document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534183>Question 534183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use scientific notation to divide the following two numbers. Express the answer using sciectific notations; retain at least three decimal places.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285.2+%2A+10%5E7%29+%2F+%283.15+%2A+10%5E3%29 ALIGN=MIDDLE  ALT=\"%285.2+%2A+10%5E7%29+%2F+%283.15+%2A+10%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351381 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=351381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As calculations with scientific notations go, this is an easy one. (I am including a more complicated example below).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285.2+%2A+10%5E7%29+%2F+%283.15+%2A+10%5E3%29=%285.2+%2F+3.15+%29%28+10%5E7+%2F+10%5E3%29=1.651%2A+10%5E%287-4%29=1.651%2A+10%5E3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "However, a scientist would not report a result with that many decimal places. It would be too many significant figures, because the factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.2+%2A+10%5E7 ALIGN=MIDDLE  ALT=\"5.2+%2A+10%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is given with only two digits, which usually means that it comes from a measurement that is not precise and accurate enough to be certain of one more digit.<BR>\n" );
document.write( "EXAMPLE OF WHEN SCIENTIFIC NOTATION GETS A BIT MORE COMPLICATED:<BR>\n" );
document.write( "If it was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282.76+%2A+10%5E7%29+%2F+%283.15+%2A+10%5E3%29 ALIGN=MIDDLE  ALT=\"%282.76+%2A+10%5E7%29+%2F+%283.15+%2A+10%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a simple calculation, like the one above would give you a results that is not in scientific notation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282.76+%2A+10%5E7%29+%2F+%283.15+%2A+10%5E3%29=%282.76+%2F+3.15+%29%28+10%5E7+%2F+10%5E3%29=0.876%2A10%5E3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Scientific notation requires the number multiplied by the power of 10 to be 1 or more, but less than 10.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.876%2A10%5E3 ALIGN=MIDDLE  ALT=\"0.876%2A10%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not qualify, but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.876=8.76%2A%281%2F10%29=8.76%2A10%5E-1 ALIGN=MIDDLE  ALT=\"0.876=8.76%2A%281%2F10%29=8.76%2A10%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "so you do one more calculations to get to scientific notation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.876%2A10%5E3=%288.76%2A10%5E-1%29%2A10%5E3=8.76%2A10%5E2 ALIGN=MIDDLE  ALT=\"0.876%2A10%5E3=%288.76%2A10%5E-1%29%2A10%5E3=8.76%2A10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.76%2A10%5E2 ALIGN=MIDDLE  ALT=\"8.76%2A10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in scientific notation. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );