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)\"\" \"About 
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 \"+highlight%28+143.0646465+%29+\"\r
\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 = \"+highlight%28+70817+%2F+495+%29+\" <<< exact value\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );