Question 115872: How do you tell what is a rational number and a irational number?
Answer by MathLover1(20850) (Show Source):
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the  are the numbers of arithmetic: the whole numbers, fractions, mixed numbers, and decimals; together with their negative images
A rational number  be written in what form as a fraction , where and are integers (b is not = 0).
When and are positive, that is, when they are natural numbers, then we can always name their ratio.
the square roots of square numbers are rational.
An  is any real number that is a rational number -- that is, it is a number which be expressed as a fraction , where and are integers, with non-zero.
If we attempted to express an  as a complete decimal, then, clearly, we could not, because if we could, the number would be rational.
Examples of both and numbers:
, , ………. rational numbers
, , , , , ………. irrational numbers
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