SOLUTION: How do you tell what is a rational number and a irational number?

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Question 115872: How do you tell what is a rational number and a irational number?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


the rational+numbers are the numbers of arithmetic: the whole numbers, fractions, mixed numbers, and decimals; together with their negative images
A rational number canalways be written in what form as a fraction a%2Fb, where a+and b are integers (b is not = 0).

When a and b are positive, that is, when they are natural numbers, then we can always name their ratio.
Only the square roots of square numbers are rational.
An irrational+number is any real number that is not a rational number -- that is, it is a number which cannot be expressed as a fraction a%2Fb, where a and b are integers, with b non-zero.
If we attempted to express an irrational+number as a complete decimal, then, clearly, we could not, because if we could, the number would be rational.
Examples of both rational and irrational numbers:
sqrt%281%29+=+1,sqrt%284%29+=+2+,sqrt%289%29+=3………. rational numbers
sqrt%282%29+, sqrt%283%29+, sqrt%285%29 , sqrt%286%29+ , sqrt%287%29+ , sqrt%288%29+………. irrational numbers