Higher Inverse Order O(n) Explained

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terp.asessed
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What is higher inverse orders of n, as symbolized by O(n)? Please explain this to me---I am still confused even if googling it.
 
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O(n) would be "order of n". See "big O notation".
The "order" is the power of 10. So 1000 is order 3.

An inverse order would be the negative power of 10... but I need the context.