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Number Systems

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA student calls the number \(0.101001000100001\ldots\) rational because it contains only the digits 0 and 1. Which conclusion about this number is correct?Class 9Number SystemsReal NumbersMedium MathematicsWhat type of decimal is 29/200?Class 9Number SystemsDecimal representationMedium MathematicsWhat is the correct statement about the decimal form of 8/13?Class 9Number SystemsDecimal representationMedium MathematicsWhat type of real number is the decimal \(3.454545\ldots\)?Class 9Number SystemsRational numbersMedium MathematicsIf 0.2020020002... has no fixed repetition, what type of number is it?Class 9Number SystemsExponentsMedium MathematicsBetween which two integers does √86 lie?Class 9Number SystemsReal NumbersMedium MathematicsWhich number is greater: \(\sqrt{45}\) or \(\frac{13}{2}\)?Class 9Number SystemsReal NumbersMedium MathematicsWhat is the value of √32 × √50?Class 9Number SystemsReal NumbersMedium MathematicsWhat is the rationalised form of 1/(√10 + √9)?Class 9Number SystemsReal NumbersMedium MathematicsA student simplifies \\(\sqrt{50}\\) as \\(5\sqrt{2}\\) and calls it an irrational number. Which evaluation of the student's conclusion is correct?Class 9Number SystemsReal NumbersMedium MathematicsA student calls the number 0.101001000100001... rational because its decimal expansion is infinite. What should the correct conclusion be?Class 9Number SystemsReal NumbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which statement correctly explains the student's error?Class 9Number SystemsReal NumbersMedium MathematicsWhat is the value of (2 + √3)/(2 − √3) after rationalising?Class 9Number SystemsReal NumbersHard MathematicsWhat type of number is √2 + √3?Class 9Number SystemsIrrational numbersHard MathematicsA student says, “\(\sqrt{18}\) is a rational number because 18 is an integer.” Which is the correct evaluation of this statement?Class 9Number SystemsReal NumbersMedium MathematicsWhat type of decimal expansion does \(\frac{17}{125}\) have?Class 9Number SystemsDecimal representationMedium MathematicsA square has a side of \(\sqrt{2}\) cm. Which statement about its diagonal and perimeter is correct?Class 9Number SystemsReal NumbersMedium MathematicsIf 0.040040004... has no fixed repetition, what is it?Class 9Number SystemsIrrational numbersMedium MathematicsWhat type of real number is the decimal \(1.232323\ldots\)?Class 9Number SystemsRational numbersMedium MathematicsIf 0.12122122212222... is non-repeating, what type of number is it?Class 9Number SystemsIrrational numbersMedium