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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।

Mathematics(0.272727\ldots) is what type of number?Class 9Number SystemsRational numbersLevel 3HardMathematicsWhat is the decimal expansion of the simplified fraction \(\frac{35}{154}\)?Class 9Number SystemsDecimal representationLevel 2MediumMathematicsWhich of the following numbers has a non-terminating, non-recurring decimal expansion?Class 9Number SystemsReal NumbersLevel 2HardMathematicsA student says that the number \(0.101001000100001\ldots\) is rational because the digit 1 occurs repeatedly. The number of zeros before each successive 1 keeps increasing. Which is the correct evaluation of the student's statement?Class 9Number SystemsReal NumbersLevel 2HardMathematicsReema claims that the decimal expansion of \(\frac{13}{120}\) will terminate because 120 has both 2 and 5 as factors. Which option correctly identifies the error in Reema’s statement?Class 9Number SystemsReal NumbersLevel 1HardMathematicsWhich of the following numbers has a non-terminating recurring decimal expansion?Class 9Number SystemsReal NumbersLevel 1HardMathematicsA student says that the decimal expansion of \(\frac{77}{480}\) will terminate because the prime factors of 480 include 2 and 5. Which is the correct evaluation of the student's statement?Class 9Number SystemsReal NumbersLevel 1HardMathematicsA student says that the decimal expansion of \(\frac{13}{375}\) will terminate because its denominator has 5 as a factor. What is the correct correction to the student's statement?Class 9Number SystemsReal NumbersLevel 3MediumMathematicsA 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 NumbersLevel 3MediumMathematicsA student says that the decimal expansion of every irrational number is non-terminating and recurring. Why is this statement incorrect?Class 9Number SystemsReal NumbersLevel 3MediumMathematicsA 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 NumbersLevel 3MediumMathematicsRavi 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 NumbersLevel 3MediumMathematicsA student says that \(0.272727\ldots\) is an irrational number because its decimal expansion does not terminate. Which evaluation of the statement is correct?Class 9Number SystemsReal NumbersLevel 5EasyMathematicsWhich of the following rational numbers has a terminating decimal form?Class 9Number SystemsDecimal representationLevel 3Easy