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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 relation is correct among (0.0625), ( \frac{1}{15} ), and (0.06\overline{6})?HardLevel 10If (a=0.204), (b=0.240), (c=0.2004), which is the correct descending order?HardLevel 10Which option is the decimal value of ( \frac{13}{125}+\frac{7}{40} )?HardLevel 10Which option is the value of 9/16 − 0.3125?MediumLevel 10What is obtained by dividing 0.625 by 0.025?EasyLevel 10How is (0.0454545\ldots) written in bar notation?HardLevel 10Which of the following rational numbers will have a terminating decimal expansion when written in its lowest form?HardLevel 10If ( \frac{p}{q} ) is in simplest form and (q=2^7), what is the maximum number of decimal places in the terminating expansion?HardLevel 10Reema says that \(0.999\ldots\) is less than 1 because \(0.9, 0.99, 0.999\), and so on, are all less than 1. Which statement best explains the error in her reasoning?HardLevel 10What type of decimal is (0.02002000200002\ldots)?HardLevel 10What is obtained by converting (0.0008) into a percentage?HardLevel 10What is obtained by multiplying (0.004096) by (100000)?HardLevel 10Which statement about 0.6, 0.59̅, and 3/5 is correct?MediumLevel 10Which decimal is less than ( \frac{7}{8} ) but greater than (0.873)?HardLevel 10If (0.8a7>0.837), how many values of digit (a) are possible?HardLevel 10What is the decimal form of ( \frac{37}{128} )?HardLevel 10What is the decimal form of ( \frac{57}{640} )?HardLevel 11What is obtained when (0.0003125) is converted into a simplified fraction?MediumLevel 11If ( \frac{p}{q} ) is in simplest form and (q=2^3\times5^4\times11), what type of decimal expansion will it have?HardLevel 11After simplifying (84/210), what type of decimal expansion will it have?MediumLevel 11