document.write( "Question 290094: What is the inherent meaning and justification of cross-multiplication as it applies to solving an inequality? \n" ); document.write( "
Algebra.Com's Answer #209952 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Cross multiplication used to be frowned on by teachers because you aren't obviously doing the same thing to both sides.\r \n" ); document.write( "\n" ); document.write( "3/4=x/7 \n" ); document.write( "The proper way is to \n" ); document.write( "multiply both sides by 4 \n" ); document.write( "3*4/4=x*4/7 \n" ); document.write( "3=4x/7 \n" ); document.write( "then multiply both sides by 7 \n" ); document.write( "3*7=4x*7/7 \n" ); document.write( "simplify \n" ); document.write( "3*7=4x \n" ); document.write( "but with cross multiplication we skip the step of showing that we multiply one side by each number. \n" ); document.write( "3/4=x/7 \n" ); document.write( "we jump right to the result \n" ); document.write( "3*7=4x \n" ); document.write( "It is shorter and therefore preferred by students. \n" ); document.write( "However there is more chance of errors and not really understanding what you are doing and why.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |