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Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 20
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If the denominator of a reduced fraction is (2^a5^b), (a<b), and its decimal terminates exactly after (4) places, what is the correct conclusion?

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Answer and explanation

Correct answer: (b=4)

Step 1: The number of decimal places is the larger of (a) and (b). Step 2: Since (a<b), the larger exponent is (b). For exactly (4) places, (b=4). Step 3: When a comparison is given, identify the larger exponent first.

Related tags

Exponent-ComparisonDecimal-PlacesTerminating-DecimalConcept

Frequently asked questions

What is the correct answer to this question?

(b=4)

Why is this the correct answer?

Step 1: The number of decimal places is the larger of (a) and (b). Step 2: Since (a<b), the larger exponent is (b). For exactly (4) places, (b=4). Step 3: When a comparison is given, identify the larger exponent first.

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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  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?
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  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?
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