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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।

MathematicsWhich statement about \((\sqrt{2}+\sqrt{8})\) is correct?Class 9Number SystemsIrrational numbersLevel 19Expert 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 representationLevel 19Expert MathematicsIf p/q is a rational number and p and q are coprime, when will its decimal expansion terminate?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsIf r is a rational number, what type of number is \(r+\sqrt{2}\)?Class 9Number SystemsGeneral chapter practiceLevel 19Expert 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 representationLevel 19Expert MathematicsWhich number can be written in the form \(\frac{p}{q}\), where (p) and (q) are integers and (q\ne0)?Class 9Number SystemsRational numbersLevel 19Expert MathematicsWhich of the following rational numbers will have a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhich option is correct about the sum of a rational and an irrational number?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhich of the following pairs contains two irrational numbers whose sum is rational?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsHow many decimal places will \(\frac{3}{2^4\times5^2}\) have when converted into decimal?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsSuppose \(x\) is irrational and \(x+y\) is rational. Which conclusion about \(y\) must be true?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhich statement about real numbers is correct?Class 9Number SystemsGeneral chapter practiceLevel 19Expert MathematicsA student says that the decimal expansion of \(\frac{13}{375}\) terminates because its denominator has a factor of 5. Which correction to the student's error is correct?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhat type of decimal expansion does \(\frac{1}{7}\) have?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhich number is rational but not an integer?Class 9Number SystemsRational numbersLevel 19Expert MathematicsWhat is the simplest form of \((\sqrt{5}+\sqrt{20})\)?Class 9Number SystemsReal NumbersLevel 19Expert MathematicsThe decimal expansion of \(\frac{7}{2^2\times5^3}\) will terminate after how many decimal places?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhich option is correct about \(\sqrt{3}\)?Class 9Number SystemsIrrational numbersLevel 19Expert MathematicsWhat type of number is the product of \(\sqrt{2}\) and \(\sqrt{8}\)?Class 9Number SystemsRational numbersLevel 19Expert MathematicsA student says that the decimal expansion of \(\frac{77}{600}\) will terminate because it is a rational number. Which is the correct analysis of the student's error?Class 9Number SystemsDecimal representationLevel 19Expert