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Class 10MathematicsReal NumbersDecimal expansion of rational numbersMediumLevel 20
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If the denominator of a fraction in lowest form is (2^n\times5^3) and its decimal terminates exactly after (4) places, what is the value of (n)?

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Answer and explanation

Correct answer: (4)

Step 1: The number of decimal places is decided by the larger exponent of (2) and (5). Step 2: The larger exponent must be (4), so (n=4). Step 3: In such questions, identify the larger exponent directly.

Related tags

Decimal PlacesExponentsTerminating Decimals

Frequently asked questions

What is the correct answer to this question?

(4)

Why is this the correct answer?

Step 1: The number of decimal places is decided by the larger exponent of (2) and (5). Step 2: The larger exponent must be (4), so (n=4). Step 3: In such questions, identify the larger exponent directly.

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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