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Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 19
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Which of the following statements is always true?

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Answer and explanation

Correct answer: If the reduced denominator has only (2) and (5), the decimal terminates

Step 1: The decimal type is decided by the denominator in lowest form. Step 2: If the reduced denominator has only factors (2) and (5), the decimal terminates. The other statements are incomplete because factors like (3) or (7) may also be present. Step 3: Be careful with words like always.

Related tags

Conceptual-McqTerminating-DecimalReal-NumbersTrue-Statement

Frequently asked questions

What is the correct answer to this question?

If the reduced denominator has only (2) and (5), the decimal terminates

Why is this the correct answer?

Step 1: The decimal type is decided by the denominator in lowest form. Step 2: If the reduced denominator has only factors (2) and (5), the decimal terminates. The other statements are incomplete because factors like (3) or (7) may also be present. Step 3: Be careful with words like always.

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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