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
Which option is the value of ( \frac{37}{128}-0.1640625 )?ExpertLevel 11What is obtained by dividing 0.945 by 0.015?MediumLevel 11How is (0.0969696\ldots) written in bar notation?ExpertLevel 11Ravi says, “If the denominator of a fraction has 3 as a factor, its decimal expansion can never terminate.” Which of the following fractions proves Ravi’s statement wrong?ExpertLevel 11If ( \frac{p}{q} ) is in simplest form and (q=2^{10}), what is the maximum number of decimal places in the terminating decimal?ExpertLevel 11If ( \frac{p}{q} ) is in simplest form and (q=2^5\times5^8), what is the maximum number of decimal places in the terminating decimal?ExpertLevel 11What type of decimal is (0.08008000800008\ldots)?ExpertLevel 11What is obtained by converting (0.0048) into a percentage?ExpertLevel 11What is obtained by multiplying (0.0009765625) by (10000000)?ExpertLevel 11Which statement about 0.249̅, 0.25, and 1/4 is correct?HardLevel 11Which decimal is less than ( \frac{19}{32} ) but greater than (0.593)?ExpertLevel 11If a rational number \(\frac{p}{q}\) is in lowest terms, which condition is necessary and sufficient for its decimal expansion to terminate?ExpertLevel 11What is the decimal form of ( \frac{257}{64000} )?ExpertLevel 11What is obtained when (0.000234375) is converted into a simplified fraction?ExpertLevel 11If (0.7a56<0.7356), how many values of digit (a) are possible?ExpertLevel 11Which is the correct bar notation of 0.000727272…?MediumLevel 11What is the decimal form of ( \frac{191}{5120} )?ExpertLevel 12What is obtained when (0.00025390625) is converted into a simplified fraction?ExpertLevel 12If ( \frac{p}{q} ) is in simplest form and (q=2^4\times5^3\times23), what type of decimal expansion will it have?ExpertLevel 12After simplifying (264/440), what type of decimal expansion will it have?MediumLevel 12