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Decimal Representation

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 MathematicsThe decimal expansion of \(\frac{43}{2^3\times5^5}\) will terminate after how many decimal places?Class 9Number SystemsDecimal representationExpert MathematicsWhich statement is correct about \(\frac{2}{7}\) and (0.285714285714...)?Class 9Number SystemsDecimal representationExpert MathematicsRavi says that if, in simplest form, a fraction has only 2 and 5 as prime factors of its denominator, then its decimal expansion terminates. Which of the following fractions is an example supporting his statement?Class 9Number SystemsDecimal representationExpert MathematicsWhich option is correct about the decimal expansion of \(\frac{13}{2^2\times5\times7}\)?Class 9Number SystemsDecimal representationExpert MathematicsWhich of the following rational numbers has a terminating decimal expansion?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 MathematicsIf p/q is a rational number and p and q are coprime, when will its decimal expansion terminate?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 of the following rational numbers will have a terminating decimal expansion?Class 9Number SystemsDecimal representationExpert MathematicsHow many decimal places will \(\frac{3}{2^4\times5^2}\) have when converted into decimal?Class 9Number SystemsDecimal representationExpert 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 MathematicsThe decimal expansion of \(\frac{7}{2^2\times5^3}\) will terminate after how many decimal places?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 MathematicsWhich statement is correct about the decimal expansion of \(\frac{13}{40}\)?Class 9Number SystemsDecimal representationExpert MathematicsWhich decimal can be considered an example of an irrational number?Class 9Number SystemsDecimal representationMedium MathematicsWhich option has a terminating decimal expansion?Class 9Number SystemsDecimal representationMedium