document.write( "Question 199935: Hi, I'm really stuck on this one problem and are hoping you could help me out. Thanks in advance.(:\r
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document.write( "42/3*7-2(5*4+3)\r
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Algebra.Com's Answer #150301 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! Warning! Alan's solution is incorrect. \n" ); document.write( "Here is the correct solution by Edwin:\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Order of operations to be attended to:\r\n" ); document.write( "\r\n" ); document.write( "1. Parentheses\r\n" ); document.write( "2. Exponents\r\n" ); document.write( "3. Multiplications or divisions\r\n" ); document.write( "4. Additions or subtractions:\r\n" ); document.write( "\r\n" ); document.write( "We just do one thing at a time and copy everything else over:\r\n" ); document.write( "\r\n" ); document.write( "42/3*7-2(5*4+3)\r\n" ); document.write( "\r\n" ); document.write( "First we look for the highest order of operations that\r\n" ); document.write( "occurs. That's parentheses:\r\n" ); document.write( "\r\n" ); document.write( "We find 5*4+3 in parentheses, so that's where we start: \r\n" ); document.write( "\r\n" ); document.write( "Within that parentheses, the highest order of operations that\r\n" ); document.write( "occurs is multiplication, so we perform the 5*4 and replace\r\n" ); document.write( "it with 20, copying everything else over:\r\n" ); document.write( "\r\n" ); document.write( "42/3*7-2(20+3) \r\n" ); document.write( "\r\n" ); document.write( "Again we look for what's between parentheses:\r\n" ); document.write( "\r\n" ); document.write( "We find 20+3 in parentheses, \r\n" ); document.write( "\r\n" ); document.write( "Within that parentheses, the highest (ONLY!) order of operations \r\n" ); document.write( "that occurs is multiplication, so we perform the 20+3 and \r\n" ); document.write( "replace it with 23, and copy everything else over:\r\n" ); document.write( "\r\n" ); document.write( "42/3*7-2(23)\r\n" ); document.write( "\r\n" ); document.write( "Now since there is only one number inside that parentheses, \r\n" ); document.write( "we can erase the parentheses and just indicate the multiplication,\r\n" ); document.write( "copying everything else over:\r\n" ); document.write( "\r\n" ); document.write( "42/3*7-2*23\r\n" ); document.write( "\r\n" ); document.write( "Now the highest order of operations that appears is multiplication\r\n" ); document.write( "and division. Notice that multiplication and division are \r\n" ); document.write( "considered to be the same level.\r\n" ); document.write( "\r\n" ); document.write( "The first multiplication or division that we come to going left to\r\n" ); document.write( "right is the division 42/3 so we do that and get 14. We replace the\r\n" ); document.write( "42/3 by 14, and copy everything else over:\r\n" ); document.write( "\r\n" ); document.write( "14*7-2*23\r\n" ); document.write( "\r\n" ); document.write( "Now the first multiplication or division that we come to going left \r\n" ); document.write( "to right is the 14*7 so we do that and get 98. We replace the\r\n" ); document.write( "14*7 by 98\r\n" ); document.write( "\r\n" ); document.write( "98-2*23\r\n" ); document.write( "\r\n" ); document.write( "Now the first multiplication or division that we come to going left \r\n" ); document.write( "to right is the 2*23 so we do that and get 46. We replace the\r\n" ); document.write( "2*23 by 46.\r\n" ); document.write( "\r\n" ); document.write( "98-46\r\n" ); document.write( "\r\n" ); document.write( "Now there's only one subtraction left to do:\r\n" ); document.write( "\r\n" ); document.write( "52\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |