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Earn +20 ptsQ: Interpreting similarities between rational and irrational numbers?
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What are the similarities between seven-tenths and seven-hundredths?
They are rational numbers between 0 and 1.
How dense is the decimal?
They are dense in that between any two decimals you have another one. A much better way to think of it is that a decimal must be either rational or irrational. For example, .34 is certainly rational, but the decimal expansion of square root of 2 goes on forever and is irrational. So a decimal, being either one, must be dense in the reals.
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