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The only mathematical difference is that the set of integers (excluding 0), with two exceptions, does not have inverses whereas the set of rational numbers (excluding 0) does. This is equivalent to the statement that the set of non-zero integers is not closed under division whereas the set of non-zero rationals is.
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What is the relationship between integers and rational numbers?
The set of integers is a proper subset of the set of rational numbers.
What is Difference between a rational number and irrational number?
A rational number can be expressed as a ratio in the form, p/q, where p and q are integers and q > 0.
Is it possible to count the number of rational numbers there are between any two integers?
No. There are infinitely many rational numbers between any two integers.
What is the difference between an irrational number and a rational numbers?
A rational number can be expressed as a ratio of two integers, p/q where q > 0. An irrational number cannot be expressed in such a way.
What is the difference between a rational number that is not an integer and a rational number that is an integer?
When expressed as a ratio of two integers (not intergers!), the simplest form for the integer but not others, has 1 as the denominator.
