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I have a sentence which says,

2030年、日本が迎えるのはケタ外れの「ひとりさま社会」。

The dictionary says the word means; incredible, extraordinary, exceptional or phenomenal, but it doesn't really make sense when translated into English. What does ケタ外れ mean here? What does it imply?

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ケタ is 桁 which in this context can be understood as "standard/norm" or "reference frame" and 外れ means something like it "falls out of the reference frame" — like when people use 120%.

You can see how in some contexts this could be translated the way you listed (incredible, extraordinary, exceptional or phenomenal), but here it should probably be translated in a more neutral tone.

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    Do you think in this context, it could mean something close to “extreme compared to now”? I assume the author is saying that the number of people living alone is going to increase dramatically. – Halfway Dillitante Sep 3 at 0:49
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    Technically speaking, ケタ (桁) means "digit places" here. It comes from rods that hold beads in the abacus. So 桁外れ means that some amount has a different order of magnitude than others. – broccoli forest Sep 4 at 6:53

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