Question

what are the rational numbers between 4 and 6

Answer 1

Answer:

There are infinitely many rational numbers between 4 and 6. We can identify finitely many of them. One such number is 5.

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Answer 2

To find:

Rational numbers between 4 and 6

Hint:

A number that is expressible in the form a/b, where a and b are integers and b is non-zero, is called a rational number.

Step-by-step explanation:

1. A rational number between 4 and 6

= (4 + 6)/2 = 10/2 = 5

2. A rational number between 4 and 5

= (4 + 5)/2 = 9/2

3. A rational number between 4 and 9/2

= (4 + 9/2)/2 = 17/4

Similarly we can find rational numbers between 4 and 17/4 and so on ... ...

4. A rational number between 5 and 6

= (5 + 6)/2 = 11/2

5. A rational number between 11/2 and 6

= (11/2 + 6)/2 = 23/4

Similarly we can find rational numbers between 23/4 and 6 and so on ... ...

Answer:

We can find infinitely many rational numbers between 4 and 6 using the above process. However a few of them are,

5, 9/2, 17/4, ... ..., 11/2, 23/4, ... ...