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a rational number is in its decimal expansion 1.7112 what can you say about the prime factor of q when number is in the form of p/q |
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Answer» Step-by-step explanation: LET x = 1.7112x = 17112/ 10000 = p/qq = 10000q = ( 10 )⁴q = ( 2 × 5 )⁴q = 2⁴ × 5⁴ = 2^n × 5^mLet x = p/q be a RATIONAL number, such that the prime factorization ofq is of the FORM 2^n × 5^m , where n and m are non - NEGATIVE integers.Then x has a decimal expansion which terminates.I hope this helps you UwU |
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