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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 decimal form of ( \frac{137}{8000} )?ExpertLevel 10When (0.0003125) is compared with (0.03125), how many times is (0.03125)?ExpertLevel 10If (x=0.000\overline{63}), what is its ordinary decimal form?ExpertLevel 10A student claims that 0.1010010001… is a rational number because it uses only the digits 0 and 1. Which evaluation of the claim is correct?ExpertLevel 10In simplest form, what type of decimal expansion will ( \frac{84}{308} ) have?ExpertLevel 10The decimal (11.624999\ldots) is equal to which terminating decimal?ExpertLevel 10What is the place value of (9) in (5.070900)?ExpertLevel 10Which relation is correct among (0.421875), ( \frac{27}{64} ), and (0.421\overline{8})?ExpertLevel 10If (a=0.508), (b=0.580), (c=0.5008), which is the correct descending order?ExpertLevel 10Which option is the decimal value of ( \frac{23}{125}+\frac{13}{320} )?ExpertLevel 10Which option is the value of ( \frac{29}{64}-0.265625 )?ExpertLevel 10What is obtained by dividing 0.819 by 0.013?EasyLevel 10How is (0.0858585\ldots) written in bar notation?ExpertLevel 10Which of the following fractions will have a terminating decimal expansion even though its given denominator has 3 as a factor?ExpertLevel 10If p/q is in simplest form and q = 2^9, what is the maximum number of decimal places in the terminating decimal?MediumLevel 10If ( \frac{p}{q} ) is in simplest form and (q=2^4\times5^7), what is the maximum number of decimal places in the terminating decimal?ExpertLevel 10What type of decimal is (0.09009000900009\ldots)?ExpertLevel 10What is obtained by converting (0.0036) into a percentage?ExpertLevel 10What is obtained by multiplying (0.001953125) by (10000000)?ExpertLevel 10Which statement about 0.124̅9, 0.125, and 1/8 is correct?MediumLevel 10