document.write( "Question 875483: Express the number in normalized scientific notation:
\n" );
document.write( " 123.4 x 102
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #528220 by Theo(13342) You can put this solution on YOUR website! i'm assuming you mean:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "123.4 * 10^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the normalized form would be 1.234 * 10 raised to an exponent.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in order to make 1.234 equivalent to 123.4, you have to multiply it by 100.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get 1.234 * 100 = 123.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since 100 = 10^2, you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.234 * 10^2 = 123.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your original expression is 123.4 * 10^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace 123.4 with 1.234 * 10^2 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.234 * 10^2 * 10^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10^2 * 10^2 = 10^(2+2) = 10^4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your final expression is 1.234 * 10^4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.234 * 10^4 is equivalent to 123.4 * 10^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "use your calculator to confirm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i got:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.234 * 10^4 = 12340\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "123.4 * 10^2 = 12340\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they are the same. \n" ); document.write( " \n" ); document.write( " |