document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70917>Question 70917</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/013052316x/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Order the numbers in each list from least to greatest.\r<BR>\n" );
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document.write( "  5.01*10^-3, 4.8*10^-1, 0.52*10^-3, 56*10^-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50655 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=50655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Convert these back to actual numbers, one at a time:\r<BR>\n" );
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document.write( "5.01*10^-3<BR>\n" );
document.write( "The negative sign on the exponent tells you to move the decimal point to the left. The exponent<BR>\n" );
document.write( "\"3\" tells you to move the decimal 3 places.  So moving the decimal point 3 places to the<BR>\n" );
document.write( "left results in the number 0.00501<BR>\n" );
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document.write( "4.8*10^-1<BR>\n" );
document.write( "Because the exponent of 10  in -1 you know to move the decimal point 1 place to the left.<BR>\n" );
document.write( "Therefore this number is 0.48<BR>\n" );
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document.write( "0.52*10^-3<BR>\n" );
document.write( "The exponent of 10 tells you to move the decimal point 3 places to the left.  When you<BR>\n" );
document.write( "do you get the number 0.00052.<BR>\n" );
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document.write( "56*10^-2<BR>\n" );
document.write( "The exponent of 10 tells you to move the decimal two places to the left. Although <BR>\n" );
document.write( "you don't see the decimal point, the number is 56.0 and moving the decimal point to the<BR>\n" );
document.write( "left results in 0.56<BR>\n" );
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document.write( "Now you can arrange this list from least to greatest. When you do the result is:<BR>\n" );
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document.write( "0.00052<BR>\n" );
document.write( "0.00501<BR>\n" );
document.write( "0.48<BR>\n" );
document.write( "0.56<BR>\n" );
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document.write( "The corresponding arrangement of the original numbers given in the problem are:<BR>\n" );
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document.write( "0.52*10^-3<BR>\n" );
document.write( "5.01*10^-3<BR>\n" );
document.write( "4.8*10^-1<BR>\n" );
document.write( "56*10^-2<BR>\n" );
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document.write( "Hope this helps you to understand this type of notation and how to go back and forth<BR>\n" );
document.write( "between actual numbers and the number system that uses powers of 10.<BR>\n" );
document.write( " </SPAN>\n" );
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