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Class 10MathematicsReal NumbersDecimal expansion of rational numbersMediumLevel 20
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After how many places will the decimal expansion of (\frac{1}{2^5}) terminate?

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Answer and explanation

Correct answer: (5) places

Step 1: (2^5=32). Step 2: The denominator has exponent (5) of (2), while the exponent of (5) can be taken as (0). Step 3: The larger exponent is (5), so the decimal terminates after (5) places.

Related tags

Powers Of TwoDecimal PlacesTerminating

Frequently asked questions

What is the correct answer to this question?

(5) places

Why is this the correct answer?

Step 1: (2^5=32). Step 2: The denominator has exponent (5) of (2), while the exponent of (5) can be taken as (0). Step 3: The larger exponent is (5), so the decimal terminates after (5) places.

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?
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