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Class 10MathematicsReal NumbersDecimal expansion of rational numbersEasyLevel 19
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What type of decimal expansion will (\frac{121}{500}) have, and within how many places will it terminate at most?

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Answer and explanation

Correct answer: Terminating, three places

Step 1: (500=2^2\times5^3). Step 2: It has only (2) and (5), so the decimal terminates, and the larger exponent is (3). Step 3: When both type and places are asked, check both.

Related tags

Real NumbersTerminating DecimalDecimal PlacesClass 10

Frequently asked questions

What is the correct answer to this question?

Terminating, three places

Why is this the correct answer?

Step 1: (500=2^2\times5^3). Step 2: It has only (2) and (5), so the decimal terminates, and the larger exponent is (3). Step 3: When both type and places are asked, check both.

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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  1. 1What type of decimal expansion will the rational number (\frac{3}{8}) have?
  2. 2What type of decimal expansion does (\frac{5}{6}) have?
  3. 3Under what condition does (\frac{p}{q}) have a terminating decimal expansion when the fraction is in lowest form?
  4. 4After reducing (\frac{15}{40}), what type of decimal expansion will it have?
  5. 5After at most how many decimal places will the decimal expansion of (\frac{7}{16}) terminate?
  6. 6Choose the correct statement about the decimal expansion of (\frac{11}{45}).
  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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