi,

I dont understand why cant we consider .001 as negligible here? In some previous questions we have.
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Hi,

I dont understand why cant we consider .001 as negligible here? In some previous questions we have.
We cannot drop 0.001 here because the answer choices are very close to each other, so even a small change matters. When we expand (10 + 0.001)^2, the 0.001 gets multiplied by both 10 and 2, producing 0.02, which is not negligible. Only the 0.001^2 term (0.000001) can be ignored.

Whether something is negligible depends on how it combines with larger numbers, sometimes it stays tiny, sometimes it gets scaled into something significant.
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I like the solution - it’s helpful.
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