document.write( "Question 206240This question is from textbook algebra 1 an integrated approach
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document.write( ": is the number 2.123112311123....a rational or irrational? explain your answer. \n" );
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Algebra.Com's Answer #155814 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! is the number 2.123112311123....a rational or irrational? explain your answer.\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( "Every rational number can either be represented by a terminating\r\n" ); document.write( "decimal or by a decimal that eventually repeats the same finite \r\n" ); document.write( "sequence of digits forever. Conversely every decimal that eventually\r\n" ); document.write( "repeats the same finite sequence of digits forever represents a \r\n" ); document.write( "rational number. {If you want to know why that is true, post again\r\n" ); document.write( "asking why; otherwise you'll just have to accept it as true.}\r\n" ); document.write( "\r\n" ); document.write( "The number 2.123112311123... is irrational. That's because this\r\n" ); document.write( "decimal value, assuming that pattern of increasing the number of \r\n" ); document.write( "1's each time continues forever, can never repeat the same finite \r\n" ); document.write( "sequence of digits forever. That's because you could always find\r\n" ); document.write( "a row of 1's longer than any finite sequence of digits that could\r\n" ); document.write( "repeat forever.\r\n" ); document.write( " \r\n" ); document.write( "Edwin\n" ); document.write( " |