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Are all prime numbers rational numbers?
Yes.
What is the relationship between prime numbers and rational numbers?
All prime numbers are rational number because they can be expressed as 'top heavy' fractions as for example the prime number 3 as a fraction is 3/1
Are all prime numbers irrational?
No prime numbers are irrational: All prime numbers are integers, and all integers are rational, since they can be expressed as themselves divided by 1.
Rational numbers between 3 and 5?
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.
Why is important to study rational and whole numbers?
Because understanding rational and whole numbers and in particular prime numbers it is useful when finding the lowest common multiple or the highest common factor of numbers.
