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
When (0.000078125) is compared with (0.0078125), how many times is (0.0078125)?ExpertLevel 12If (x=0.000\overline{54}), what is its ordinary decimal form?ExpertLevel 12A student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion contains only the digits 0 and 1. What is the correct correction to the student's statement?ExpertLevel 12In simplest form, what type of decimal expansion will ( \frac{132}{484} ) have?ExpertLevel 12The decimal (23.74999\ldots) is equal to which terminating decimal?ExpertLevel 12What is the place value of (6) in (8.090600)?ExpertLevel 12If (a=0.708), (b=0.780), (c=0.7008), which is the correct descending order?ExpertLevel 12Which option is the decimal value of ( \frac{47}{500}+\frac{23}{1280} )?ExpertLevel 12Which option is the value of ( \frac{59}{256}-0.10546875 )?ExpertLevel 12What is obtained by dividing 1.134 by 0.018?MediumLevel 12How is (0.0747474\ldots) written in bar notation?ExpertLevel 12A student writes the decimal number \(0.101001000100001\ldots\), in which the number of zeros between successive 1s is 1, 2, 3, 4, …. Which conclusion about this number is correct?ExpertLevel 12If ( \frac{p}{q} ) is in simplest form and (q=2^{11}), what is the maximum number of decimal places in the terminating decimal?ExpertLevel 12If ( \frac{p}{q} ) is in simplest form and (q=2^6\times5^9), what is the maximum number of decimal places in the terminating decimal?ExpertLevel 12What type of decimal is (0.06006000600006\ldots)?ExpertLevel 12What is obtained by converting (0.0064) into a percentage?ExpertLevel 12What is obtained by multiplying (0.00048828125) by (10000000)?ExpertLevel 12Which statement about 0.374̅9, 0.375, and 3/8 is correct?HardLevel 12Which decimal is greater than ( \frac{47}{128} ) and less than (0.368)?ExpertLevel 12In simplest form, what type of decimal expansion will 242/605 have?MediumLevel 12