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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

What is the value of (0.375+0.0625)?MediumLevel 11What is the value of (5.5-2.875)?MediumLevel 11What type of decimal is (3.14114111411114\ldots)?MediumLevel 11A student says that every non-terminating decimal expansion is irrational. Which example disproves the statement?MediumLevel 11A student says, “If the denominator of a fraction has 3 as a factor, its decimal expansion is always non-terminating recurring.” Which fraction disproves this statement?MediumLevel 11In simplest form, what type of decimal expansion will ( \frac{44}{66} ) have?MediumLevel 11Which is the correct bar notation of (0.036036036\ldots)?MediumLevel 11Which statement about (0.0909\ldots) and (0.09) is correct?MediumLevel 11If 1000x = 7.25, what is the value of x?MediumLevel 11How is (0.875) written as a percentage?MediumLevel 11Which decimal is equal to ( \frac{11}{16} )?MediumLevel 11What is the place value of (5) in (12.3045)?MediumLevel 11In which option are all numbers non-terminating recurring?MediumLevel 11What is obtained when (0.0048) is converted into a simplified fraction?MediumLevel 11Which is the correct ascending order of 0.2, 0.0202, 0.022, and 0.202?MediumLevel 11Which is the expanded form of (5.6006)?MediumLevel 11Which is greater between ( \frac{13}{40} ) and (0.32)?MediumLevel 11A student says that \(0.272727\ldots\) is irrational because its decimal expansion does not terminate. Which is the correct correction to this statement?MediumLevel 11If ( \frac{p}{q} ) is in simplest form and (q=3^2\times5), what type of decimal expansion will it have?MediumLevel 11How many times is (0.007) of (0.0007)?MediumLevel 11