document.write( "Question 165708This question is from textbook Algebra 1 1/2 An Incremental Development Third Edition Saxon
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document.write( ": How do you convert 365,220 centimeters to kilometers using two unit multipliers \n" );
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Algebra.Com's Answer #122156 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! you would first convert centimeters to meters using the unit multiplier from the equation 100 centimeters = 1 meter. \n" ); document.write( "you would then convert meters to kilometers using the unit multiplier from the equation 1000 meters = 1 kilometer. \n" ); document.write( "----- \n" ); document.write( "the unit multiplier is a fraction that is always equal to 1. \n" ); document.write( "this comes from the general equation of a = b. \n" ); document.write( "if a = b, then a/b = 1, and b/a = 1. \n" ); document.write( "----- \n" ); document.write( "in your problem, you have 365220 centimeters. \n" ); document.write( "it is in centimeters and it is the numerator of the fraction 365220 / 1. \n" ); document.write( "----- \n" ); document.write( "the conversion equation from centimeters to meters is: \n" ); document.write( "100 centimeters = 1 meter. \n" ); document.write( "----- \n" ); document.write( "the unit multiplier can be either: \n" ); document.write( "100 centimeters / 1 meter \n" ); document.write( "or: \n" ); document.write( "1 meter / 100 centimeters \n" ); document.write( "----- \n" ); document.write( "since your number is the numerator and it is in centimeters, then the unit multiplier you want to use would be 1 meter / 100 centimeters. \n" ); document.write( "this keeps the denominator of the unit multiplier the same measure as the numerator of the number being converted. \n" ); document.write( "----- \n" ); document.write( "365220 centimeters * (1 meter / 100 centimeters) = 3652.20 meters. \n" ); document.write( "----- \n" ); document.write( "your number is now 3652.20 meters and you want to convert this to kilometers. \n" ); document.write( "----- \n" ); document.write( "the conversion equation from meters to kilometers is: \n" ); document.write( "1000 meters = 1 kilometer. \n" ); document.write( "----- \n" ); document.write( "the unit multiplier can be either: \n" ); document.write( "1000 meters / 1 kilometer \n" ); document.write( "or: \n" ); document.write( "1 kilometer / 1000 meters \n" ); document.write( "----- \n" ); document.write( "since your number is in meters and it is the numerator of the fraction 3652.20/1, you want your unit multiplier to have meters as the denominator. \n" ); document.write( "----- \n" ); document.write( "your unit multiplier would be 1 kilometer / 1000 meters. \n" ); document.write( "----- \n" ); document.write( "3652.20 meters * (1 kilometer / 1000 meters) = 3.65220 kilometers. \n" ); document.write( "----- \n" ); document.write( "conversion is complete. \n" ); document.write( "----- \n" ); document.write( "you started off in centimeters. \n" ); document.write( "you multiplied by 1 meter / 100 centimeters to convert to meters. \n" ); document.write( "you multiplied by 1 kilometer / 1000 meters to convert to kilometers. \n" ); document.write( "----- \n" ); document.write( "your answer is: \n" ); document.write( "365220 centimeters = 3.65220 kilometers \n" ); document.write( "----- \n" ); document.write( " \n" ); document.write( " |