Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 21
0 reads0 ratings0 helpful

How many decimal places will the decimal expansion of (\frac{3^2\cdot 5}{2^6\cdot 3^2\cdot 5^4}) have?

Advertisement

Answer and explanation

Correct answer: (6)

Step 1: The numerator (3^2\cdot 5) cancels from the denominator. Step 2: The reduced denominator is (2^6\cdot 5^3). The larger exponent is (6), so the decimal terminates after (6) places. Step 3: Look for the larger exponent only after cancellation.

Related tags

Prime-PowersCancellationDecimal-PlacesTerminating-Decimal

Frequently asked questions

What is the correct answer to this question?

(6)

Why is this the correct answer?

Step 1: The numerator (3^2\cdot 5) cancels from the denominator. Step 2: The reduced denominator is (2^6\cdot 5^3). The larger exponent is (6), so the decimal terminates after (6) places. Step 3: Look for the larger exponent only after cancellation.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  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?
  10. 10If 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?
Advertisement