Question 198737
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Everything is correct except your evaluation of 30007.413


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 30007.413 = \frac{30007413}{1000}] exactly.  


Hence the number can be expressed as the quotient of two integers and is rational by definition.


Here's a hint:  You cannot express an irrational number exactly using a decimal fraction, therefore any decimal, regardless of the number of decimal places displayed, is not an exact representation of an irrational number and must therefore be rational.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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