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There is an infinity of numbers between them.
One way to see this is to consider just the integers between 630 and 640. Divide them by 100 so that they are all between 6.3 and 6.4

Then try again with integers between 6300 and 6400, divided by 1000. And so on.

And you haven't even started on Irrational Numbers - which, as it happens, are more numerous than the rationals.

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14y ago
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Q: What number is between 6.3 6.4?
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