document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084051>Question 1084051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the additive and multiplicative inverse of a/b </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698118 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=698118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number zero does not change anything it is added to.<BR>\n" );
document.write( "You can call it the neutral number for addition.<BR>\n" );
document.write( "The additive inverse is what you have to add to get zero,<BR>\n" );
document.write( "so the additive inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb ALIGN=MIDDLE  ALT=\"-a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "A similar thing happens with multiplication.<BR>\n" );
document.write( "There is a neutral number that we call 1.<BR>\n" );
document.write( "whatever you have multiply times a number to get 1 is that number's multiplicative inverse.<BR>\n" );
document.write( "(The wrinkle is that zero does not have a multiplicative inverse).<BR>\n" );
document.write( "However, as long as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > exists and is not zero,<BR>\n" );
document.write( "it has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fa ALIGN=MIDDLE  ALT=\"b%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > as its multiplicative inverse. </SPAN>\n" );
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