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Subjects

Mathematics

Decimal representation

दशमलव निरूपण

In this Class 9 Mathematics topic from the Number Systems chapter, students learn how numbers are expressed in decimal form and how decimal expansions relate to rational and irrational numbers. They examine terminating and non-terminating decimals, identify repeating patterns, and connect decimal representations with fractions. The topic builds accuracy in comparing, interpreting, and converting numerical forms while strengthening understanding of the structure and properties of real numbers.

Practice questions

Which decimal is less than ( \frac{5}{8} ) but greater than (0.624)?HardLevel 11In simplest form, what type of decimal expansion will 96/180 have?MediumLevel 11What is the decimal form of ( \frac{83}{3200} )?HardLevel 11Which is the correct bar notation of (0.0181818...)?MediumLevel 11If (0.3a8\leq0.348), how many values of digit (a) are possible?HardLevel 11If ( \frac{p}{q} ) is in simplest form and (q=2^4\times5^9), what is the maximum number of decimal places in the terminating decimal?HardLevel 11What is the decimal form of ( \frac{73}{1250} )?HardLevel 12What is obtained when (0.00015625) is converted into a simplified fraction?HardLevel 12If ( \frac{p}{q} ) is in simplest form and (q=2^5\times5^3\times13), what type of decimal expansion will it have?HardLevel 12After simplifying 144/225, what type of decimal expansion will it have?MediumLevel 12Which is the correct bar notation of (0.34090909\ldots)?HardLevel 12How is (2.07\overline{36}) written in ordinary decimal form?HardLevel 12Which of the following fractions, in its simplest form, will have a non-terminating recurring decimal expansion?HardLevel 12Among (0.7084), ( \frac{17}{24} ), and (0.708\overline{3}), which is the greatest number?HardLevel 12If 0.6a4 > 0.674, what can be the smallest value of digit a?EasyLevel 12What type of decimal is (2.09009000900009\ldots)?HardLevel 12What is the decimal form of ( \frac{23}{256} )?HardLevel 12What is obtained when (0.0021875) is converted into a simplified fraction?HardLevel 12What type of decimal expansion will 41/60 have?MediumLevel 12Which is the expanded form of (8.20002)?HardLevel 12