document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=334191>Question 334191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many integers are there between 6 x 10^98 and 5 x 10^100 <BR>\n" );
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document.write( "a  4.94 x 10^100 -1 \r<BR>\n" );
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document.write( "b 4.94 x 10^99 -1 \r<BR>\n" );
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document.write( "c  4.94 x 10^98 -1 \r<BR>\n" );
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document.write( "d 494\r<BR>\n" );
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document.write( "e 493 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #239466 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=239466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "First change <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5\ \times\ 10^{100}\">\r<BR>\n" );
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document.write( "so that it is expressed in the same power of 10 that the other number is in.\r<BR>\n" );
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document.write( "So, reduce the exponent by 2, and move the decimal point two places right.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 500\ \times\ 10^{98}\">\r<BR>\n" );
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document.write( "Now that the decimal points line up, you can just subtract the numbers:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 500\ \times\ 10^{98}\ -\ 6\ \times\ 10^{98}\ =\ 494\ \times\ 10^{98}\">\r<BR>\n" );
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document.write( "But just subtracting two integers gives you the number of integers between them <i>including</i> one of the endpoints.  Since you want to eliminate <i>both</i> endpoints, you need to subtract 1 more unit.  Furthermore, you need to put the decimal point back where it belongs.\r<BR>\n" );
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document.write( "Hence:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (4.94\ \times\ 10^{100})\ -\ 1\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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