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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।

MathematicsWhat is the correct statement about the decimal form of 7/66?Class 9Number SystemsDecimal representationMedium MathematicsWhat is the correct statement about the decimal form of 33/160?Class 9Number SystemsDecimal representationMedium MathematicsWhat is the correct statement about the decimal form of 11/17?Class 9Number SystemsDecimal representationMedium MathematicsWhat type of real number is 4.616161...?Class 9Number SystemsReal NumbersMedium MathematicsIf 0.3030030003... has no fixed repetition, what type of number is it?Class 9Number SystemsExponentsMedium MathematicsA student says that the sum of two irrational numbers is always irrational. Which of the following examples disproves the statement?Class 9Number SystemsReal NumbersMedium MathematicsA student says that if the denominator of a fraction in simplest form has a prime factor other than 2 and 5, its decimal expansion is non-terminating recurring. Which of the following fractions supports the student's statement?Class 9Number SystemsReal NumbersMedium MathematicsWhat is the value of √45 × √80?Class 9Number SystemsReal NumbersEasy MathematicsA student says that the decimal expansion of every irrational number is non-terminating and recurring. Why is this statement incorrect?Class 9Number SystemsReal NumbersMedium MathematicsWhich of the following numbers has a non-terminating, non-repeating decimal expansion and is therefore irrational?Class 9Number SystemsReal NumbersMedium MathematicsA student says that \(\sqrt{2}+\sqrt{8}\) is an irrational number. Why is the statement correct?Class 9Number SystemsReal NumbersMedium MathematicsWhat is the simplified form of (7 − √3)²?Class 9Number SystemsReal NumbersMedium MathematicsWhich of the following statements about decimal expansions is correct?Class 9Number SystemsReal NumbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion contains only the digits 0 and 1. Which statement correctly explains the student's error?Class 9Number SystemsReal NumbersMedium MathematicsRavi says that \(\frac{7}{24}\) is an irrational number because its decimal expansion is non-terminating. What is the error in Ravi's statement?Class 9Number SystemsReal NumbersMedium MathematicsWhat is obtained by simplifying √363?Class 9Number SystemsReal NumbersEasy MathematicsWhat is the simplified form of √242 − √128?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsIf \(x=-8\), what is the value of \(\sqrt{x^2}+x\)?Class 9Number SystemsReal NumbersMedium MathematicsWhat is the value of (3 + √2)/(3 − √2) after rationalising?Class 9Number SystemsReal NumbersHard MathematicsA student considers the number \(0.101001000100001\ldots\) rational because its decimal expansion does not terminate. What is the correct conclusion about this number?Class 9Number SystemsReal NumbersMedium