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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 (0.704\div0.0016)?ExpertLevel 11What is the value of (12.006 − 7.21975)?MediumLevel 11What is the value of (0.28125+0.00390625+0.000078125)?ExpertLevel 11The decimal (13.24999\ldots) is equal to which terminating decimal?ExpertLevel 11Which decimal is greater than ( \frac{31}{64} ) and less than ( \frac{17}{35} )?ExpertLevel 11A student calls the number \(0.101001000100001\ldots\) a rational number. Which is the correct evaluation of the student's statement?ExpertLevel 11The decimal 4.06006000600006… can represent which type of number?HardLevel 11If (100000x=3.90625), what is the value of (x)?ExpertLevel 11What is the place value of (9) in (32.008009)?ExpertLevel 11What is the ascending order of (7.007), (7.0707), (7.0077), and (7.700)?ExpertLevel 11What is the decimal form of ( \frac{173}{16000} )?ExpertLevel 11When (0.00015625) is compared with (0.015625), how many times is (0.015625)?ExpertLevel 11If (x=0.000\overline{81}), what is its ordinary decimal form?ExpertLevel 11Which of the following rational numbers will have a non-terminating recurring decimal expansion when written in simplest form?ExpertLevel 11In simplest form, what type of decimal expansion will ( \frac{99}{363} ) have?ExpertLevel 11The decimal (17.374999\ldots) is equal to which terminating decimal?ExpertLevel 11What is the place value of (5) in (6.080500)?ExpertLevel 11Which relation is correct among (0.703125), ( \frac{45}{64} ), and (0.703\overline{1})?ExpertLevel 11If (a=0.609), (b=0.690), (c=0.6009), which is the correct descending order?ExpertLevel 11Which option is the decimal value of ( \frac{31}{250}+\frac{17}{640} )?ExpertLevel 11