document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135027>Question 135027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tutor I am trying to learn how to do scientific notations:  Could you help me please?\r<BR>\n" );
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document.write( "(4.2*10^-2) (3.5*10^8)  would this be 4,200,000,000 times 3,500,000, how would I compute this and write it in scientific notation?\r<BR>\n" );
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document.write( "also 4.2*10^-6/7*10^8   4.2.10^-6/7.10^8 I don't know how to do this one or where do I start?\r<BR>\n" );
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document.write( "Karen\r<BR>\n" );
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document.write( "thank you for your help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98872 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=98872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given : (4.2*10^-2) (3.5*10^8) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E-2 ALIGN=MIDDLE  ALT=\"10%5E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.0.01 ALIGN=MIDDLE  ALT=\".0.01\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Think of it this way. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E0 ALIGN=MIDDLE  ALT=\"10%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "10^1 = 10<BR>\n" );
document.write( "10^2 = 100<BR>\n" );
document.write( "10^-1 = 0.1<BR>\n" );
document.write( "10^-2 = 0.01<BR>\n" );
document.write( "You can see that each number has the decimal point moved. For positive numbers, the decimal point moves one place to the right with each increase of 1. With negative numbers, the decimal moves one place to left with each decrease of 1.\r<BR>\n" );
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document.write( "For scientific notation, the \"number part\" is always between 1 and 10.\r<BR>\n" );
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document.write( "So <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284.2%2A10%5E-2%29+ ALIGN=MIDDLE  ALT=\"%284.2%2A10%5E-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is already in scientific notation. So is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283.5%2A10%5E8%29+ ALIGN=MIDDLE  ALT=\"%283.5%2A10%5E8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the same technique to solve the second one. Ping me if you can't get it\r<BR>\n" );
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document.write( "The value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284.2%2A10%5E-2%29+ ALIGN=MIDDLE  ALT=\"%284.2%2A10%5E-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 0.042 (decimal moved two place to the left.<BR>\n" );
document.write( "The value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283.5%2A10%5E8%29 ALIGN=MIDDLE  ALT=\"%283.5%2A10%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 350,000,000 (deicmal 8 place to the right)\r<BR>\n" );
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document.write( "To multiply the numbers, use the scientific notation form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284.2%2A10%5E-2%29%283.5%2A10%5E8%29 ALIGN=MIDDLE  ALT=\"%284.2%2A10%5E-2%29%283.5%2A10%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284.2%29%2A%283.5%29+%2A+10%5E%28-2%2B8%29 ALIGN=MIDDLE  ALT=\"%284.2%29%2A%283.5%29+%2A+10%5E%28-2%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14.7+%2A+10%5E6 ALIGN=MIDDLE  ALT=\"14.7+%2A+10%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "You are almost there now. The only thing left to do is make the 'number part' be between 1 and 10.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.47%2A10%5E1+%2A+10%5E6 ALIGN=MIDDLE  ALT=\"1.47%2A10%5E1+%2A+10%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.47%2A10%5E7 ALIGN=MIDDLE  ALT=\"1.47%2A10%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "Use the same technique for the second one. Just remember that when you divide, that is the same as subtracting exponents. Ping me by email if you can't get it. </SPAN>\n" );
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