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Subjects
Class 9MathematicsNumber SystemsDecimal representationHardLevel 11
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If ( \frac{p}{q} ) is in simplest form and (q=2^3\times5^4\times11), what type of decimal expansion will it have?

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Answer and explanation

Correct answer: Non-terminating recurring

The denominator has (11), a factor other than (2) and (5). So the rational number will have a non-terminating recurring decimal.

Related tags

Number-SystemsDecimal-RepresentationPrime-Factor-Test

Frequently asked questions

What is the correct answer to this question?

Non-terminating recurring

Why is this the correct answer?

The denominator has (11), a factor other than (2) and (5). So the rational number will have a non-terminating recurring decimal.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.

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