document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189451>Question 189451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have read the text and it isn't enough information for me to solve this problem-Can someone please kindly help. Thank You.<BR>\n" );
document.write( "Determine all values of d that make the statement true.<BR>\n" );
document.write( "8|88,888,82d<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142159 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming that \"d\" is a digit (and not being multiplied) and \"d\" is a number from 0 to 9.\r<BR>\n" );
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document.write( "Note: the notation 8 | 88,888,82d reads \"8 divides 88,888,82d\" or in other words \"8 is a factor of 88,888,82d\" or \"88,888,82d is a multiple of 8\"\r<BR>\n" );
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document.write( "Now remember, the divisibility rule for 8 is: A number is divisible by 8 if the last 3 digits are divisible by 8.\r<BR>\n" );
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document.write( "For example, the number 512 is divisible by 8 since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=512%2F8=64 ALIGN=MIDDLE  ALT=\"512%2F8=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the number 1,212,512 is also divisible by 8 (since the last 3 digits are divisible by 8)\r<BR>\n" );
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document.write( "So all we need to look at is the last 3 digits of 88,888,82d to get 82d\r<BR>\n" );
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document.write( "Now we need to see which values of \"d\" will make 82d divide into 8. This means that we just need to check if the following numbers divide into 8:\r<BR>\n" );
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document.write( "820, 821, 822, 823, 824, 825, 826, 827, 828, and 829\r<BR>\n" );
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document.write( "You don't need to check any other numbers (since we've exhausted all of the possibilities of \"d\").\r<BR>\n" );
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document.write( "One of these numbers (and only one) divide into 8. Once you find that number, simply take the last digit and call it \"d\"\r<BR>\n" );
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document.write( "Ex: let's say that the answer is 828 (it's not, but let's say so). So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=82d=828 ALIGN=MIDDLE  ALT=\"82d=828\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=8 ALIGN=MIDDLE  ALT=\"d=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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