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Subjects

Mathematics

7: Decimal expansion of rationa numbers

परिमेय संख्याओं का दशमलव प्रसार

In this Class 10 Mathematics topic from the Real Numbers chapter, students explore how rational numbers are represented in decimal form. They learn to distinguish terminating decimals from non-terminating recurring decimals, convert fractions into decimals using division, and determine the type of expansion by examining the prime factors of a fraction’s denominator after reduction. The topic also connects decimal patterns with rational numbers and strengthens accuracy in calculations and mathematical reasoning.

Practice questions

If \(\frac{a}{72}\) reduces to a fraction with denominator (8), what type of decimal expansion will it have?