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Non Terminating 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 numbers, based on its decimal expansion, is irrational?Class 9Number SystemsIrrational numbersExpert MathematicsA student examines the number \(x=0.101001000100001\ldots\) and draws a conclusion about its type. Which of the following conclusions is correct?Class 9Number SystemsIrrational numbersHard MathematicsWhich of the following numbers has a decimal expansion that indicates it is an irrational number?Class 9Number SystemsIrrational numbersMedium MathematicsA student claims that the number 0.101001000100001... is rational because it contains only the digits 0 and 1. Which statement correctly corrects the student's claim?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which conclusion about this statement is correct?Class 9Number SystemsIrrational numbersMedium MathematicsRiya says that the number \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1, and the number of zeros between successive 1s keeps increasing by one. What is the correct evaluation of Riya's statement?Class 9Number SystemsIrrational numbersMedium MathematicsA student writes the number \(0.101001000100001\ldots\), in which the number of zeros before each successive 1 keeps increasing. Which statement about this number is correct?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct evaluation of this statement?Class 9Number SystemsIrrational numbersMedium MathematicsA student calls the number \(0.101001000100001\ldots\) rational because its decimal expansion is infinite. Which conclusion is correct?Class 9Number SystemsIrrational numbersMedium MathematicsReema says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which is the correct evaluation of her statement?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct evaluation of the student's statement?Class 9Number SystemsIrrational numbersMedium MathematicsReema says that the number \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct evaluation of Reema’s statement?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which conclusion is correct?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct conclusion?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the student's error?Class 9Number SystemsIrrational numbersMedium MathematicsWhich option represents an irrational number?Class 9Number SystemsIrrational numbersMedium 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 numbersMedium 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 numbersEasy 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 numbersEasy 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 numbersEasy