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 recurring part in 1.2303030...?MediumLevel 10A student claims that every non-terminating decimal expansion is irrational. Which example proves the claim wrong?MediumLevel 10In which option are all numbers terminating decimals?MediumLevel 10Which option can represent an irrational number?MediumLevel 10A student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which statement correctly explains the student's error?MediumLevel 10If ( \frac{p}{q} ) is in simplest form and (q=2^2\times3\times5), what type of decimal expansion will it have?MediumLevel 10How can the decimal (0.2\overline{7}) be written?MediumLevel 10How many times is (0.004) of (0.0004)?MediumLevel 10What is the decimal form of ( \frac{3}{32} )?MediumLevel 10What is the place value of (4) in (7.5408)?MediumLevel 10What is the place value of the first (9) in (0.09009)?MediumLevel 10What is obtained when (2.375) is written as a mixed fraction?MediumLevel 10Which number will be placed first in the ascending order of (0.2), (0.02), and (0.002)?MediumLevel 10What is obtained when (0.00125) is converted into a simplified fraction?MediumLevel 10Reema says that if the denominator of a fraction has a prime factor other than 2 and 5, then its decimal expansion is terminating. Which example shows Reema’s error?MediumLevel 10Which decimal is less than (0.7) but greater than (0.69)?MediumLevel 10Which decimal is not equal to (0.1250)?MediumLevel 10What is the recurring part of (4.505505505\ldots)?MediumLevel 10If, in the simplest form of a rational number \(\frac{p}{q}\), the denominator \(q\) has 3 as one of its prime factors, what will be the nature of its decimal expansion?MediumLevel 10In simplest form, what type of decimal expansion will ( \frac{35}{42} ) have?MediumLevel 10