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Decimal Expansion

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

MathematicsRiya says that \(0.1010010001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct evaluation of Riya’s statement?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsA student claims that \(0.10110111011110\ldots\), where blocks of 1s have lengths 1, 2, 3, 4, ... and are separated by 0s, is rational because it is written in decimal form. What is the error in the claim?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhich of the following properties identifies an irrational number?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhich property correctly describes the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsReema says that \(0.333...\) is irrational because its decimal expansion is infinite. Which statement correctly explains Reema’s error?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsWhich of the following correctly describes the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which conclusion is correct?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsWhich of the following statements correctly describes the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which is the correct correction to the student's statement?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsRiya says that the number 0.101001000100001… is rational because it contains only the digits 0 and 1. Which option correctly evaluates Riya’s statement?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which option correctly explains the student's error?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsA student says, “The decimal expansion of every irrational number is non-terminating and non-repeating.” How is this statement?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsA student claims that every non-terminating decimal is irrational. Which of the following numbers disproves this claim?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsReema says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct evaluation of Reema’s statement?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsA student says that every non-terminating decimal is irrational. Which of the following numbers proves the statement wrong?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsA number has the decimal expansion \(0.101001000100001\ldots\), in which the number of zeros between successive 1s keeps increasing. What type of number is it?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhich is an example of a non-terminating non-repeating decimal?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsReema says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which statement correctly explains her error?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsRavi wrote that \(0.101001000100001\ldots\) is a rational number because its digits follow an increasing pattern. What is the correct correction to Ravi’s statement?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsRiya says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct evaluation of Riya’s statement?Class 9Number SystemsIrrational numbersLevel 17Easy