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There are infinitely many of them.
Some of them are given by:
- All numbers of the form 3n+1/n for n ∈ the prime numbers are rational numbers between 3 & 4, and as there are an infinite number of prime numbers, there are an infinite number of these.
- All numbers of the form 4n+1/n for n ∈ the prime numbers are rational numbers between 4 & 5, and as there are an infinite number of prime numbers, there are an infinite number of these.
There are still more than the infinitely many given above.
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Find any two rational numbers between -3 and 5?
-2.99999 and 4.99999
The difference between two different irrational numbers?
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
Is the difference between two rational numbers always an integer?
When you consider how many rational numbers there are, the difference between any two of them is hardly ever an integer. Examples: 5 - 4/5 = 41/5 5/6 - 2/3 = 1/6 3.274 - 1.368 = 1.906 All of the nine numbers in these examples are rational numbers.
Is an integer a rational or irrational number?
RationalThe set of integers is a subset of the set of rational numbers. A rational number can be expressed as the ratio, or fraction of two integers a/b. So 1/2, 2/3, 5/6, 22/7, are all rational numbers. Also 3/1, -5/1, 20/5 are rational numbers, which are also integers.
Is 3.4 a rational number between 3 and 4?
Yes, 3.4 is a rational number between 3 and 4: 3.4 is between 3 and 4, and 3.4 = 34/10 = 17/5 which is a rational number. The rational number midway between 3 and 4 is 3.5
