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Class 10MathematicsReal NumbersIrrational numbersEasyLevel 13
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Which statement is correct about (0.101001000100001\ldots)?

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Answer and explanation

Correct answer: It is an irrational number

Step 1: The digits do not repeat in a fixed recurring pattern. Step 2: It is non-terminating and non-recurring, so it is irrational. Step 3: In long decimals, check whether there is a fixed repeating block.

Related tags

Real-NumbersNon-Recurring-DecimalIrrational

Frequently asked questions

What is the correct answer to this question?

It is an irrational number

Why is this the correct answer?

Step 1: The digits do not repeat in a fixed recurring pattern. Step 2: It is non-terminating and non-recurring, so it is irrational. Step 3: In long decimals, check whether there is a fixed repeating block.

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. 8If (a) is a non-zero rational number and (b) is an irrational number, what type of number is (ab) generally?
  9. 9What type of number is (\sqrt{2}+3)?
  10. 10The simplified form of (\sqrt{2}+\sqrt{2}) is what type of number?
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