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Terminating Decimals

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

MathematicsThe decimal expansion of \(\frac{43}{2^3\times5^5}\) will terminate after how many decimal places?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsRavi 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 representationLevel 19ExpertMathematicsWhich option is correct about the decimal expansion of \(\frac{13}{2^2\times5\times7}\)?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsWhich of the following rational numbers has a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsWhy is the decimal expansion of \(\frac{5}{6}\) not terminating?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsA 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 19ExpertMathematicsIf p/q is a rational number and p and q are coprime, when will its decimal expansion terminate?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsWhich of the following rational numbers will have a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsHow many decimal places will \(\frac{3}{2^4\times5^2}\) have when converted into decimal?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsA 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 19ExpertMathematicsWhat type of decimal expansion does \(\frac{1}{7}\) have?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsThe decimal expansion of \(\frac{7}{2^2\times5^3}\) will terminate after how many decimal places?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsWhich statement is correct about the decimal expansion of \(\frac{13}{40}\)?Class 9Number SystemsDecimal representationLevel 19ExpertMathematicsIf p/q is in simplest form and q = 2⁹ × 5¹², what is the maximum number of decimal places in the terminating decimal?Class 9Number SystemsDecimal representationLevel 12HardMathematicsWhich of the following rational numbers will have a terminating decimal expansion when written in its simplest form?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsIn simplest form, what type of decimal expansion will 242/605 have?Class 9Number SystemsDecimal representationLevel 12MediumMathematicsThe decimal (23.74999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsA student says that the decimal expansion of \(\frac{77}{480}\) will terminate because 480 is an even number. What is the student's error?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsThe decimal (19.874999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsIf a rational number \(\frac{p}{q}\) is in lowest terms, which condition is necessary and sufficient for its decimal expansion to terminate?Class 9Number SystemsDecimal representationLevel 11Expert