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Q: How do you find the rational numbers smaller than 2?
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How do you order rational numbers between two consecutive integers?

Subtract rational number A from the other rational number B. If the answer is> 0 then B is bigger than A= 0 then B is equal to A< 0 then B is smaller than A


Is the set of rational numbers is larger than the set of integers?

Yes, rational numbers are larger than integer because integers are part of rational numbers.


What is greater zero or any positive rational number?

There is no simple answer:Zero is smaller than any positive number.Zero can be larger or smaller than a rational number.A rational number can be larger or smaller than a positive number.


When you multiply two rational numbers will you always get a number that is smaller than the two factors?

No. A rational number is ANY number that can be represented as one integer over a second integer (which cannot be zero). There is no requirement that the top integer is less than the bottom integer (an improper fraction is still a rational number - all integers are rational numbers as they can be represented as an improper fraction with a 1 as the denominator). Only if both rational numbers are less than 1 will the result of multiplying them together be less than both of them. If one rational number is greater than 1 and the other less than 1, then the result of multiplying them together is greater than the number less than 1 and less than the number greater than 1. If both rational numbers are greater than 1, then the result of multiplying them together is greater than both of them.


What is the smallest digit that's common in all subsets of the rational numbers?

There is no such number. The empty set is a subset of rational numbers and, by definition, it contains no numbers so nothing that can be common to any other subset.Alternatively, all rational numbers less than -1 and all rational numbers greater than 1 are subsets of rational numbers. There is no number common to them.