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Decimal Expansion

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhen 0.0375 is written in lowest fraction form, what is the prime factorisation of the denominator?Class 10Real NumbersDecimal expansion of rational numbersLevel 19MediumMathematicsChoose the correct value of \(N\) when \(\frac{11}{2^6\cdot 5^2}\) is written as \(\frac{N}{10^6}\).Class 10Real NumbersDecimal expansion of rational numbersLevel 19ExpertMathematicsIf \(\frac{17}{2^a5^b}\) has a decimal expansion that terminates exactly after 9 places and \(a<b\), what is the value of \(b\)?Class 10Real NumbersDecimal expansion of rational numbersLevel 19ExpertMathematicsIf (\frac{p}{q}) is in lowest form and (q=2^4\cdot 5^7), after exactly how many decimal places will the decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 19ExpertMathematicsAfter reducing (\frac{45}{2^5\cdot 3^2\cdot 5^4}) to lowest form, after how many decimal places will its decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21HardMathematicsIn which fraction will exactly two non-repeating decimal digits appear before the recurring part begins?Class 10Real NumbersDecimal expansion of rational numbersLevel 21HardMathematicsIf the decimal expansion of (\frac{11}{2^4\cdot 5^n}) terminates exactly after (7) decimal places, what is the value of (n)?Class 10Real NumbersDecimal expansion of rational numbersLevel 20HardMathematicsWhich option gives a number whose decimal expansion will not terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 19HardMathematicsA rational number (\frac{p}{q}) is in lowest form and (q=2^3\cdot 5^2). Choose the correct statement about its decimal expansion.Class 10Real NumbersDecimal expansion of rational numbersLevel 19HardMathematicsThe denominator of a rational number in lowest form is (2^3 \times 5^2 \times 7). Choose the correct statement about its decimal expansion.Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsAfter simplifying (\frac{169}{338}), after how many places will the decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsWhich denominator should be checked to decide whether a decimal expansion terminates or not?Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsAfter how many places will the decimal expansion of (\frac{1}{128}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsStatement: The decimal expansion of every rational number is either terminating or non-terminating recurring. Choose the correct option.Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsWhich statement is correct about (0.01001000100001\ldots)?Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsAfter how many places will the decimal expansion of (\frac{11}{6250}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsWithout doing division, after how many places will the decimal expansion of (\frac{19}{80}) terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21MediumMathematicsWhich statement is correct about (0.04\overline{7})?Class 10Real NumbersDecimal expansion of rational numbersLevel 20MediumMathematicsWhat type of decimal expansion will (\frac{21}{56}) have in lowest form?Class 10Real NumbersDecimal expansion of rational numbersLevel 20MediumMathematicsAfter simplifying (\frac{121}{242}), after how many places will the decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 20Medium