document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=843539>Question 843539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> scientific notation how would I work out this problem step by step 58,740<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508177 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=508177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Our answer will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.874+%2A+10%5En ALIGN=MIDDLE  ALT=\"5.874+%2A+10%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We need to find the number that n should be.<BR>\n" );
document.write( "Let's look at our number 58740.<BR>\n" );
document.write( "Certainly 5874 * 10 = 58740<BR>\n" );
document.write( "Also 587.4 * 100 = 58740<BR>\n" );
document.write( "This is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=587.4+%2A10%5E2 ALIGN=MIDDLE  ALT=\"587.4+%2A10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 58740<BR>\n" );
document.write( "58.74 * 1000 = 58740<BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=58.74+%2A+10%5E3+=+58740 ALIGN=MIDDLE  ALT=\"58.74+%2A+10%5E3+=+58740\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5.874 * 10000 = 58740<BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.874+%2A+10%5E4 ALIGN=MIDDLE  ALT=\"5.874+%2A+10%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice that if begin at the right side of 58740<BR>\n" );
document.write( "and count the number of positions until we end up<BR>\n" );
document.write( "between the 5 and 8 we will have moved 4 positions.<BR>\n" );
document.write( "This leads to our answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.874+%2A+10%5E4 ALIGN=MIDDLE  ALT=\"5.874+%2A+10%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looking at another problem, suppose<BR>\n" );
document.write( "we want 78,123,000,000 in scientific notation.<BR>\n" );
document.write( "Start at the right and count till we are between the 7 and 8.<BR>\n" );
document.write( "The count is 10, so<BR>\n" );
document.write( "78,123,000,000 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.8123%2A10%5E10 ALIGN=MIDDLE  ALT=\"7.8123%2A10%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Please let me know if this is clear. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );