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 decimal form of ( \frac{71}{2500} )?HardLevel 11When (0.00075) is compared with (0.075), how many times is (0.075)?HardLevel 11If (x=0.00\overline{45}), what is its ordinary decimal form?HardLevel 11Riya says, “If the denominator of a fraction in simplest form has a prime factor other than 2 or 5, then its decimal expansion repeats from immediately after the decimal point.” Which fraction below proves Riya’s statement wrong?HardLevel 11In simplest form, what type of decimal expansion will ( \frac{63}{231} ) have?HardLevel 11The decimal (5.74999\ldots) is equal to which terminating decimal?HardLevel 11What is the place value of (8) in (3.090800)?HardLevel 11Which relation is correct among (0.1875), ( \frac{3}{16} ), and (0.18\overline{7})?HardLevel 11If (a=0.306), (b=0.360), (c=0.3006), which is the correct descending order?HardLevel 11Which option is the decimal value of ( \frac{11}{125}+\frac{9}{80} )?HardLevel 11Which option is the value of (13/32 − 0.15625)?EasyLevel 11What is obtained by dividing 0.432 by 0.016?MediumLevel 11How is (0.0767676\ldots) written in bar notation?HardLevel 11If a rational number \(\frac{p}{q}\) is in its lowest form, when will its decimal expansion terminate?HardLevel 11If (p/q) is in simplest form and (q=5^8), what is the maximum number of decimal places in the terminating decimal?MediumLevel 11If ( \frac{p}{q} ) is in simplest form and (q=2^5\times5^2), what is the maximum number of decimal places in the terminating decimal?HardLevel 11What type of decimal is (0.05005000500005\ldots)?HardLevel 11What is obtained by converting (0.0016) into a percentage?HardLevel 11What is obtained by multiplying 0.0078125 by 1000000?EasyLevel 11If \(\frac{p}{q}\) is in lowest terms, when will its decimal expansion be non-terminating recurring?HardLevel 11