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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।

MathematicsWhich of the following rational numbers will have a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhich option is correct about the decimal expansion of \(\frac{13}{2^2\times5\times7}\)?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhich of the following rational numbers has a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsWhat type of number is the decimal \(0.101001000100001\ldots\)?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 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 of the following rational numbers will have a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 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 option is correct about \(\sqrt{3}\)?Class 9Number SystemsIrrational 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 MathematicsWhich statement is correct about the decimal expansion of \(\frac{13}{40}\)?Class 9Number SystemsDecimal representationLevel 19Expert MathematicsA student says that \(\sqrt{3}\) is irrational because its decimal expansion \(1.732\ldots\) continues endlessly. What is the main error in this argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Expert MathematicsA student calls \(\sqrt{2}\) irrational after seeing its decimal form 1.414213... . Which property must be proved to justify the conclusion?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Expert MathematicsRima says that \(\sqrt{3}\) is irrational because its decimal expansion continues infinitely. What is the main flaw in her argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 65Expert MathematicsWhich statement is correct about the decimal expansion of \(\sqrt{3}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Expert MathematicsHow would the decimal expansion of \(\sqrt{2}\) be classified?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Expert MathematicsWhich statement correctly identifies why \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Expert MathematicsReena says, “The decimal expansion of \(\sqrt{2}=1.414213\ldots\) is infinite, so it is irrational.” What is the most accurate evaluation of her reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Hard