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 is the expanded form of (6.3042)?MediumLevel 12What is the place value of (9) in (0.50709)?MediumLevel 12What is the recurring part in (0.23131313\ldots)?MediumLevel 12Which is the correct bar notation for 3.0454545...?MediumLevel 12When does a fraction \(\frac{p}{q}\) in lowest terms have a terminating decimal expansion?MediumLevel 12In simplest form, what type of decimal expansion will ( \frac{27}{320} ) have?MediumLevel 12Among (0.625), (0.0625), (0.6025), and (0.6205), which is the greatest number?MediumLevel 12What is the ascending order of (1.03), (1.003), (1.0303), and (1.300)?MediumLevel 12Which number lies between (0.718) and (0.719)?MediumLevel 12What is obtained when 0.00072 is converted into a simplified fraction?MediumLevel 12What is obtained when (0.875) is converted into a simplified fraction?MediumLevel 12Riya says that the decimal expansion of \(\frac{13}{40}\) is non-terminating because 40 is not a power of 10. What is Riya's error?MediumLevel 12Ravi says, “All non-terminating decimal expansions are irrational.” Which of the following examples disproves his statement?MediumLevel 12Which is the correct bar notation of (0.006006006\ldots)?MediumLevel 12What is the recurring part of 5.1020202...?MediumLevel 12What type of decimal is (2.7182818284\ldots) without fixed repetition?MediumLevel 12If ( \frac{p}{q} ) is in simplest form and (q=2^2\times5^3\times7), what type of decimal expansion will it have?MediumLevel 12Which of the following rational numbers, written in simplest form, will have a non-terminating recurring decimal expansion?MediumLevel 12A student claims that the decimal expansion of every rational number terminates. Which of the following numbers is a counterexample to this claim?MediumLevel 12Which is greater between 9/16 and 0.57?MediumLevel 12