is 7.1234532796 a irrational number between 7.1/ and 7.8/
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All decimal fractions, such as those who are terminating like 7.1 can be represented on real number line and hence they are real numbers. In fact non-terminating but repeating can be expressed as a fraction (i.e. they are rational numbers) and can also represented on real number line and hence are real numbers.
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