document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052142>Question 1052142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the distance between -8 and -1 on the number line and -3 and 6? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667555 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=667555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the distance between -8 and -1 would be equal to the absolute value of -1 - (-8) or the absolute value of -8 - (-1).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-1 - (-8) is equal to -1 + 8 which is equal to 8 - 1 which is equal to 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the absolute value of 7 is equal to 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-8 - (-1) is equal to -8 + 1 which is equal to - (8 - 1) which is equal to -7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the absolute value of -7 is equal to 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the distance between -8 and -1 is therefore 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can also draw a number line and count the distance between them as follows:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "assume each . is one unit.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "             .     .     .     .     .     .     .     . \r\n" );
document.write( "            -8    -7    -6    -5    -4    -3    -2    -1\r\n" );
document.write( "             .----->----->----->----->----->----->----->\r\n" );
document.write( "             <-----<-----<-----<-----<-----<-----<-----.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "starting form -8, it takes you 7 dots to get to -1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "starting from -1, it takes you 7 dots to get to -8.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the distance between them is therefore 7 dots which means the distance between them is 7 units.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "</pre>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the distance between -3 and 6 would be the absolute value of -3 - 6 or the absolute value of 6 - (-3).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-3 - 6 is equal to -9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the absolute value of -9 is equal to 9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "6 - (-3) is equal to 6 + 3 which is equal to 9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the absolute value of 9 is equal to 9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the distance between -3 and 6 is therefore equal to 9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can also draw the number lines as we did before and count the number of units to get from -3 to 6 as shown below:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "each unit is represented by a dot (dot = .).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "             .     .     .     .     .     .     .     .     .     . \r\n" );
document.write( "            -3    -2    -1     0     1     2     3     4     5     6\r\n" );
document.write( "             .----->----->----->----->----->----->----->----->----->\r\n" );
document.write( "             <-----<-----<-----<-----<-----<-----<-----<-----<-----.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "starting from -3, it takes you 9 dots to get to 6.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "starting from 6, it takes you 9 dots to get to -3.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the distance between them is therefore 9 dots which means the distance between them is 9 units.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the absolute value of any numbers is always positive.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the number is negative, you just reverse the sign to make it positive.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the number is positive, you just leave it as is because it's already positive.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );