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Subjects
Class 10MathematicsReal NumbersDecimal expansion of rational numbersExpertLevel 20
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In (\frac{1}{2^2\cdot 5^5\cdot 13}), how many non-repeating decimal digits appear before the recurring part starts?

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Answer and explanation

Correct answer: (5)

The factor (13) makes the decimal recurring, and the larger exponent among (2) and (5) is (5), giving the initial non-repeating part. Understand recurrence and delay separately.

Related tags

PreperiodRecurring-DecimalAdvancedReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(5)

Why is this the correct answer?

The factor (13) makes the decimal recurring, and the larger exponent among (2) and (5) is (5), giving the initial non-repeating part. Understand recurrence and delay separately.

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?
  5. 5After at most how many decimal places will the decimal expansion of (\frac{7}{16}) terminate?
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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?
  9. 9When (0.75) is written as a rational number, which form is obtained?
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