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Without actual division find which of the following rational are terminating decimal 13 by 80 |
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Answer» Answer: We know that if the DENOMINATOR of a rational number has no prime factors other than 2 or 5, then it is expressible as a terminating, otherwise it has NON - terminating repeating decimal representation. THUS, we will have to check the prime factors of the denominators of each of the given rational numbers. In \frac{13}{80} 80 13
, the denominator is 80. We have, 80 = 2 × 2 × 2 × 2 × 5. Thus, 80 has only 2 and 5 as prime factors. |
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