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Class 10MathematicsReal NumbersDecimal expansion of rational numbersEasyLevel 19
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After at most how many decimal places will the decimal expansion of (\frac{7}{16}) terminate?

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Answer and explanation

Correct answer: Four

Step 1: (16=2^4). Step 2: To make the denominator a power of (10), multiply by (5^4), so it can terminate within four decimal places. Step 3: Focus on the larger exponent of (2) and (5).

Related tags

Real NumbersDecimal PlacesPowers Of 2Class 10

Frequently asked questions

What is the correct answer to this question?

Four

Why is this the correct answer?

Step 1: (16=2^4). Step 2: To make the denominator a power of (10), multiply by (5^4), so it can terminate within four decimal places. Step 3: Focus on the larger exponent 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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  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. 5Choose the correct statement about the decimal expansion of (\frac{11}{45}).
  6. 6Which of the following fractions will give a terminating decimal?
  7. 7Which of the following fractions will give a non-terminating recurring decimal?
  8. 8When (0.75) is written as a rational number, which form is obtained?
  9. 9If the denominator of a fraction in lowest form is (2^3\times5^2), after at most how many decimal places will its decimal expansion terminate?
  10. 10After how many decimal places will the decimal expansion of (\frac{13}{125}) terminate?
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