How many rational numbers are between 2 and 3?

Answer 1

There are infinitely many rational numbers between 2 and 3. This is because rational numbers are numbers that can be expressed as a fraction of two integers, and there are infinitely many integers between any two integers. Therefore, there are an infinite number of fractions between 2 and 3 that can be written in the form of (n/d) where n and d are integers.

Answer 2

Well, isn't that just a happy little question! Between the numbers 2 and 3, there are infinitely many rational numbers. You can think of them like a never-ending parade of friendly little fractions, all marching happily along the number line between 2 and 3.

Answer 3

There are infinite rational numbers between 2 and 3.

Explanation:

Let us write a few decimal numbers between 2 and 3: 2.01, 2.001, 2.0001,.., 2.4, 2.90 etc. Just change digits after the decimal point and this way we can write infinite decimal numbers between 2 and 3. And each decimal number can be expressed in the form of p/q(rational number)

2.01 = 201/100

2.001 = 2001/1000

... 2.4 = 24/10 and so on.

So there are infinitely many rational numbers b/w 2 and 3.