document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=358669>Question 358669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need to convert the following numbers from standard to scientific notation\r<BR>\n" );
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document.write( "54.0= <BR>\n" );
document.write( "4567=<BR>\n" );
document.write( "0.345000=<BR>\n" );
document.write( "10000000=<BR>\n" );
document.write( "0.009078<BR>\n" );
document.write( "2.3=<BR>\n" );
document.write( "thanks in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256003 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20086)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
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document.write( "54.0= \r\n" );
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document.write( "A.  Write the leftmost non-zero digit followed by a decimal\r\n" );
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document.write( "                   5.\r\n" );
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document.write( "B.  Write all the digits that follow it after the decimal, unless the decimal\r\n" );
document.write( "    is not showing, and there are trailing zeros.  If the decimal is showing\r\n" );
document.write( "    then include all trailing zeros.\r\n" );
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document.write( "                   Here the decimal is showing in the original, so we include\r\n" );
document.write( "                   the trailing zero\r\n" );
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document.write( "                   5.40\r\n" );
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document.write( "C.  Write × 10 after that\r\n" );
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document.write( "                   5.40 × 10\r\n" );
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document.write( "D.  Count the number of decimal places the original number is to the\r\n" );
document.write( "    right or left of the decimal you now have.  If it is to the right,\r\n" );
document.write( "    the exponent of 10 is that number taken positive.  If it is   \r\n" );
document.write( "    to the left it is taken negative.\r\n" );
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document.write( "                   The decimal of 54.0 is 1 place to the right of the\r\n" );
document.write( "                   decimal in 5.40, so we give the 10 the exponent 1\r\n" );
document.write( "                   taken positive, so the answer is \r\n" );
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document.write( "                   5.40 × 10<sup>1</sup> \r\n" );
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document.write( "-------------------------------------------------------\r\n" );
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document.write( "4567=\r\n" );
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document.write( "A.  Write the leftmost non-zero digit followed by a decimal\r\n" );
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document.write( "                   4.\r\n" );
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document.write( "B.  Write all the digits that follow it after the decimal, unless the decimal\r\n" );
document.write( "    is not showing, and there are trailing zeros.  If the decimal is showing\r\n" );
document.write( "    then include all trailing zeros.\r\n" );
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document.write( "                   The decimal was not showing so it was understood at the\r\n" );
document.write( "                   end as 4567.  There were no trailing zeros.\r\n" );
document.write( "                   \r\n" );
document.write( "                   4.567\r\n" );
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document.write( "C.  Write × 10 after that\r\n" );
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document.write( "                   4.567 × 10\r\n" );
document.write( "\r\n" );
document.write( "D.  Count the number of decimal places the original number is to the\r\n" );
document.write( "    right or left of the decimal you now have.  If it is to the right,\r\n" );
document.write( "    the exponent of 10 is that number taken positive.  If it is   \r\n" );
document.write( "    to the left it is taken negative.\r\n" );
document.write( "\r\n" );
document.write( "                   The decimal of 4567 is understood to be at the end\r\n" );
document.write( "                   so it is actually 4567. which is 3 places to the \r\n" );
document.write( "                   right of the decimal in 4.567, so we give the 10 the\r\n" );
document.write( "                   exponent 3 taken positive, so the answer is \r\n" );
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document.write( "                   4.567 × 10<sup>3</sup> \r\n" );
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document.write( "0.345000=\r\n" );
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document.write( "A.  Write the leftmost non-zero digit followed by a decimal\r\n" );
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document.write( "                   3.\r\n" );
document.write( "\r\n" );
document.write( "B.  Write all the digits that follow it after the decimal, unless the decimal\r\n" );
document.write( "    is not showing, and there are trailing zeros.  If the decimal is showing\r\n" );
document.write( "    then include all trailing zeros.\r\n" );
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document.write( "\r\n" );
document.write( "                   The decimal is showing in the original, so we\r\n" );
document.write( "                   retain all the trailing zeros.\r\n" );
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document.write( "                   3.45000\r\n" );
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document.write( "C.  Write × 10 after that\r\n" );
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document.write( "                   3.45000 × 10\r\n" );
document.write( "\r\n" );
document.write( "D.  Count the number of decimal places the original number is to the\r\n" );
document.write( "    right or left of the decimal you now have.  If it is to the right,\r\n" );
document.write( "    the exponent of 10 is that number taken positive.  If it is   \r\n" );
document.write( "    to the left it is taken negative.\r\n" );
document.write( "\r\n" );
document.write( "                   The decimal of 0.345000 is 1 place to the left of the\r\n" );
document.write( "                   decimal in 3.45000, so we give the 10 the exponent -1\r\n" );
document.write( "                   (taken negative because it's left), so the answer is \r\n" );
document.write( "\r\n" );
document.write( "                   3.45000 × 10<sup>-1</sup> \r\n" );
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document.write( "10000000=\r\n" );
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document.write( "A.  Write the leftmost non-zero digit followed by a decimal\r\n" );
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document.write( "                   1.\r\n" );
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document.write( "\r\n" );
document.write( "\r\n" );
document.write( "B.  Write all the digits that follow it after the decimal, unless the decimal\r\n" );
document.write( "    is not showing, and there are trailing zeros.  If the decimal is showing\r\n" );
document.write( "    then include all trailing zeros.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                   The decimal is not showing so we do not write any trailing\r\n" );
document.write( "                   zeros, so we still have only\r\n" );
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document.write( "                   1.\r\n" );
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document.write( "C.  Write × 10 after that\r\n" );
document.write( "\r\n" );
document.write( "                   1. × 10\r\n" );
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document.write( "D.  Count the number of decimal places the original number is to the\r\n" );
document.write( "    right or left of the decimal you now have.  If it is to the right,\r\n" );
document.write( "    the exponent of 10 is that number taken positive.  If it is   \r\n" );
document.write( "    to the left it is taken negative.\r\n" );
document.write( "\r\n" );
document.write( "                   The decimal of 10000000 is understood at the right end\r\n" );
document.write( "                   as 10000000. which is 7 places to the right of the\r\n" );
document.write( "                   decimal in 1., so we give the 10 the exponent 7\r\n" );
document.write( "                   taken positive, so the answer is \r\n" );
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document.write( "                   1 × 10<sup>7</sup> \r\n" );
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document.write( "                   We do not write the decimal at the right end of just 1\r\n" );
document.write( "                   digit. \r\n" );
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document.write( "0.009078\r\n" );
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document.write( "A.  Write the leftmost non-zero digit followed by a decimal\r\n" );
document.write( "\r\n" );
document.write( "                   9.\r\n" );
document.write( "\r\n" );
document.write( "B.  Write all the digits that follow it after the decimal, unless the decimal\r\n" );
document.write( "    is not showing, and there are trailing zeros.  If the decimal is showing\r\n" );
document.write( "    then include all trailing zeros.\r\n" );
document.write( "\r\n" );
document.write( "                   9.078\r\n" );
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document.write( "C.  Write × 10 after that\r\n" );
document.write( "\r\n" );
document.write( "                   9.078 × 10\r\n" );
document.write( "\r\n" );
document.write( "D.  Count the number of decimal places the original number is to the\r\n" );
document.write( "    right or left of the decimal you now have.  If it is to the right,\r\n" );
document.write( "    the exponent of 10 is that number taken positive.  If it is   \r\n" );
document.write( "    to the left it is taken negative.\r\n" );
document.write( "\r\n" );
document.write( "                   The decimal of 0.009078 is 3 places to the left of the\r\n" );
document.write( "                   decimal in 9.078, so we give the 10 the exponent -3\r\n" );
document.write( "                   (taken negative because it's left), so the answer is \r\n" );
document.write( "\r\n" );
document.write( "                   9.078 × 10<sup>-3</sup>\r\n" );
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document.write( "2.3=\r\n" );
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document.write( "A.  Write the leftmost non-zero digit followed by a decimal\r\n" );
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document.write( "                   2.\r\n" );
document.write( "\r\n" );
document.write( "B.  Write all the digits that follow it after the decimal, unless the decimal\r\n" );
document.write( "    is not showing, and there are trailing zeros.  If the decimal is showing\r\n" );
document.write( "    then include any trailing zeros.                  \r\n" );
document.write( " \r\n" );
document.write( "                   2.3\r\n" );
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document.write( "C.  Write × 10 after that\r\n" );
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document.write( "                   2.3 × 10\r\n" );
document.write( "\r\n" );
document.write( "D.  Count the number of decimal places the original number is to the\r\n" );
document.write( "    right or left of the decimal you now have.  If it is to the right,\r\n" );
document.write( "    the exponent of 10 is that number taken positive.  If it is   \r\n" );
document.write( "    to the left it is taken negative.\r\n" );
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document.write( "                   The decimal of 2.3 is 0 places to the right or left\r\n" );
document.write( "                   of the decimal in 2.3, so we give the 10 the exponent 0\r\n" );
document.write( "                   so the answer is \r\n" );
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document.write( "                   2.3 × 10<sup>0</sup>\r\n" );
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document.write( "Edwin</PRE> </SPAN>\n" );
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