document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=989850>Question 989850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> **not really sorta a number line question**  what is the mean of the integers from -410 to 400. Please explain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #803161 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=803161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sum from -410 to 400: -1 - 2 ... -10 = -55\r<BR>\n" );
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document.write( "number of numbers: 400 - (-410) + 1 = 811\r<BR>\n" );
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document.write( "mean = -55/811\r<BR>\n" );
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document.write( "**My answer is correct. This questions for the mean of the INTEGERS FROM -410 to 400, not the integers -410 and 400 themselves.\r<BR>\n" );
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document.write( "-410 - 409 - 408 ... + 399 + 400 = (-400 - 399 ... - 1) + (1 + 2 + ... + 400) + (-10 - 9 - ... - 1)\r<BR>\n" );
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document.write( "The sum of the first 400 numbers cancel out, leaving only the sum from -1 to -10, which is -55.\r<BR>\n" );
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document.write( "You are right for the second part, however. I made a small calculation mistake. There are 811 numbers from -410 to 400, not 821. Next time, I would really appreciate your solution so I can understand my mistakes as well. </SPAN>\n" );
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