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Class 10MathematicsReal NumbersDecimal expansion of rational numbersExpertLevel 20
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What type of decimal expansion will (\frac{147}{2\cdot 3\cdot 5^4\cdot 7^2}) have?

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Answer and explanation

Correct answer: Terminating after (4) places

Since (147=3\cdot 7^2), the reduced denominator is (2\cdot 5^4). The larger exponent is (4), so the decimal terminates after (4) places.

Related tags

CancellationTerminating-DecimalDecimal-PlacesExpert

Frequently asked questions

What is the correct answer to this question?

Terminating after (4) places

Why is this the correct answer?

Since (147=3\cdot 7^2), the reduced denominator is (2\cdot 5^4). The larger exponent is (4), so the decimal terminates after (4) 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?
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  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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