document.write( "Question 1126925: Round 143.064 to seven decimal places. (The horizontal bar is over the 64) \n" ); document.write( "
Algebra.Com's Answer #743273 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " __\r\n" ); document.write( "143.064\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "(overbar over 64) means the 64 repeats without end 143.06464646464….\r \n" ); document.write( "\n" ); document.write( "That number rounded to 7 decimal places is \n" ); document.write( "\n" ); document.write( "——————\r \n" ); document.write( "\n" ); document.write( "On a side note, if the digits repeat, then the number is rational (it can be expressed as a ratio of two integers). We can find that fraction as follows:\r \n" ); document.write( "\n" ); document.write( " Let x = 143.064646464…. \n" ); document.write( "1. 10x = 1430.646464…. \n" ); document.write( "2. 1000x = 143064.64646464…. \r \n" ); document.write( "\n" ); document.write( "eq 2 - eq 1 gives: \n" ); document.write( " 990x = 143064 - 1430 \n" ); document.write( " 990x = 141634 \n" ); document.write( " x = 141634/990 = \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |