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Class 10MathematicsReal NumbersDecimal expansion of rational numbersMediumLevel 21
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After how many places will the decimal expansion of (\frac{1}{128}) terminate?

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Answer and explanation

Correct answer: (7) places

Step 1: (128=2^7). Step 2: The denominator has only (2), so the decimal terminates. Step 3: Since the exponent of (2) is (7), it terminates after (7) places.

Related tags

Powers Of TwoDecimal ExpansionTerminating

Frequently asked questions

What is the correct answer to this question?

(7) places

Why is this the correct answer?

Step 1: (128=2^7). Step 2: The denominator has only (2), so the decimal terminates. Step 3: Since the exponent of (2) is (7), it terminates after (7) 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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