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"on the order of" is not synonymous with "approximately"

"on the order of" 1000000 means any number from 1000001 through 9999999

I would expect "approximately" to mean accurate to within the next order of magnitude down. e.g. I would expect "approximately 500000" to mean a range of 400000 to 600000; maybe 350000 to 650000 if you're stretching it.



> "on the order of" 1000000 means any number from 1000001 through 9999999

Not exactly. It can also mean anything from 500,000 to 4,999,999, or 316,228 to 3,162,277...

See https://en.m.wikipedia.org/wiki/Order_of_magnitude

But yeah, it doesn't mean approximately




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