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Which of the following rational numbers has a terminating decimal expansion?निम्नलिखित में से किस परिमेय संख्या का दशमलव प्रसार समाप्त होता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{13}{40}\)\(\frac{13}{40}\)
In \(\frac{13}{40}\), the denominator is \(40=2^3\times5\), so its decimal expansion terminates. The denominator of \(\frac{7}{18}\) also contains 3, so it is non-terminating recurring. Exam tip: in lowest form, only 2 and 5 may occur in the denominator.\(\frac{13}{40}\) में हर 40 का अभाज्य गुणनखंडन \(2^3\times5\) है, इसलिए इसका दशमलव प्रसार समाप्त होता है। \(\frac{7}{18}\) के हर में 3 भी है, अतः वह अनावर्ती दशमलव देगा। परीक्षा टिप: सरल रूप के हर में केवल 2 और 5 हों।
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