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
\n" ); document.write( "\n" ); document.write( "Determine how many atoms are in the sample using scientific notation.
\n" ); document.write( "a. 7.339 × 10^−25
\n" ); document.write( "b. 7.339 × 10^20
\n" ); document.write( "c. 5.1 × 10^19
\n" ); document.write( "d. 5.1 × 10^−24
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Algebra.Com's Answer #847233 by math_tutor2020(3816)\"\" \"About 
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\n" ); document.write( "Answer: C) 5.1 x 10^19\r
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\n" ); document.write( "\n" ); document.write( "Work Shown\r
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\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
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\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
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\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
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