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Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 20
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After how many decimal places will the decimal expansion of (\frac{1}{640}) terminate?

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Answer and explanation

Correct answer: (7)

Step 1: (640=64\cdot 10=2^6\cdot 2\cdot 5=2^7\cdot 5). Step 2: The larger exponent is (7), so the decimal terminates after (7) places. Step 3: Convert the denominator directly into powers of (2) and (5).

Related tags

Decimal-PlacesPowers-Of-2Terminating-DecimalReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(7)

Why is this the correct answer?

Step 1: (640=64\cdot 10=2^6\cdot 2\cdot 5=2^7\cdot 5). Step 2: The larger exponent is (7), so the decimal terminates after (7) places. Step 3: Convert the denominator directly into powers of (2) and (5).

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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  7. 7Which of the following fractions will give a terminating decimal?
  8. 8Which of the following fractions will give a non-terminating recurring decimal?
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