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Class 10MathematicsReal NumbersDecimal expansion of rational numbersEasyLevel 21
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If the denominator of a fraction in lowest form is (250), after how many places will its decimal expansion terminate?

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Answer and explanation

Correct answer: (3)

Step 1: (250=2\times5^3). Step 2: The larger exponent is (3), so the decimal ends after (3) places. Step 3: Exam tip: Thinking of converting (250) to (1000) gives the same answer.

Related tags

Decimal-PlacesDenominator-250Terminating

Frequently asked questions

What is the correct answer to this question?

(3)

Why is this the correct answer?

Step 1: (250=2\times5^3). Step 2: The larger exponent is (3), so the decimal ends after (3) places. Step 3: Exam tip: Thinking of converting (250) to (1000) gives the same answer.

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?
  9. 9When (0.75) is written as a rational number, which form is obtained?
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