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 .
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.
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.
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.
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.
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.
There are infinitely many rational numbers between any two rational numbers - no matter how close together they are.
Exploration task: Inserting rational numbers between two given rational numbers 1. Take any two rational numbers. 2. Add them. 3. Divide the result obtained by 2. 4. Observe the number obtained. Is the answer a rational number? Is it between two given numbers? Brainstorming: How many rational numbers can be inserted between two rational numbers?
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.
There are infinitely many rational numbers between 0.6 (3/5) and 0.8 (4/5).
Infinitely many.
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.
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.
A rational number is any number which can be written as a quotient of 2 integers i.e can be expressed as a/b. So six rational numbers between 3 and 4 would be 10/3, 17/5, 19/6, 11/3, 13/4, 22/7 Though there are many more than that.
If it is integers, you have -2, -1, 0, 1, 2 and 3. If rational numbers or irrational numbers or real numbers, there are an infinity of them between -3 and 4.
They are 4, 3 and 2 which are rational numbers because they can be expressed as fractions as for example 3 as a fraction is 3/1.
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.
It is a rational number (46/10) between the whole numbers 4 and 5.