document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137969>Question 1137969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A spaceship traveled at a speed of 5,000 miles per hour for 30,000 hours. How many miles written in scientific notation did this spaceship travel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755836 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5000 = 5 * 10^3.\r<BR>\n" );
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document.write( "30,000 = 3 * 10^4.\r<BR>\n" );
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document.write( "5000 * 30,000 is therefore equal to 5 * 10^3 * 3 * 10^4.\r<BR>\n" );
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document.write( "this is equal to (5 * 3) * (10^3 * 10^4) which is equal to 15 * 10^7.\r<BR>\n" );
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document.write( "if you divide 15 by 10 and multiply 10^7 by 10, the result is the same number because you are dividing by 10 and multiplying by 10 which is equivalent to multiplying which keeps the same value as before.\r<BR>\n" );
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document.write( "therefore 15 * 10^7 is equal to 15/10 * 10^7 * 10 which is equal to 1.5 * 10^8.\r<BR>\n" );
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document.write( "that's how far the spaceship traveled in scientific notation.\r<BR>\n" );
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document.write( "1.5 * 10^8 is equivalent to 1.5 * 10^2 * 10^6 which is equivalent to 1.5 * 100 * 1 million which is equal to 150 million miles.\r<BR>\n" );
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document.write( "with big numbers such as this, it's much easier to use scientific notation.\r<BR>\n" );
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document.write( "you could also have used some logic to get to the same conclusion because these numebrs aren't that big that doing it another way is out of the question.\r<BR>\n" );
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document.write( "for example,\r<BR>\n" );
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document.write( "5000 * 30,000 is equal to 5 * 1000 * 30 * 1000 which is equal to 150 * 1000000 which is equal to 150 million.\r<BR>\n" );
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document.write( "150 million is equal to 150 * 10^6.\r<BR>\n" );
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document.write( "divide 150 by 100 and multiply 10^6 by 100 and you get 1.5 * 10^8 which is the same value as 150 million.\r<BR>\n" );
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document.write( "here's a reference on scientific notation.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.mathsisfun.com/numbers/scientific-notation.html\" target = \"_blank\">https://www.mathsisfun.com/numbers/scientific-notation.html</a>\r<BR>\n" );
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document.write( "here's another reference that also contains problems and solutions.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://lasp.colorado.edu/~bagenal/MATH/math1.html\" target = \"_blank\">http://lasp.colorado.edu/~bagenal/MATH/math1.html</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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