document.write( "Question 636935: Find the additive inverse of -9 on the 12-hour clock. \n" ); document.write( "
Algebra.Com's Answer #401323 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Add 12 to -9 to get 12+(-9) = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So -9 and 3 are the same number on the clock (ie going backwards 9 hours is the same as going forwards 3 hours...you land on 3 each time)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you must find a number x such that \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 + x = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for x:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 + x = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 + x - 3 = 0 - 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So -3 is the inverse of 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 12 to -3 to get 12+(-3) = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means that 9 is the inverse of -9\r \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "Useful shortcut:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The additive inverse of 'x' is -x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ex: x = 6 ---> additive inverse: -x = -6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ex: x = 7 ---> additive inverse: -x = -7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "etc etc \n" ); document.write( " |