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

Mathematics

Decimal expansion of rational numbers

परिमेय संख्याओं का दशमलव प्रसार

In Class 10 Mathematics, this topic from the Real Numbers chapter explains how rational numbers are represented in decimal form. Students learn to distinguish terminating decimals from non-terminating recurring decimals and determine the type of expansion by reducing a fraction to its simplest form and examining the prime factors of its denominator. The topic also develops accuracy in long division, fraction-to-decimal conversion, and understanding the relationship between rational numbers and their decimal representations.

Practice questions

Choose the correct option for the decimal expansion of (\frac{84}{350}).Which fraction is equal to (0.0\overline{6})?If (q=2^2\times3\times5) in a fraction (\frac{p}{q}) in lowest form, what type of decimal expansion will it have?What is the correct decision about the decimal expansion of (\frac{121}{440})?In which option will the decimal expansion be non-terminating recurring?Choose the correct option about the decimal expansion of (\frac{72}{540}).What is the decimal form of (\frac{91}{625})?If the denominator of a fraction in lowest form is (2^6\times5^2), after at most how many places will its decimal expansion terminate?Which fraction will have a decimal expansion terminating exactly after (3) decimal places?Write (0.\overline{18}) as a fraction in simplest form.Choose the correct decision for the decimal expansion of (\frac{143}{550}).What type of decimal expansion will (\frac{26}{143}) have?After how many places will the decimal expansion of (\frac{45}{128}) terminate?By which number should (\frac{5}{18}) be multiplied so that the resulting fraction has a terminating decimal expansion?By which least natural number should (\frac{5}{18}) be multiplied so that the resulting fraction has a terminating decimal expansion?Which statement is correct about the decimal expansion of (\frac{63}{245})?Which option shows the correct decimal form of (\frac{3}{32})?What do we get when (0.0625) is converted into a fraction in simplest form?If (\frac{p}{q}) is in lowest form and (q=2^4\times5^4), at which decimal place will the expansion terminate?After how many decimal places will (\frac{49}{2000}) terminate?