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Subjects

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 obtained by converting (0.075) into a percentage?MediumLevel 12What is obtained by dividing 12.06 by 1000?MediumLevel 12What is the value of (0.48\div0.006)?MediumLevel 12What is the value of (2.75+0.0875)?MediumLevel 12What is the value of (4.125-1.0625)?MediumLevel 12The decimal (8.040) is equal to which of the following?MediumLevel 12Which decimal is not equal to (0.0500)?MediumLevel 12In which option are all numbers rational?MediumLevel 12Which decimal can be the form of an irrational number?MediumLevel 12If (x=0.409) and (y=0.49), which relation is correct?MediumLevel 12If (0.6a3<0.653), what can be the greatest value of digit (a)?MediumLevel 12If (100x=3.75), what is the value of (x)?MediumLevel 12If 1000x = 64.8, what will be the value of x?MediumLevel 12A student says that \(0.101001000100001\ldots\) is a recurring decimal because 0 and 1 appear repeatedly in it. Which is the correct evaluation of the statement?MediumLevel 12Among (0.09), ( \frac{1}{11} ), and (0.091), which is the greatest number?MediumLevel 12Rima says that the decimal expansion of \(\frac{13}{30}\) will terminate because 30 has both 2 and 5 as factors. What is the error in Rima’s statement?MediumLevel 12After simplifying 28/98, what type of decimal expansion will it have?MediumLevel 12A student says that \(0.272727...\) is irrational because its digits do not end. Which is the correct analysis of the student's error?MediumLevel 12A student says that every non-terminating decimal represents an irrational number. Which of the following numbers proves the student’s statement wrong?MediumLevel 12What type of decimal is (0.120120012000120000\ldots)?MediumLevel 12