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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 (0.297\div0.0009)?HardLevel 12What is the value of (7.003-4.05875)?HardLevel 12What is the value of (0.078125+0.015625+0.0003125)?HardLevel 12The decimal (4.12999\ldots) is equal to which terminating decimal?HardLevel 12Which decimal is greater than ( \frac{17}{32} ) and less than ( \frac{8}{15} )?HardLevel 12A student says that \(0.272727\ldots\) is an irrational number because its decimal expansion does not end. Which statement is correct?HardLevel 12The decimal 5.02002000200002... can represent which type of number?MediumLevel 12If 10000x = 1.1875, what is the value of x?EasyLevel 12What is the place value of (6) in (18.07006)?HardLevel 12What is the ascending order of (8.008), (8.0808), (8.0088), and (8.800)?HardLevel 12What is the decimal form of ( \frac{89}{5000} )?HardLevel 12When (0.000625) is compared with (0.0625), how many times is (0.0625)?HardLevel 12If (x=0.00\overline{72}), what is its ordinary decimal form?HardLevel 12Reema says that \(0.\overline{27}\) is irrational because its decimal expansion is non-terminating. Which statement best explains Reema’s error?HardLevel 12In simplest form, what type of decimal expansion will ( \frac{72}{198} ) have?HardLevel 12The decimal (6.24999\ldots) is equal to which terminating decimal?HardLevel 12What is the place value of (7) in (4.080700)?HardLevel 12Which relation is correct among 0.3125, 5/16, and 0.31̅2?MediumLevel 12If (a=0.407), (b=0.470), (c=0.4007), which is the correct descending order?HardLevel 12Which option is the decimal value of ( \frac{17}{125}+\frac{11}{80} )?HardLevel 12