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Class 10MathematicsReal NumbersDecimal expansion of rational numbersMediumLevel 21
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Which denominator should be checked to decide whether a decimal expansion terminates or not?

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Answer and explanation

Correct answer: Denominator of the lowest form

Step 1: The terminating decimal rule applies to the denominator in lowest form. Step 2: The original denominator may contain factors that cancel out. Step 3: So reduce the fraction first, then factorise the denominator.

Related tags

Exam TipLowest FormDecimal Expansion

Frequently asked questions

What is the correct answer to this question?

Denominator of the lowest form

Why is this the correct answer?

Step 1: The terminating decimal rule applies to the denominator in lowest form. Step 2: The original denominator may contain factors that cancel out. Step 3: So reduce the fraction first, then factorise the 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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10 more MCQs
  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. 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?
  6. 6Choose the correct statement about the decimal expansion of (\frac{11}{45}).
  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?
  10. 10If 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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