document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346219>Question 346219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What properties of real numbers are used in each step following simplification? <BR>\n" );
document.write( ".25(3 x 4)=.25(4 x 3)<BR>\n" );
document.write( "=(.25 x 4) x 3<BR>\n" );
document.write( "= 1 x 3<BR>\n" );
document.write( "= 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247648 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3759)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=247648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .25(3 x 4)=.25(4 x 3)<BR>\n" );
document.write( "Here the order of the 3 and the 4 was changed. This is the Commutative Property of Multiplication.<BR>\n" );
document.write( "=(.25 x 4) x 3<BR>\n" );
document.write( "Here the grouping changed. This is the Associative Property of Multiplication.<BR>\n" );
document.write( "= 1 x 3<BR>\n" );
document.write( "Since .25 = 1/4 and since 1/4 and 4 are reciprocals their product is a 1. This is the Inverse Property of Multiplication.<BR>\n" );
document.write( "= 3<BR>\n" );
document.write( "Here we used the way multiplying by 1 works. Times 1 results in whatever the other number is. This is the Identity Property of Multiplication. </SPAN>\n" );
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