document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390287>Question 390287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> based on the pattern,what would be the ones digit in the pordut 12 time 8 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276768 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is quite possible to solve without multiplying or a pattern.\r<BR>\n" );
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document.write( "12 is congruent to 2 modulo 10 (the remainder when 12 divided by 10 is 2), and 8 is 8 modulo 10. Therefore, 12*8 == 2*8(mod 10) == 16(mod 10) == 6(mod 10) so the units digit is 6.\r<BR>\n" );
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document.write( "(The == symbolizes a triple horizontal line, which is used to denote equalities in modular arithmetic) </SPAN>\n" );
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