document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122085>Question 1122085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the real number property of the following questions?\r<BR>\n" );
document.write( "\n" );
document.write( "9(1/9)=1\r<BR>\n" );
document.write( "\n" );
document.write( "Commutitative, associative, identity, zero property of multiplication, or multiplication property of -1?\r<BR>\n" );
document.write( "\n" );
document.write( "I know it’s not either of the last two.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738136 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=738136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The commutative property of multiplication is the idea of multiplying two numbers in any order you want. Eg: 2*3 = 3*2 = 6. So we can rule out this property\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The associative property of multiplication is a*(b*c) = (a*b)*c which is similar to the commutative property above; but we're using parenthesis to group different pairs of terms. We can rule this out as well.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The identity property of multiplication is the idea of 1 multiplied by any number results in that same number. Example: 7 times 1 = 7. In general, the formula is 1*x = x*1 = x where x is any number. This is close to what we want, but not entirely there. So let's rule this out.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The zero property of multiplication states that multiplying any number by 0 leads to 0. So 0*x = x*0 = 0 regardless of what x is. We can rule this out.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Not sure what you mean by \"multiplication property of -1\". I think you meant to say \"multiplication property of 1\" where the 1 has been changed to positive rather than negative. This is restating the \"identity property of multiplication\". We can rule this out.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Unfortunately there are no other options left. The true answer is \"inverse property of multiplication\" or \"Multiplicative inverse property\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "That rule says x*(1/x) = (1/x)*x = 1 where x is any number but zero. Put another way, (a/b)*(b/a) = 1 where a & b are nonzero values. We cannot have zero in the denominator.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );