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Which of the following rational numbers will have a terminating decimal expansion?निम्नलिखित में से किस परिमेय संख्या का दशमलव प्रसार सांत होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{21}{160}\)\(\frac{21}{160}\)
A rational number terminates only when its denominator in lowest form has prime factors 2 and 5 only. Since \(160=2^5\times5\), \(\frac{21}{160}\) terminates. Exam tip: a remaining factor such as 3, 7, or 11 makes the decimal non-terminating.सांत दशमलव के लिए सरल रूप में हर के अभाज्य गुणनखंड केवल 2 और 5 होने चाहिए। \(160=2^5\times5\) है, इसलिए \(\frac{21}{160}\) सांत है। परीक्षा टिप: हर में 3, 7 या 11 हो तो दशमलव सांत नहीं होता।
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