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Question

Write one rational and one irraltional number , ends withthe digit 0 . Justify your answer

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Solution

Dear student,

A rational number ending with the digit 0 is 10. 10 is a rational number as it can be expressed as p/q, where p=10,q=1

But we can not write any irrational number ending with 0, because decimal representation of irrational numbers has infinite decimals, and so it can not end at all, so it can not end with 0. If a irrational number ends with 0, then it will be finite decimal and then it can be written as some p/q where p and q are integers, making the number rational.
so, there is no irrational number ending with 0.

Regards!

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