What is a rational number?
A rational number can always be written
What is a rational number?
Q. Which of the following numbers are rational?Any ordinary number of arithmetic: Any whole number, fraction, mixed number or decimal; together with its negative image.
A rational number is a nameable number, in the sense that we can name it according to the standard way of naming whole numbers, fractions, and mixed numbers. "Five," "Six thousand eight hundred nine," "Nine hundred twelve millionths," "Three and one-quarter," and so on.
| 1 | −6 | 3½ | − | 2 3 | 0 | 5.8 | 3.1415926535897932384626433 |
| a b | , where a and b are integers (b  0). |
An integer itself can be written as a fraction: b = 1. And fromarithmetic, we know that we can write a decimal as a fraction.
When a and b are positive, that is, when they are natural numbers, then we can always name their ratio. Hence the term, rational number.
At this point, the student might wonder, What is a number that is not rational?
An example of such a number is 
("Square root of 2"). It is not possible to name any whole number, any fraction or any decimal whose
("Square root of 2"). It is not possible to name any whole number, any fraction or any decimal whose| square is 2. | 7 5 | is close, because |
| 7 5 | · | 7 5 | = | 49 25 |
-- which is almost 2.
I want to discuss one more definition of rational number as rational numbers can be whole numbers, fractions, and decimals. They can be written as a ratio of two integers in the form a/b where a and b are integers and b nonzero.
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