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Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 19
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If a rational number has reduced denominator (2^r5^s) and (r>s), how many decimal places will its decimal expansion have?

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Answer and explanation

Correct answer: (r)

Step 1: The reduced denominator has only powers of (2) and (5). Step 2: The number of decimal places equals the larger exponent. Since (r>s), the larger exponent is (r). Step 3: Remember (\max(r,s)) for decimal places.

Related tags

General-RuleDecimal-PlacesTerminating-DecimalReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(r)

Why is this the correct answer?

Step 1: The reduced denominator has only powers of (2) and (5). Step 2: The number of decimal places equals the larger exponent. Since (r>s), the larger exponent is (r). Step 3: Remember (\max(r,s)) for decimal places.

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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