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Class 10MathematicsReal NumbersDecimal expansion of rational numbersEasyLevel 19
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Under what condition does (\frac{p}{q}) have a terminating decimal expansion when the fraction is in lowest form?

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Answer and explanation

Correct answer: (q) has only factors (2) and (5)

Step 1: For terminating decimals, look at the denominator in lowest form. Step 2: If the denominator is of the form (2^m5^n), the decimal terminates. Step 3: Always reduce the fraction before applying the rule.

Related tags

Real NumbersTerminating DecimalLowest FormClass 10

Frequently asked questions

What is the correct answer to this question?

(q) has only factors (2) and (5)

Why is this the correct answer?

Step 1: For terminating decimals, look at the denominator in lowest form. Step 2: If the denominator is of the form (2^m5^n), the decimal terminates. Step 3: Always reduce the fraction before applying the rule.

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 will the rational number (\frac{3}{8}) have?
  2. 2What type of decimal expansion does (\frac{5}{6}) have?
  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?
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