Rational numbers are numbers that are expressed as a ratio.
Such as 7/1, 3/4, 25/37 and so on.
They are a ratio of one number to another.
Obviously all the whole numbers are rational, as 7/1 which simplifies to 7.
All rational numbers are examples of numbers which are both rational and real.
All integers are rational numbers.
Pi.
use in counting
There are infinitely many rational numbers between any two numbers. Examples of rational numbers between 2 and 2.5 are: 2.1, 2.2, 2.3
There are infinitely many rational numbers between any two numbers. Examples here are:0.0800000000000000010257 0.080000000000000001025703
2, 3.67, -4.585858.. (repeating) are some examples.
No. Real numbers are equivalence classes of cauchy sequences of rational numbers, which in turn are equivalence classes of pairs of integers (or whole numbers). Examples of real numbers that are not rational and therefore not integer are sqrt(2) and pi. Examples of real numbers that are rational but not integer are 1/2 and 13/17.
0.259, 0.25734, 0.0003 are some examples.
2
Yes. Any number that is not rational would not be called 'rational', and so it would not be included in the bag of 'rational numbers'. So all the numbers that are in there must be rational ones.
-2 -203 - 6,942 / 7,653