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 number lies between (2.15) and (2.16)?EasyLevel 15Which decimal is greater than 0.4 but less than 0.5?EasyLevel 15What is the bar notation of (0.272727\ldots)?EasyLevel 15What is the repeating part in (5.1333\ldots)?EasyLevel 15What is the recurring part in (2.4585858\ldots)?EasyLevel 15A student says that the decimal expansion of \(\frac{7}{30}\) will terminate because 30 is an even number. Which is the correct analysis of the error?EasyLevel 15In simplest form, what type of decimal expansion will ( \frac{7}{30} ) have?EasyLevel 15A student claims that every terminating decimal is irrational. Which of the following examples proves the claim wrong?EasyLevel 15Which of the following fractions, in its lowest form, has a terminating decimal expansion?EasyLevel 15Riya said, “0.125 is an irrational number because it has a decimal point.” Which is the correct correction of Riya’s statement?EasyLevel 15What is the form of the decimal expansion of ( \frac{5}{12} )?EasyLevel 15The decimal 0.625 is equal to which simplified fraction?EasyLevel 15What is obtained when (0.0125) is converted into a simplified fraction?EasyLevel 15What is obtained by converting (0.75) into a percentage?EasyLevel 15What is obtained by multiplying (3.5) by (10)?EasyLevel 15What is obtained by dividing (42.7) by (10)?EasyLevel 15What is the value of (0.36+0.4)?EasyLevel 15What is the value of (1.25-0.5)?EasyLevel 15Which number is greater between (0.05) and (0.005)?EasyLevel 15What is the whole-number part in the decimal (15.08)?EasyLevel 15