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There are an infinite number of them. You can form any of them like this:
-- Write a fraction bar.
-- Under the fraction bar, write any whole number at all.
-- Above the fraction bar, write any whole number that's larger than
(4 x the bottom number) but less than (5 x the bottom number).
-- The value of the fraction is a rational number that's between 4 and 5 .
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ViviThere are actually infinite numbers that are between 4 and 5. Because, there are decimals. Ex. 4.6, 4.125, 4.9, etc. So, there is infinity of numbers that can be in the middle of 4 and 5.
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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.
How many rational numbers can be put between 2 and7?
There are an infinite number of rational numbers between any two rational numbers. And 2 and 7 are rational numbers. Here's an example. Take 2 and 7 and find the number halfway between them: (2 + 7)/2 = 9/2, which is rational. Then you can take 9/2 and 2 and find a rational number halfway: 2 + 9/2 = 13/2, then divide by 2 = 13/4. No matter how close the rational numbers become, you can add them together and divide by 2, and the new number will be rational, and be in between the other 2.
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.
Which set of numbers does -4 belong to?
It belongs to any set that contains it!It belongs to {-4},or {-4, sqrt(2), pi, -3/7},or all whole numbers between -43 and 53,or multiples of 2,or even numbers,or composite numbers,or integers,or rational numbers,or negative rational numbers,or real numbers,or complex numbers,etc.
How many units are there in rational numbers?
Rational numbers are all whole numbers over 0. It basically means that if you want to say how much cats you have, you use rational numbers. You don't have -8 cats, you don't have 0 cats and hopefully you don't have 3.5 cats. You have 4 cats. There are infinite rational numbers.
