document.write( "Question 44839: Evaluate this problem:\r
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document.write( "-3/5[2-3-1/2(3/4-1/2)] \n" );
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Algebra.Com's Answer #29772 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! -3/5[2-3-1/2(3/4-1/2)]\r\n" ); document.write( "\r\n" ); document.write( "Do what is in the innermost parentheses first.\r\n" ); document.write( "\r\n" ); document.write( "-3/5[2-3-1/2(3/4-1/2)]\r\n" ); document.write( "\r\n" ); document.write( "When in the innermost parentheses\r\n" ); document.write( "Do the first exponential first. There are none\r\n" ); document.write( "Do the first multiplication or division going left to right.\r\n" ); document.write( "\r\n" ); document.write( "The first multiplication we come to is a division 3/4\r\n" ); document.write( "We divide 3 by 4 and get 0.75. So we replace 3/4 by 0.75\r\n" ); document.write( "\r\n" ); document.write( "-3/5[2-3-1/2(0.75-1/2)]\r\n" ); document.write( "\r\n" ); document.write( "We start over. We do what is in the innermost parentheses first.\r\n" ); document.write( "When in the innermost parentheses\r\n" ); document.write( "Do the first exponential first. There are none. So we\r\n" ); document.write( "Do the first multiplication or division going left to right.\r\n" ); document.write( "\r\n" ); document.write( "The first multiplication or division we come to is a division 1/2\r\n" ); document.write( "We divide 1 by 2 and get 0.5. So we replace 1/2 by 0.5\r\n" ); document.write( "\r\n" ); document.write( "-3/5[2-3-1/2(0.75-0.5)]\r\n" ); document.write( "\r\n" ); document.write( "We start over. We do what is in the innermost parentheses first.\r\n" ); document.write( "When in the innermost parentheses\r\n" ); document.write( "Do the first exponential first. There are none. So we\r\n" ); document.write( "Do the first multiplication or division going left to right.\r\n" ); document.write( "There are none. So we do the first addition or subtraction\r\n" ); document.write( "going left to right.\r\n" ); document.write( "\r\n" ); document.write( "The first addition or subtraction we come to is a subtraction \r\n" ); document.write( "0.75-0.5. So we subtract and get 0.25. So we replace 0.75-0.5\r\n" ); document.write( "by 0.25\r\n" ); document.write( "\r\n" ); document.write( "-3/5[2-3-1/2(0.25)]\r\n" ); document.write( "\r\n" ); document.write( "We start over. We do what is in the innermost parentheses first.\r\n" ); document.write( "The innermost parentheses (0.25) has nothing to do in it.\r\n" ); document.write( "So we go to the next innermost parentheses [2-3-1/2(0.25)]\r\n" ); document.write( "There are no exponents. So we do the first multiplication\r\n" ); document.write( "or division we come to left to right. That is the division\r\n" ); document.write( "1/2, so we replace 1/2 by 0.5\r\n" ); document.write( "\r\n" ); document.write( "-3/5[2-3-0.5(0.25)]\r\n" ); document.write( "\r\n" ); document.write( "We start over. We do what is in the innermost parentheses first.\r\n" ); document.write( "Again, the innermost parentheses (0.25) has nothing to do in it.\r\n" ); document.write( "So we go to the next innermost parentheses [2-3-0.5(0.25)]\r\n" ); document.write( "There are no exponents. So we do the first multiplication\r\n" ); document.write( "or division we come to left to right. That is the multiplication\r\n" ); document.write( "0.5(0.25) so we replace that by 0.125\r\n" ); document.write( "\r\n" ); document.write( "-3/5[2-3-0.125]\r\n" ); document.write( "\r\n" ); document.write( "We start over. We do what is in the innermost parentheses first.\r\n" ); document.write( "The innermost parentheses is [2-3-0.125].\r\n" ); document.write( "So we go to the next innermost parentheses [2-3-0.5(0.25)]\r\n" ); document.write( "There are no exponents. So we do the first multiplication\r\n" ); document.write( "or division we come to left to right. That is the multiplication\r\n" ); document.write( "0.5(0.25) so we replace that by 0.125\r\n" ); document.write( "\r\n" ); document.write( "-3/5[2-3-0.125]\r\n" ); document.write( "\r\n" ); document.write( "We start over. We do what is in the innermost parentheses first.\r\n" ); document.write( "The innermost parentheses is [2-3-0.125]. There are no exponents,\r\n" ); document.write( "mutiplicatrion or division in the parentheses, So we do the first\r\n" ); document.write( " addition or subtraction we come to left to right. That is the \r\n" ); document.write( "subtraction 2-3, so we replace 2-3 by -1\r\n" ); document.write( "\r\n" ); document.write( "-3/5[-1-0.125]\r\n" ); document.write( "\r\n" ); document.write( "We start over. We do what is in the innermost parentheses first.\r\n" ); document.write( "The innermost parentheses is [-1-0.125]. There are no exponents,\r\n" ); document.write( "mutiplications or divisions in the parentheses, So we do the first\r\n" ); document.write( " addition or subtraction we come to left to right. That is the \r\n" ); document.write( "subtraction -1-0.125, so we replace -1-0.125 by -1.125\r\n" ); document.write( "\r\n" ); document.write( "-3/5[-1.125]\r\n" ); document.write( "\r\n" ); document.write( "We start over. There is nothing to do in the parentheses. There are\r\n" ); document.write( "no exponents. So we do the first multiplication or division we come\r\n" ); document.write( "to. This is -3 divided by 5. So we replace -3/5 by -0.6\r\n" ); document.write( "\r\n" ); document.write( "-0.6[-1.125]\r\n" ); document.write( "\r\n" ); document.write( "The only thing left is this multiplication, so we do it and get\r\n" ); document.write( "\r\n" ); document.write( "0.675\r\n" ); document.write( "\r\n" ); document.write( "If you do it with fractions instead of decimals you get 27/40\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |