document.write( "Question 1204549: a uranium atom has a mass of 3.95 x 10^-22 grams. A sample of uranium has a mass of 9.085 x 10^-1 grams. Determine how many atoms are in the sample using scientific notation\r
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document.write( "please help I have a math test tomorrow \n" );
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Algebra.Com's Answer #840867 by math_tutor2020(3816)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "For the sake of a simple example, let's say that one single atom of uranium has a mass of 2 grams. \n" ); document.write( "Of course this is way too large but it's for illustrative purposes only.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we had a sample of 12 grams of uranium total, then we'd have 12/2 = 6 atoms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Or in terms of algebra \n" ); document.write( "2n = 12 \n" ); document.write( "n = 12/2 \n" ); document.write( "n = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's return back to real-world figures now. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We'll have n still represent the number of atoms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We multiply this value n with the mass of one atom of uranium. \n" ); document.write( "The expression (3.95x10^(-22))*n represents the total amount of mass, when we have n atoms of uranium. \n" ); document.write( "The x refers to multiplication and it's not a variable.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Set this equal to the stated total amount 9.085x10^(-1) and let's isolate n. \n" ); document.write( "(3.95x10^(-22))*n = 9.085x10^(-1) \n" ); document.write( "n = 9.085x10^(-1) divide (3.95x10^(-22)) \n" ); document.write( "n = (9.085/3.95) x 10^(-1 - (-22) ) \n" ); document.write( "n = 2.3 x 10^21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This number is really massive. We write 23 and then have 20 zeros after the number. \n" ); document.write( "The massive number is: n = 2,300,000,000,000,000,000,000 \n" ); document.write( "I started with 2.3 and then moved the decimal point 21 spots to the right to arrive at the large number shown above. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Scientific notation is best suited for massive numbers like this.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 2.3 x 10^21 atoms \n" ); document.write( " \n" ); document.write( " |