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Class 10 > Learn Mathematics > How to check given number is rational or irrational by looking at its decimal...
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How to check given number is rational or irrational by looking at its decimal extension

Inderjeet Singh
20/01/2020 0 0
    • Rational, The decimal expansion of rational number, either stops or repeat infinitely many times 
    • Irrational, The decimal expansion of irrational number, neither stops nor repeat. 

    Examples

    • 7.65 it is a rational number because decimal expansion stops 
    • 4.346346346346346........ it is a rational number because decimal expansion repeats several times. However not stops 
    • 1.101001000100001.... it is an irrational number because it's decimal expansion neither stops nor repeat. 
    • 5.76438483728580193201.... it is again irrational number decimals expansion non-stop and no repeat. 
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