document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=875486>Question 875486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the number in normalized scientific notation:<BR>\n" );
document.write( "    0.045 x 10^7\r<BR>\n" );
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document.write( "Answer: 4.5 x 10^9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528217 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=528217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .045 * 10^7\r<BR>\n" );
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document.write( "you need to get the number into scientific notation form which means 1 digit to the left of the decimal point and the rest of the dibits to the right of the decimal point.\r<BR>\n" );
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document.write( "your standard notation for will be 4.5 * something.\r<BR>\n" );
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document.write( "in order to get 4.5 to be equivalent to .045, you have to divide it by 100.\r<BR>\n" );
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document.write( "you get 4.5 / 100 = .045\r<BR>\n" );
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document.write( "since 100 is the same as 10^2, you get:\r<BR>\n" );
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document.write( "4.5 / 10^2 = .045\r<BR>\n" );
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document.write( "since 4.5 / 10^2 is the same as 4.5 * 1/10^2, you get:\r<BR>\n" );
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document.write( "4.5 * 1 / 10^2 = .045\r<BR>\n" );
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document.write( "since 1/10^2 is equivalent to 10^-2, you get:\r<BR>\n" );
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document.write( "4.5 * 10^-2 = .045\r<BR>\n" );
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document.write( "your original expression is .045 * 10^7\r<BR>\n" );
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document.write( "replace .045 with 4.5 * 10^-2 and you will get:\r<BR>\n" );
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document.write( "4.5 * 10^-2 * 10^7\r<BR>\n" );
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document.write( "since 10^-2 * 10^7 = 10^(-2+7) = 10^5, then your expression becomes:\r<BR>\n" );
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document.write( "4.5 * 10^5\r<BR>\n" );
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document.write( "use your calculator to see that 4.5 * 10^5 = 450,000\r<BR>\n" );
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document.write( "use you calculator to see that .045 * 10^7 = 450,000\r<BR>\n" );
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document.write( "this confirms that .045 * 10^7 is the same number as as 4.5 * 10^5.\r<BR>\n" );
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document.write( "you were correct that .045 * 10^2 is equal to 4.5, but you went the wrong way.\r<BR>\n" );
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document.write( "what you needed to do was figure out what you had to do to 4.5 in order to make it equivalent to the original number of .045.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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