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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.
TOPIC PRACTICE
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Medium · Level 20 · reduced denominator,terminating decimal,concept checkView options
Terminating
Non-terminating recurring
Non-terminating non-recurring
Cannot be decided
Question 1MediumLevel 20
If \(\frac{a}{72}\) reduces to a fraction with denominator (8), what type of decimal expansion will it have?
Correct answer: A
Step 1: After reduction, the denominator is (8). Step 2: Since \(8=2^3\), the denominator has only (2). Step 3: Always make the final decision from the reduced denominator.
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