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Class 10MathematicsReal NumbersDecimal expansion of rational numbersExpertLevel 19
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After reducing (\frac{84}{2^3\cdot 3\cdot 5^2\cdot 7}), after how many decimal places will its decimal expansion terminate?

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Answer and explanation

Correct answer: (2) places

Since (84=2^2\cdot 3\cdot 7), the reduced denominator is (2\cdot 5^2). The larger exponent is (2), so reduce first and then count places.

Related tags

CancellationDecimal-PlacesPrime-FactorisationReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(2) places

Why is this the correct answer?

Since (84=2^2\cdot 3\cdot 7), the reduced denominator is (2\cdot 5^2). The larger exponent is (2), so reduce first and then count 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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