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Which of the following decimals represents an irrational number?

Class 9Rational and Irrational NumbersNumber Systems
  • A0.272727... (27 repeating)
  • B0.101001000100001... (non-recurring pattern)
  • C0.5
  • D0.142857142857... (block repeating)

Step-by-Step Solution

An irrational number has a non-terminating, non-recurring decimal expansion. 0.101001000100001... never settles into a repeating block, so it is irrational.
Answer: B) 0.101001000100001... (non-recurring pattern)

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