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Rational Numbers

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

MathematicsWhich option has zero \(\frac{23}{9}\) for a linear polynomial?Class 9Introduction to PolynomialsLinear polynomialsExpert MathematicsIf a and b are irrational numbers, which of the following statements is correct?Class 9Number SystemsGeneral chapter practiceExpert MathematicsWhat type of number is \(\sqrt{121}+\sqrt{2}\)?Class 9Number SystemsIrrational numbersExpert MathematicsWhich of the following rational numbers will have a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationExpert MathematicsThe decimal expansion of \(\frac{43}{2^3\times5^5}\) will terminate after how many decimal places?Class 9Number SystemsDecimal representationExpert MathematicsIf \(\frac{m}{n}\) is a rational number and (n\ne0), what type of numbers are (m) and (n)?Class 9Number SystemsRational numbersExpert MathematicsWhich statement is correct about \(\frac{2}{7}\) and (0.285714285714...)?Class 9Number SystemsDecimal representationExpert MathematicsWhich of the following conditions guarantees that \(x\) is irrational?Class 9Number SystemsIrrational numbersExpert MathematicsIf \(\sqrt{x}\) is irrational and (5) is rational, what type of number will \(5\sqrt{x}\) generally be when (5\ne0)?Class 9Number SystemsIrrational numbersExpert MathematicsWhich option correctly describes (1.272727...)?Class 9Number SystemsGeneral chapter practiceExpert MathematicsRavi says that if, in simplest form, a fraction has only 2 and 5 as prime factors of its denominator, then its decimal expansion terminates. Which of the following fractions is an example supporting his statement?Class 9Number SystemsDecimal representationExpert MathematicsWhich option is correct about the decimal expansion of \(\frac{13}{2^2\times5\times7}\)?Class 9Number SystemsDecimal representationExpert MathematicsIf \(x=2+\sqrt{3}\), what type of number is (x)?Class 9Number SystemsIrrational numbersExpert MathematicsWhich of the following rational numbers has a terminating decimal expansion?Class 9Number SystemsDecimal representationExpert MathematicsWhich option is the fractional form of (0.\overline{6})?Class 9Number SystemsDecimal representationExpert MathematicsWhy is the decimal expansion of \(\frac{5}{6}\) not terminating?Class 9Number SystemsDecimal representationExpert MathematicsA student says that if the denominator of a fraction in lowest terms has 5 as a factor, then its decimal expansion terminates. Which fraction disproves the statement?Class 9Number SystemsDecimal representationExpert MathematicsIf p/q is a rational number and p and q are coprime, when will its decimal expansion terminate?Class 9Number SystemsDecimal representationExpert MathematicsIf r is a rational number, what type of number is \(r+\sqrt{2}\)?Class 9Number SystemsGeneral chapter practiceExpert MathematicsA student says, “If the decimal expansion of a rational number is non-terminating, then the number is irrational.” Which of the following numbers most clearly shows the error in this statement?Class 9Number SystemsDecimal representationExpert