Mathematics
Decimal expansion of rational numbers
परिमेय संख्याओं का दशमलव प्रसार
In Class 10 Mathematics, this topic from the Real Numbers chapter explains how rational numbers are represented in decimal form. Students learn to distinguish terminating decimals from non-terminating recurring decimals and determine the type of expansion by reducing a fraction to its simplest form and examining the prime factors of its denominator. The topic also develops accuracy in long division, fraction-to-decimal conversion, and understanding the relationship between rational numbers and their decimal representations.
Practice questions
Which number has a terminating decimal expansion (0.5)?Which of the following fractions will have a terminating decimal expansion?When does the decimal expansion of a fraction (\frac{p}{q}) in lowest form terminate?The decimal expansion of (\frac{13}{40}) will terminate after how many decimal places?What type of decimal expansion does (\frac{3}{6}) have?Which statement is correct about the decimal expansion of (\frac{7}{28})?Why is the decimal expansion of (\frac{5}{12}) non-terminating recurring?The decimal expansion of a rational number is always of which type?What is (0.125) as a fraction in simplest form?What is the decimal form of (\frac{2}{25})?Which is the correct decimal expansion of (\frac{6}{15})?After how many decimal places does (\frac{9}{20}) terminate?What is the decimal form of (\frac{7}{125})?How many decimal places are there in the terminating decimal expansion of (\frac{11}{16})?A fraction in lowest form with which denominator will surely have a terminating decimal expansion?Why does the decimal expansion of (\frac{1}{6}) not terminate?Choose the correct decimal form of (\frac{4}{625}).What is the decimal expansion of (\frac{37}{50})?Which statement is correct about (0.333\ldots)?Which is the decimal expansion of (\frac{21}{14})?