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Class 10MathematicsReal NumbersDecimal expansion of rational numbersExpertLevel 21
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If (\frac{p}{q}) is in lowest form and (q=2^9\cdot 5^4), after exactly how many decimal places will the decimal expansion terminate?

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Answer and explanation

Correct answer: (9) places

The denominator has only (2) and (5), so the decimal terminates with the larger exponent (9). In exams, use the larger exponent instead of adding exponents.

Related tags

Real-NumbersDecimal-ExpansionTerminating-DecimalExponents

Frequently asked questions

What is the correct answer to this question?

(9) places

Why is this the correct answer?

The denominator has only (2) and (5), so the decimal terminates with the larger exponent (9). In exams, use the larger exponent instead of adding exponents.

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?
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  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?
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  9. 9When (0.75) is written as a rational number, which form is obtained?
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