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Recurring Decimals

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

MathematicsWhich of the following rational numbers will have a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationExpert MathematicsWhich statement is correct about \(\frac{2}{7}\) and (0.285714285714...)?Class 9Number SystemsDecimal representationExpert MathematicsWhich option is correct about the decimal expansion of \(\frac{13}{2^2\times5\times7}\)?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 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 MathematicsWhich number can be written in the form \(\frac{p}{q}\), where (p) and (q) are integers and (q\ne0)?Class 9Number SystemsRational numbersExpert 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 representationExpert MathematicsWhat type of decimal expansion does \(\frac{1}{7}\) have?Class 9Number SystemsDecimal representationExpert 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 representationExpert MathematicsA student believes that any number with an infinite decimal expansion must be irrational. Which example disproves this statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsA student claims that every non-terminating decimal expansion is irrational. Which of the following numbers is a counterexample to the claim?Class 9Number SystemsIrrational numbersExpert MathematicsA student claims that every non-terminating decimal is irrational. Which of the following examples disproves the claim?Class 9Number SystemsIrrational numbersExpert MathematicsA student says, “Every number with a non-terminating decimal expansion is irrational.” Which of the following numbers proves this statement wrong?Class 9Number SystemsIrrational numbersExpert MathematicsA student says that every non-terminating decimal number is irrational. Which of the following numbers shows the error in this statement?Class 9Number SystemsIrrational numbersHard MathematicsWhich of the following decimal representations denotes an irrational number?Class 9Number SystemsIrrational numbersHard MathematicsA student claims that every non-terminating decimal number is irrational. Which of the following numbers is a counterexample to the claim?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that every non-terminating decimal expansion is irrational. Which of the following numbers disproves the statement?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that every non-terminating decimal is irrational. Which example shows the error in this statement?Class 9Number SystemsIrrational numbersMedium