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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 (0.125\div0.0005)?HardLevel 10What is the value of (3.075-0.6085)?HardLevel 10What is the value of (0.0375+0.00625+0.000875)?HardLevel 10Which statement about (0.999\ldots) and (1) is correct?HardLevel 10Which decimal is greater than ( \frac{11}{20} ) and less than ( \frac{5}{9} )?HardLevel 10If (0.68b<0.684), how many values of digit (b) are possible?HardLevel 10What type of decimal expansion will ( \frac{37}{48} ) have?HardLevel 10Which number is rational but not a terminating decimal?HardLevel 10The decimal 9.04004000400004… can represent which type of number?HardLevel 10If 1000x = 0.875, what is the value of x?MediumLevel 10What is the place value of (3) in (12.03004)?HardLevel 10What is the ascending order of (4.006), (4.060), (4.600), and (4.066)?HardLevel 10Which option is definitely irrational?HardLevel 10What is the decimal form of ( \frac{29}{1600} )?HardLevel 10When (0.000125) is compared with (0.0125), how many times is (0.0125)?HardLevel 10If (x=0.0\overline{27}), what is its ordinary decimal form?HardLevel 10Which of the following rational numbers has a terminating decimal expansion even though its given denominator does not appear to be a product of powers of 2 and 5?HardLevel 10In simplest form, what type of decimal expansion will ( \frac{56}{154} ) have?HardLevel 10The decimal (0.124999\ldots) is equal to which terminating decimal?HardLevel 10What is the place value of (4) in (7.005400)?HardLevel 10