document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218355>Question 218355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Choose the correct answer: Always Sometimes Never\r<BR>\n" );
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document.write( "\"The product of a non-zero number and its opposite is zero.\"\r<BR>\n" );
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document.write( "I'm not sure how to figure this out, please help.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164453 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=164453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When they refer to a <u>non-zero</u> number, the they mean that the number is NOT zero (so it can be negative or positive as long as it's not zero).\r<BR>\n" );
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document.write( "Also, remember that the opposite of a positive number is negative. Conversely, the opposite of a negative is positive. Take note that neither opposite is zero.\r<BR>\n" );
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document.write( "So the question is: can you multiply a number and it's opposite to get zero if none of the numbers are zero? The answer is no. In order for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=0 ALIGN=MIDDLE  ALT=\"xy=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to be true, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be true. Since 'x' and 'y' are both non-zero, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%3C%3E0 ALIGN=MIDDLE  ALT=\"xy%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So \"The product of a non-zero number and its opposite is zero.\"  is NEVER true. </SPAN>\n" );
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