document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70449>Question 70449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you simplify 3.6 x 10^6/9 x 10^-3 then write it in scientific notation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50252 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=50252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283.6+%2A+10%5E6%29%2F%289+%2A+10%5E-3%29 ALIGN=MIDDLE  ALT=\"%283.6+%2A+10%5E6%29%2F%289+%2A+10%5E-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "You deal with this problem in two different parts.  Part 1 consists of finding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.6%2F9 ALIGN=MIDDLE  ALT=\"3.6%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "When you do that division you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4 ALIGN=MIDDLE  ALT=\"0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the answer.  So now your problem is of the <BR>\n" );
document.write( "form:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4+%2A%2810%5E6%2F10%5E%28-3%29%29 ALIGN=MIDDLE  ALT=\"0.4+%2A%2810%5E6%2F10%5E%28-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now for Part 2.<BR>\n" );
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document.write( "When you multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5Ea+%2A+10%5Eb ALIGN=MIDDLE  ALT=\"10%5Ea+%2A+10%5Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" > you add the exponents to get an answer of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%28a%2Bb%29 ALIGN=MIDDLE  ALT=\"10%5E%28a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and when you divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5Ea%2F10%5Eb ALIGN=MIDDLE  ALT=\"10%5Ea%2F10%5Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" > you get an answer of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%28a-b%29 ALIGN=MIDDLE  ALT=\"10%5E%28a-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You problem calls<BR>\n" );
document.write( "for you to divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E6%2F10%5E%28-3%29 ALIGN=MIDDLE  ALT=\"10%5E6%2F10%5E%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > so you need to subtract the exponent in the denominator<BR>\n" );
document.write( "from the exponent in the numerator. So the answer to this problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%286-%28-3%29%29 ALIGN=MIDDLE  ALT=\"10%5E%286-%28-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%286%2B3%29+=+10%5E9 ALIGN=MIDDLE  ALT=\"10%5E%286%2B3%29+=+10%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So for the complete answer you need to multiply the answer for Part 1 times the answer for<BR>\n" );
document.write( "Part 2.  The result is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4+%2A+10%5E9 ALIGN=MIDDLE  ALT=\"0.4+%2A+10%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "One final step.  Scientific notation generally calls for one number to the left of the decimal<BR>\n" );
document.write( "point.  In this case you have no number to the left of the decimal point (zero doesn't count).<BR>\n" );
document.write( "So what you do is take away one ten from the exponent of 10, leaving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E8 ALIGN=MIDDLE  ALT=\"10%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and use that<BR>\n" );
document.write( "10 to multiply the 0.4 ... making it become 4.0.  So the final answer in scientific<BR>\n" );
document.write( "notation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.0+%2A+10%5E8 ALIGN=MIDDLE  ALT=\"4.0+%2A+10%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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