document.write( "Question 1208781: An iron atom has a mass of 1.79 × 10^−22 grams. A sample of iron has a mass of 9. 129 × 10^−3 grams?\r
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document.write( "Determine how many atoms are in the sample using scientific notation.
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document.write( "a. 7.339 × 10^−25
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document.write( "b. 7.339 × 10^20
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document.write( "c. 5.1 × 10^19
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document.write( "d. 5.1 × 10^−24 \n" );
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Algebra.Com's Answer #847233 by math_tutor2020(3816)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: C) 5.1 x 10^19\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Work Shown\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n = number of atoms \n" ); document.write( "(atom's weight)*(number of atoms) = total weight \n" ); document.write( "(atom's weight)*(n) = total weight \n" ); document.write( "n = (total weight)/(atom's weight) \n" ); document.write( "n = 9.129 x 10^(-3) divide 1.79 x 10^(-22) \n" ); document.write( "n = (9.129/1.79) x 10^(-3 - (-22) ) \n" ); document.write( "n = 5.1 x 10^(-3+22) \n" ); document.write( "n = 5.1 x 10^19\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you don't have your calculator with you, or you're in a hurry, then you can take advantage of the fact there is multiple choice. \n" ); document.write( "Focus on the 10^(-3) dividing over 10^(-22). As shown above, that evaluates to 10^19 which is present in choice C only. We can rule out the other options and don't need to calculate the 5.1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another thing to notice: \n" ); document.write( "9.129 is close to 10 \n" ); document.write( "1.79 is close to 2 \n" ); document.write( "10/2 = 5 which is close to 5.1 \n" ); document.write( " \n" ); document.write( " |