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What are subsets of rational numbers?
There are an infinite number of subsets: All rationals other than 1 All rationals other than 2, etc All rationals other than 1.1 All rationals other than 2.1, etc, etc. All integers
Is fraction the densest subset of real numbers?
No. Fractions do not include irrational numbers. And although there are an infinite number of both rationals and irrationals, there are far more irrational numbers than rationals.
How many rational numbers are there between 1 and 6?
There are an infinite number of rationals between 1 and 6.
Between which two rational numbers does the square root of 85 lie?
It is not possible to answer this question sensibly, since rational numbers form a continuum. So for any pair of rational numbers surrounding sqrt(85), it is possible to give another pair of rationals that surrounds it but such that the rationals are closer together. And this sequence is infinite.
Can you multiply two rationals?
yes
