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 statement is correct about the decimal expansion of \(\frac{3}{28}\)?MediumLevel 1What type of decimal expansion does \(\frac{17}{125}\) have?MediumLevel 1What is the value of \(\sqrt{1.69}+\sqrt{0.09}\)?MediumLevel 2What is the correct statement about the decimal form of 8/13?MediumLevel 3What type of decimal is 29/200?MediumLevel 2What is the correct statement about the decimal form of 11/17?MediumLevel 3What is the correct statement about the decimal form of 33/160?MediumLevel 3What is the correct statement about the decimal form of 7/66?MediumLevel 3What type of decimal is 41/500?MediumLevel 3What will be the decimal expansion of the simplified form of 105/126?MediumLevel 1What is the decimal expansion of the simplified fraction \(\frac{35}{154}\)?MediumLevel 2What type of decimal expansion will the simplified form of rac{126}{224} have?HardLevel 2Which decimal expansion represents a rational number?HardLevel 3If (x=0.454545\ldots) then (x) isHardLevel 3Which number has a terminating decimal expansion?HardLevel 3(0.5000\ldots) is equal to?HardLevel 3If a rational number has an infinite decimal expansion then it will be?HardLevel 3Which decimal terminates?ExpertLevel 1Which decimal is recurring?ExpertLevel 1Which decimal expansion is non-terminating recurring?ExpertLevel 2