document.write( "Question 189667This question is from textbook Elementary Algebra
\n" ); document.write( ": write the number in scientific notation: 1.there are approximately 25,000,000,000,000 red blood cells in the average person's bloodstream.
\n" ); document.write( "2.Uranium 236 is radioactive isotope of uranium and has a half -life of 23,420,000.
\n" ); document.write( "3.light with a wavelenght of 0.000000586 meter is uyellow in color.
\n" ); document.write( "4. Protons have a mass of 0.00000000000000000000000000167 kilograms.
\n" ); document.write( "will somebody please explain this to me I really need help. Thank you
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #142338 by Edwin McCravy(20059) $\"\"$ $\"About$
You can put this solution on YOUR website!
Edwin's solution:
\n" ); document.write( "
\r\n" );
document.write( "Rules for changing a number from ordinary notation to scientific notation.\r\n" );
document.write( "\r\n" );
document.write( "1. Locate the decimal point.  If none is showing place the decimal\r\n" );
document.write( "   point on the right end.\r\n" );
document.write( "\r\n" );
document.write( "25000000000000 has no decimal showing so we put\r\n" );
document.write( "one on the right end, like this \r\n" );
document.write( "\r\n" );
document.write( "25000000000000.\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "23420000 has no decimal showing so we put\r\n" );
document.write( "one on the right end, like this 23420000.\r\n" );
document.write( "\r\n" );
document.write( "0.000000586 shows its decimal.\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "0.00000000000000000000000000167 shows its decimal.\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "2. Starting at the far left find the first digit that isn't a zero. Put\r\n" );
document.write( "a red decimal just to the right of that digit.  (You can choose another\r\n" );
document.write( "color, or just make a different looking decimal there, maybe a little\r\n" );
document.write( "cross mark or something, or you can use a pencil to write one decimal\r\n" );
document.write( "and a pen to write the other one.  But I'll use a red decimal here)\r\n" );
document.write( "\r\n" );
document.write( "25000000000000.  The digit 2 is the first digit that isn't a zero.\r\n" );
document.write( "So we put a red decimal after that 2, like this:\r\n" );
document.write( "\r\n" );
document.write( "2.5000000000000.\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "23420000. The digit 2 is the first digit that isn't a zero.\r\n" );
document.write( "So we put a red decimal after that 2, like this:\r\n" );
document.write( "\r\n" );
document.write( "2.3420000.\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "0.000000586  The digit 5 is the first digit that isn't a zero.\r\n" );
document.write( "So we put a red decimal after that 5, like this:\r\n" );
document.write( "0.0000005.86\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "0.00000000000000000000000000167  The digit 1 is the first digit\r\n" );
document.write( "that isn't a zero. So we put a red decimal just to the right of \r\n" );
document.write( "that 1, like this:\r\n" );
document.write( "0.000000000000000000000000001.67    \r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "3.  Count the number of digits between the black decimal and the\r\n" );
document.write( "red decimal, and that will be the magnitude of the exponent of 10.\r\n" );
document.write( "\r\n" );
document.write( "2.5000000000000.  There are 13 digits\r\n" );
document.write( "between the black and red decimals. So the magnitude of the exponent\r\n" );
document.write( "of 10 is 13\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "2.3420000.  There are 7 digits between the\r\n" );
document.write( "black and red decimals. So the magnitude of the exponent\r\n" );
document.write( "of 10 is 7\r\n" );
document.write( "\r\n" );
document.write( "0.0000005.86  There are 7 digits between the\r\n" );
document.write( "black and red decimals. So the magnitude of the exponent\r\n" );
document.write( "of 10 is 7.\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "0.000000000000000000000000001.67  There are 27\r\n" );
document.write( "digits between the black and red decimals. So the magnitude of the exponent\r\n" );
document.write( "of 10 is 27\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "4. Now we determine whether the exponent is positive or negative.\r\n" );
document.write( "If the black decimal is on the right of the red decimal, the exponent\r\n" );
document.write( "of 10 is positive.\r\n" );
document.write( "If the red decimal is on the right of the black decimsl, the exponent\r\n" );
document.write( "of 10 is negative.\r\n" );
document.write( "\r\n" );
document.write( "2.5000000000000.  The black decimal is \r\n" );
document.write( "right of the red decimal so the exponent of 10 is positive, and is\r\n" );
document.write( "therefore +13  \r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "2.3420000. The black decimal is \r\n" );
document.write( "right of the red decimal so the exponent of 10 is positive, and is\r\n" );
document.write( "therefore +7  \r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "0.0000005.86  The red decimal is \r\n" );
document.write( "right of the black decimal so the exponent of 10 is negative, and is\r\n" );
document.write( "therefore -7  \r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "0.000000000000000000000000001.67  The red decimal is \r\n" );
document.write( "right of the black decimal so the exponent of 10 is negative, and is\r\n" );
document.write( "therefore -27. \r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "5. Erase the black decimal and trim any leading or trailing zeros.\r\n" );
document.write( "\r\n" );
document.write( "2.5000000000000. \r\n" );
document.write( "\r\n" );
document.write( "We erase the black decimal at the end\r\n" );
document.write( "\r\n" );
document.write( "2.5000000000000 \r\n" );
document.write( "\r\n" );
document.write( "Now we trim off all the trailing zeros:\r\n" );
document.write( "\r\n" );
document.write( "2.5\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "2.3420000.\r\n" );
document.write( "\r\n" );
document.write( "We erase the black decimal at the end\r\n" );
document.write( "\r\n" );
document.write( "2.3420000\r\n" );
document.write( "\r\n" );
document.write( "Now we trim off all the trailing zeros:\r\n" );
document.write( "\r\n" );
document.write( "2.342\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "0.0000005.86\r\n" );
document.write( "\r\n" );
document.write( "We erase the black decimal:\r\n" );
document.write( "\r\n" );
document.write( "00000005.86\r\n" );
document.write( "\r\n" );
document.write( "Now we trim off all the leading zeros:\r\n" );
document.write( "\r\n" );
document.write( "5.86\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "0.000000000000000000000000001.67\r\n" );
document.write( "\r\n" );
document.write( "We erase the black decimal:\r\n" );
document.write( "\r\n" );
document.write( "0000000000000000000000000001.67\r\n" );
document.write( "\r\n" );
document.write( "Now we trim off all the leading zeros:\r\n" );
document.write( "\r\n" );
document.write( "1.67\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "6. Finally we put \" ×10^{EXPONENT OF 10} \" after it:\r\n" );
document.write( "\r\n" );
document.write( "2.5 × 10¹³\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "2.342 × 10⁷\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "5.86 × 10^-7\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "1.67 × 10^-27\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );