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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।

MathematicsA student says that \(0.272727\ldots\) is irrational because its decimal expansion is non-terminating. Which statement correctly explains the student's error?Class 10PolynomialsIrrational numbers and real numbersLevel 26Easy MathematicsWhich decimal is non-terminating and non-repeating?Class 10Real NumbersDecimal expansion of rational numbersLevel 25Medium MathematicsIf the decimal expansion of a number is non-terminating but repeating, what type of number is it?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy MathematicsReena says, “Every non-terminating decimal is irrational.” What is the error in her statement?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy MathematicsWhat is the decimal expansion of an irrational number like?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy MathematicsWhat type of number is the decimal 0.333...?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy MathematicsWhen \(\frac{11}{2^8\cdot 5^5}\) is converted into \(\frac{N}{10^8}\), what is N?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Expert MathematicsIf p/q is in lowest form and q = 2^m × 5^n × 13^r, where r > 0, what type of decimal expansion will it have?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Medium MathematicsIf \(\dfrac{37}{2^4\cdot 5^8}\) is written as \(\dfrac{N}{10^8}\), what is \(N\)?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Expert MathematicsIf \(\dfrac{31}{2^a5^b}\) terminates exactly after 10 decimal places and \(b>a\), what is the value of \(b\)?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Expert MathematicsIf (\frac{p}{q}) is in lowest form and (q=2^9\cdot 5^4), after exactly how many decimal places will the decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 21Expert MathematicsIf \(\frac{7}{2^6\cdot 5^4}\) is written as \(\frac{N}{10^6}\), what is \(N\)?Class 10Real NumbersDecimal expansion of rational numbersLevel 20Expert MathematicsIf p/q is in lowest form and q = 2^m × 5^n × 11^r, where r > 0, what type of decimal expansion will it have?Class 10Real NumbersDecimal expansion of rational numbersLevel 20Medium MathematicsWhat type of decimal expansion will 14/(2^2 × 5^3 × 7^2) have?Class 10Real NumbersDecimal expansion of rational numbersLevel 20Medium MathematicsIf \(\dfrac{29}{2^a5^b}\) terminates exactly after 8 decimal places and \(a>b\), what is the value of \(a\)?Class 10Real NumbersDecimal expansion of rational numbersLevel 20Expert MathematicsIf (\frac{p}{q}) is in lowest form and (q=2^8\cdot 5^3), after exactly how many decimal places will the decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 20Expert MathematicsAfter reducing (\frac{242}{2^3\cdot 5^4\cdot 11^2}) to lowest form, after how many decimal places will its decimal expansion terminate?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Expert MathematicsIf p/q is in lowest form and q = 2^m × 5^n × 7^r, where r > 0, what type of decimal expansion will it have?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Medium MathematicsWhen 0.0375 is written in lowest fraction form, what is the prime factorisation of the denominator?Class 10Real NumbersDecimal expansion of rational numbersLevel 19Medium MathematicsChoose 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 19Expert