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Class 10MathematicsReal NumbersDecimal expansion of rational numbersEasyLevel 19
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What type of decimal expansion will the rational number (\frac{3}{8}) have?

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Answer and explanation

Correct answer: Terminating

Step 1: (8=2^3). Step 2: The denominator has only the prime factor (2), so the decimal expansion terminates. Step 3: In exams, first check the prime factors of the simplified denominator.

Related tags

Real NumbersDecimal ExpansionRational NumbersClass 10

Frequently asked questions

What is the correct answer to this question?

Terminating

Why is this the correct answer?

Step 1: (8=2^3). Step 2: The denominator has only the prime factor (2), so the decimal expansion terminates. Step 3: In exams, first check the prime factors of the simplified denominator.

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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  1. 1What type of decimal expansion does (\frac{5}{6}) have?
  2. 2Under what condition does (\frac{p}{q}) have a terminating decimal expansion when the fraction is in lowest form?
  3. 3After reducing (\frac{15}{40}), what type of decimal expansion will it have?
  4. 4After at most how many decimal places will the decimal expansion of (\frac{7}{16}) terminate?
  5. 5Choose the correct statement about the decimal expansion of (\frac{11}{45}).
  6. 6Which of the following fractions will give a terminating decimal?
  7. 7Which of the following fractions will give a non-terminating recurring decimal?
  8. 8When (0.75) is written as a rational number, which form is obtained?
  9. 9If the denominator of a fraction in lowest form is (2^3\times5^2), after at most how many decimal places will its decimal expansion terminate?
  10. 10After how many decimal places will the decimal expansion of (\frac{13}{125}) terminate?
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