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There are infinitely many decimal fractions between 1.5 and 1.6 - or indeed between any two numbers.For example, 1.52 is between 1.5 and 1.6

then 1.513 is between 1.5 and 1.52

and then 1.5126 is between 1.5 and 1.513.


I hope that you can see that this process can never end. Furthermore, you will see that the same argument also applies to 1.52 to 1.6 and all the other intervals that are created in this process.


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