document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064207>Question 1064207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of my digits is 12. when rounded off to the nearest hundred. i am 500. rounding the nearest 10 makes me 530. what am i? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679259 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=679259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are slight differences<BR>\n" );
document.write( "in math definitions from place to place,<BR>\n" );
document.write( "so it is important to use the math \"dialect\"<BR>\n" );
document.write( "of the person you are talking to.<BR>\n" );
document.write( "As different journals, and/or different disciplines use<BR>\n" );
document.write( "different ways to list references in a published paper,<BR>\n" );
document.write( "you have to follow the rounding rules of<BR>\n" );
document.write( "the author of the problem you posted.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Under the popular and simple rules used where I work right now,<BR>\n" );
document.write( "if the digit I am rounding to is followed by<BR>\n" );
document.write( "just a 5, or a 5 followed by one or more zeros,<BR>\n" );
document.write( "or a 5 followed by 1, 2, 3, or 4,<BR>\n" );
document.write( "I must simply round up.<BR>\n" );
document.write( "With that rule,<BR>\n" );
document.write( "the numbers 123.5, 123.500 and 123.51<BR>\n" );
document.write( "are all rounded to 124.<BR>\n" );
document.write( " <BR>\n" );
document.write( "However, I suspect the course this problem comes from<BR>\n" );
document.write( "follows a different, more complex, rule.<BR>\n" );
document.write( "I have also worked under a different rule,<BR>\n" );
document.write( "where a 5 as a dropped digit required looking at<BR>\n" );
document.write( "the previous digit, and the next digits.<BR>\n" );
document.write( "If there was a non-zero next digit,<BR>\n" );
document.write( "the rounding digit was increased,<BR>\n" );
document.write( "so that 123.51 was rounded to 124,<BR>\n" );
document.write( "and 124.51 was rounded to 125.<BR>\n" );
document.write( "If there was no next digit,<BR>\n" );
document.write( "or the 5 was followed by zero(s),<BR>\n" );
document.write( "the rounding digit was kept as was,<BR>\n" );
document.write( "or increased as needed to make it even.<BR>\n" );
document.write( "Under that rule, when rounding to the nearest 10,<BR>\n" );
document.write( "524 and 525 round down to 520,<BR>\n" );
document.write( "while 535 rounds up to 540,<BR>\n" );
document.write( "and the numbers 526, 527, ... , 534 round to 530.<BR>\n" );
document.write( "Of those numbers, only <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28534%29 ALIGN=MIDDLE  ALT=\"highlight%28534%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "has digits that add up to 12.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "According to the rounding rules most people use,<BR>\n" );
document.write( "there would be more than one solution,<BR>\n" );
document.write( "because under those rules<BR>\n" );
document.write( "all the numbers from 525 to 534,<BR>\n" );
document.write( "including 525 and 534,<BR>\n" );
document.write( "round to 530 when rounding to the nearest 10.<BR>\n" );
document.write( "Of those numbers,<BR>\n" );
document.write( "all of them round to 500 when rounding to the nearest 100, and<BR>\n" );
document.write( "for both, 525 and 534, the sum of digits is 12. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );