document.write( "Question 978507: In a recent year, 6.5x10^8 metric tons of wheat were produced in the world. One metric ton is equivalent to 1000 kilograms. A grain of wheat weighs about .000008 kilograms. Find the number of grains of wheat that were produced in the world. \r
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document.write( "Sorry, i didn't know what category to place it in! But i think it has something to do with scientific notation. Thanks!! :D \n" );
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Algebra.Com's Answer #599886 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! This is a unit conversion problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Given: 6.5 x 10^8 metric tons\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Abbreviations for units: \n" ); document.write( "KG = kilogram \n" ); document.write( "MT = metric ton\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Conversion factor: 1000 KG/1 MT\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply by the conversion factor to go from MT to KG\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(6.5 x 10^8 MT) * (1000 KG/1 MT) = (6.5 x 10^8)*(1 x 10^3) = 6.5 x 10^11 KG\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice how the MT units cancel\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, 6.5 x 10^8 MT = 6.5 x 10^11 KG\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "Now use the fact that \"A grain of wheat weighs about .000008 kilograms.\" to do another conversion\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Conversion factor: 1 grain/0.000008 KG\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply by the conversion factor to go from KG to number of grains\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(6.5 x 10^11 KG)*(1 grain/0.000008 KG) \n" ); document.write( "(6.5 x 10^11 KG)*(1 grain/8*10^(-6) KG) \n" ); document.write( "(6.5/8) x (10^11/10^(-6)) grains \n" ); document.write( "(0.8125) x 10^(11-(-6)) grains \n" ); document.write( "(0.8125) x 10^(11+6) grains \n" ); document.write( "(8.125 x 10^(-1)) x 10^(17) grains \n" ); document.write( "8.125 x 10^(-1+17) grains \n" ); document.write( "8.125 x 10^(16) grains\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer in scientific notation is 8.125 x 10^(16) grains of wheat\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Expand that all out, to write into standard form, to get 81,250,000,000,000,000 grains (8125 followed by 13 zeros) of wheat\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: In words, that large number above is eighty-one quadrillion, two hundred fifty trillion \n" ); document.write( " |