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Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 20
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If the decimal expansion of (\frac{11}{2^4\cdot 5^n}) terminates exactly after (7) decimal places, what is the value of (n)?

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Answer and explanation

Correct answer: (7)

Step 1: The denominator has only powers of (2) and (5). Step 2: The number of decimal places is the larger of (4) and (n). For exactly (7) places, (n=7). Step 3: When the word exactly appears, match the larger exponent carefully.

Related tags

ExponentsDecimal-ExpansionTerminating-DecimalPyq-Style

Frequently asked questions

What is the correct answer to this question?

(7)

Why is this the correct answer?

Step 1: The denominator has only powers of (2) and (5). Step 2: The number of decimal places is the larger of (4) and (n). For exactly (7) places, (n=7). Step 3: When the word exactly appears, match the larger exponent carefully.

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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