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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 recurring part of (2.909090\ldots)?MediumLevel 11Among 0.875, 0.857, 0.8705, and 0.87, which is the greatest number?MediumLevel 11Which decimal is greater than ( \frac{1}{3} ) and less than ( \frac{1}{2} )?MediumLevel 11What is the decimal form of ( \frac{41}{200} )?MediumLevel 11What is the place value of the last 4 in 7.04004?MediumLevel 11What is obtained by multiplying (12.5) by (0.1)?MediumLevel 11What is the value of (0.36\div0.12)?MediumLevel 11Which decimal can be non-terminating non-recurring?MediumLevel 11A student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which evaluation of this statement is correct?MediumLevel 11How is (0.312312312\ldots) written in bar notation?MediumLevel 11If (x=0.608) and (y=0.068), which relation is correct?MediumLevel 11In simplest form, what type of decimal expansion will 45/150 have?MediumLevel 11Among (0.125), ( \frac{1}{9} ), and (0.12), which is the greatest number?MediumLevel 11What is the decimal form of ( \frac{27}{400} )?MediumLevel 11If (0.4a5>0.435), what is the smallest value of the digit (a)?MediumLevel 11What type of decimal is (1.02002000200002\ldots)?MediumLevel 11What is the decimal form of 17/200?MediumLevel 12Which is the decimal form of ( \frac{31}{400} )?MediumLevel 12What is obtained when (0.21875) is converted into a simplified fraction?MediumLevel 12What is obtained when (1.0625) is converted into an improper fraction?MediumLevel 12