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Class 10MathematicsReal NumbersIrrational numbersHardLevel 15
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Which of the following decimals represents an irrational number?

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Answer and explanation

Correct answer: (1.01001000100001\ldots)

Step 1: Terminating and recurring decimals are rational. Step 2: (1.01001000100001\ldots) is non-terminating and has no fixed repeating block. Step 3: To identify an irrational decimal, check both non-termination and non-repetition.

Related tags

Decimal ExpansionNon RecurringIrrational NumbersClass 10

Frequently asked questions

What is the correct answer to this question?

(1.01001000100001\ldots)

Why is this the correct answer?

Step 1: Terminating and recurring decimals are rational. Step 2: (1.01001000100001\ldots) is non-terminating and has no fixed repeating block. Step 3: To identify an irrational decimal, check both non-termination and non-repetition.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.

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10 more MCQs
  1. 1Which of the following numbers is irrational?
  2. 2Which of the following numbers is rational?
  3. 3What type of number is (\sqrt{16})?
  4. 4Which statement about (\sqrt{10}) is correct?
  5. 5Which of the following is an example of an irrational number?
  6. 6Which decimal form represents an irrational number?
  7. 7What type of number is (0.3333\ldots)?
  8. 8Which statement is correct about (0.101001000100001\ldots)?
  9. 9If (a) is a non-zero rational number and (b) is an irrational number, what type of number is (ab) generally?
  10. 10What type of number is (\sqrt{2}+3)?
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