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Subjects
Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 19
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Which number is rational but does not have a terminating decimal expansion?

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Answer and explanation

Correct answer: (0.\overline{25})

Step 1: (0.\overline{25}) has a repeating block, so it is rational. Step 2: It is not terminating because the decimal does not end. (\sqrt{2}) and (\pi) are irrational. Step 3: Rational numbers can be terminating or non-terminating recurring.

Related tags

Rational-NumberRecurring-DecimalClassificationReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(0.\overline{25})

Why is this the correct answer?

Step 1: (0.\overline{25}) has a repeating block, so it is rational. Step 2: It is not terminating because the decimal does not end. (\sqrt{2}) and (\pi) are irrational. Step 3: Rational numbers can be terminating or non-terminating recurring.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.

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  3. 3Under what condition does (\frac{p}{q}) have a terminating decimal expansion when the fraction is in lowest form?
  4. 4After reducing (\frac{15}{40}), what type of decimal expansion will it have?
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  7. 7Which of the following fractions will give a terminating decimal?
  8. 8Which of the following fractions will give a non-terminating recurring decimal?
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