There are infinitely many rational numbers between 0.5 and 1
In decimal form, you could try 0.51, 0.52, 0.53 etc
and then 0.501, 0.502, 0.503, ...
and 0.5001, 0.5002, ...
and 0.50001, ...
and so on.
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No, there are more irrational numbers between 1 and 2 than there are rational numbers.
No, not at all. There are more irrational numbers between 1 and 2 than there are rational numbers in total!
There are an infinite number of rational numbers between any two given numbers.
There are an infinite amount of rational numbers between 0 and 1.
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