document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=497688>Question 497688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> using the infinite series equation, explain how .9 repeating equals one. I tried to do it by myself, but I cannot figure it out. Please help me, but not give me a direct answer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414656 by </B><A HREF=/tutors/aboutme.mpl?userid=Evy+Hofbauer><B>Evy Hofbauer(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Evy+Hofbauer><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Evy+Hofbauer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=414656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/3 times 3 is equal to both so using equations,\r<BR>\n" );
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document.write( "1/3(3)=1/3(3)\r<BR>\n" );
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document.write( ".9 repeated =1/3(3)<BR>\n" );
document.write( "1= 1/3(3)\r<BR>\n" );
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document.write( ".9 repeated = 1\r<BR>\n" );
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document.write( "The infinite series equation for this...<BR>\n" );
document.write( "so .9 is 9/10 <BR>\n" );
document.write( ".99 is 99/100<BR>\n" );
document.write( ".999 is 999/1000<BR>\n" );
document.write( ".9999 is .9999/10000<BR>\n" );
document.write( "You can see where is am going with this... <BR>\n" );
document.write( "if not keep scrolling.. <BR>\n" );
document.write( ".9 + .09 + .009 + .0009 = .9999<BR>\n" );
document.write( ".09 = 9/100<BR>\n" );
document.write( ".009 = 9/1000<BR>\n" );
document.write( ".0009 = 9/10000<BR>\n" );
document.write( "so you are essentially adding <BR>\n" );
document.write( "9/10 + 9/100 + 9/1000 +9/10000 <BR>\n" );
document.write( "So the geometric series version is...\r<BR>\n" );
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document.write( "sum ( 9/(10)^n , n, 1, forever)  and..... = 1  </SPAN>\n" );
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