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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 is the correct bar notation of (0.670808080\ldots)?ExpertLevel 12How is (5.209\overline{36}) written in ordinary decimal form?ExpertLevel 12A student claims that \(0.999\ldots\) is less than \(1\) because all its finite decimal forms, such as \(0.9\) and \(0.99\), are less than \(1\). Which is the correct evaluation of this claim?ExpertLevel 12Among (0.8189), ( \frac{9}{11} ), and (0.818\overline{1}), which is the greatest number?ExpertLevel 12If (0.94a7>0.9467), what can be the smallest value of digit (a)?ExpertLevel 12What is the decimal form of ( \frac{97}{2048} )?ExpertLevel 12What is obtained when (0.000546875) is converted into a simplified fraction?ExpertLevel 12What type of decimal expansion will 61/90 have?MediumLevel 12Which is the expanded form of (7.500005)?ExpertLevel 12What is the value of (0.864\div0.0018)?ExpertLevel 12What is the value of (15.009 − 8.34575)?MediumLevel 12What is the value of (0.5625+0.001953125+0.0000390625)?ExpertLevel 12The decimal (19.874999\ldots) is equal to which terminating decimal?ExpertLevel 12Which decimal is greater than ( \frac{41}{80} ) and less than ( \frac{19}{37} )?ExpertLevel 12A student says that the decimal expansion of \(\frac{77}{480}\) will terminate because 480 is an even number. What is the student's error?ExpertLevel 12The decimal (6.03003000300003…) can represent which type of number?HardLevel 12If (100000x=7.8125), what is the value of (x)?ExpertLevel 12What is the place value of (8) in (43.009008)?ExpertLevel 12What is the ascending order of (5.005), (5.0505), (5.0055), and (5.500)?ExpertLevel 12What is the decimal form of ( \frac{181}{32000} )?ExpertLevel 12