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Class 10MathematicsReal NumbersDecimal expansion of rational numbersMediumLevel 20
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If the decimal expansion of (\frac{7}{2^2\times5^x}) terminates exactly after (6) places, what is the value of (x)?

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Answer and explanation

Correct answer: (6)

Step 1: The number of decimal places comes from the larger exponent of (2) and (5). Step 2: The exponent of (2) is (2), so for exactly (6) places we need (x=6). Step 3: Match the larger exponent with the required places.

Related tags

ExponentsDecimal PlacesTerminating

Frequently asked questions

What is the correct answer to this question?

(6)

Why is this the correct answer?

Step 1: The number of decimal places comes from the larger exponent of (2) and (5). Step 2: The exponent of (2) is (2), so for exactly (6) places we need (x=6). Step 3: Match the larger exponent with the required 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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  4. 4After reducing (\frac{15}{40}), what type of decimal expansion will it have?
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  7. 7Which of the following fractions will give a terminating decimal?
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