document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152889>Question 152889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when n is divided by 5, the remainder is 2 what is the remaninder when n+4 is divided by 5?\r<BR>\n" );
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document.write( "well I got n as 10 and did 10+4=14 then 14/5 which was 2.8 so I rounded to 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112357 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=112357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are asked to find a remainder.<BR>\n" );
document.write( "A number n/5 leaves a remainder of 2.<BR>\n" );
document.write( "What does (n+4)/5 leave as a remainder.\r<BR>\n" );
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document.write( "You took the approach of trying a few examples and then using that to deduce the answer. Not a bad way to go. But you made an early error.\r<BR>\n" );
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document.write( "You picked n = 10. If n=10, then n/5 does not leave a remainder of 2. 10 is evenly divisible by 5.\r<BR>\n" );
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document.write( "If you picked 12, then it would work. 12/5 leaves a remainder of 2.\r<BR>\n" );
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document.write( "What does (12+4)/5 leave as a remainder? <BR>\n" );
document.write( "16/5 leaves a remainder of 1.\r<BR>\n" );
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document.write( "If you start with other numbers that when divided by 5 leave a remainder of 2, you'll quickly see that any integers that have either 2 or 7 in the ones place, leave a remainder of 2.\r<BR>\n" );
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document.write( "So any number then ends in either 6 (2+4) or 1 (7+4=11, which ends in 1) leaves a remainder of 1.\r<BR>\n" );
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document.write( "As you get farther into mathematics you'll be introduced to modulo arithmetic. When that time comes, remember this problem :)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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