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 repeating part in the decimal 1.232323...?EasyLevel 14What type of decimal is (0.10100100010000\ldots)?EasyLevel 14If the decimal expansion of a rational number is terminating, what is its nature?EasyLevel 14Reena says that every non-terminating decimal is an irrational number. Which of the following examples proves her statement wrong?EasyLevel 14What is the decimal form of (\(\frac{2}{3}\))?EasyLevel 14What is the decimal form of ( \frac{5}{8} )?EasyLevel 14In the decimal (6.789), at which place is (8)?EasyLevel 14Which number is equal to (0.5)?EasyLevel 14Which of these is the greatest decimal number?EasyLevel 14Which of these is the smallest decimal number?EasyLevel 14Reena says, “Every non-terminating decimal is irrational.” Which of the following numbers disproves her statement?EasyLevel 14How do you write the decimal (0.04) as a fraction?EasyLevel 14Which mixed fraction form can represent (2.35)?EasyLevel 14In (0.007), at which place is (7)?EasyLevel 14If the denominator of a fraction is (25), what type of decimal expansion will it have?EasyLevel 14In simplest form, what type of decimal expansion will ( \frac{3}{40} ) have?EasyLevel 14In simplest form, what type of decimal expansion does ( \frac{5}{6} ) have?EasyLevel 14Which fraction will have a non-terminating recurring decimal expansion?EasyLevel 14What is obtained by converting (0.375) into a simplified fraction?EasyLevel 14Which decimal is equal to 11/100?EasyLevel 14