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 greater than ( \frac{2}{5} ) and less than ( \frac{1}{2} )?MediumLevel 12What is the descending order of (3.006), (3.060), (3.600), and (3.066)?MediumLevel 12What is the decimal form of ( \frac{53}{800} )?MediumLevel 12What is obtained when (0.00375) is converted into a simplified fraction?MediumLevel 12If (0.72b<0.728), what can be the greatest value of digit (b)?MediumLevel 12What is the recurring part of (6.020202\ldots)?MediumLevel 12What is the decimal form of ( \frac{43}{625} )?HardLevel 10What is obtained when (0.003125) is converted into a simplified fraction?HardLevel 10If ( \frac{p}{q} ) is in simplest form and (q=2^4\times5^2\times7), what type of decimal expansion will it have?HardLevel 10After simplifying ( \frac{91}{140} ), what type of decimal expansion will it have?HardLevel 10Which is the correct bar notation of (0.120303030\ldots)?HardLevel 10How is (0.3\overline{18}) written in ordinary decimal form?HardLevel 10Which is the decimal expansion of ( \frac{17}{22} )?HardLevel 10Among (0.417), ( \frac{5}{12} ), and (0.416\overline{6}), which is the greatest number?HardLevel 10If (0.47a>0.476), what can be the smallest value of digit (a)?HardLevel 10What type of decimal is (4.06006000600006\ldots)?HardLevel 10What is obtained when 0.00096 is converted into a simplified fraction?MediumLevel 10What is the decimal form of ( \frac{7}{64} )?HardLevel 10If the decimal expansion of ( \frac{18}{45} ) is found, which conclusion is correct?HardLevel 10Which is the expanded form of (2.5005)?HardLevel 10