There are infinitely many real numbers between -6 and 6. And between each pair of those, there are infinitely many real numbers, and between each pair of those ...
Therefore, it is impossible to list them all.
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There are infinitely many real numbers between 6 and 7 and each of them can be represented by a decimal number. One, for example, is 6.00000000000000000000102
There are infinitely many real numbers between 5/9 and 6/9. One of the ways to find a real number between 5/9 and 6/9 is multiplying numerators and denominators of both numbers by an integer. 5/9 x 3/3 = 15/27 6/9 x 3/3 = 18/27 Now we have two more rational numbers to state which are 16/27 and 17/27. If we multiply by a larger then we get more numbers between 5/9 and 6/9. So we can say that we can have infinite real numbers.
The number directly between 6 and 10 is 8.
The square root of 6 lies between 2 and 3.
The real number system can be sliced and diced in an infinite number of ways. In other words, you can't list all the different sets of numbers in the real number system. However, here are some of the commonest:the real number system itself (on the grounds that every set is a subset of itself)the integersthe whole numbers: 1, 2, 3, ...the even number: ..., -6, -4, -2, 0, 2, 4, 6, ...the rational numbers