document.write( "Question 1208239: A sugar ant is approximately 2 × 10^−3 meters long. If you put 10 million sugar
\n" ); document.write( "ants in a line, what is the distance from end to end?
\n" ); document.write( " 200 meters
\n" ); document.write( " 2,000 meters
\n" ); document.write( " 20,000 meters
\n" ); document.write( " 200,000 meters
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Algebra.Com's Answer #846531 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "Answer: 20,000 meters\r
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\n" ); document.write( "\n" ); document.write( "Work Shown\r
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\n" ); document.write( "\n" ); document.write( "10 million = 10*(1 million)
\n" ); document.write( "= 10*10^6
\n" ); document.write( "= 10^1*10^6
\n" ); document.write( "= 10^(1+6)
\n" ); document.write( "= 10^7
\n" ); document.write( "In short, 10 million = 10^7.
\n" ); document.write( "Or put another way, 10 million = 10,000,000 = 1 followed by 7 zeros. The exponent tells us how many zeros are tacked onto the 1.\r
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\n" ); document.write( "\n" ); document.write( "a = 2*10^(-3) = length of one ant in meters
\n" ); document.write( "b = 10^7 = number of ants
\n" ); document.write( "c = a*b = total length, in meters, of that number of ants assuming no gaps or overlaps.
\n" ); document.write( "We also assume the ants form a straight line. \r
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\n" ); document.write( "\n" ); document.write( "c = a*b
\n" ); document.write( "c = 2*10^(-3)*10^7
\n" ); document.write( "c = 2*10^(-3+7)
\n" ); document.write( "c = 2*10^(4)
\n" ); document.write( "c = 2*10,000
\n" ); document.write( "c = 20,000 meters\r
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\n" ); document.write( "\n" ); document.write( "Notes:
  • I used the exponent rule a^b*a^c = a^(b+c).
  • 20,000 meters = 20 kilometers
  • 20 kilometers = 12.4274 miles approximately
  • 20 kilometers = 6,5616.7979 feet approximately
  • 2*10^(-3) meters = 0.002 meters = 2 mm
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