document.write( "Question 1200194: The Congressional Budget Office (CBO) calculates that 68 billion needs to be eliminated from the current budget of 3.4 trillion. What percentage needs to be cut from the budget? \n" ); document.write( "
Algebra.Com's Answer #834244 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: 2%\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reason: \n" ); document.write( "The jump from \"1 billion\" to \"1 trillion\" is \"times 1000\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 billion = 1,000,000,000 = 1 with 9 zeros \n" ); document.write( "1 trillion = 1,000,000,000,000 = 1 with 12 zeros \n" ); document.write( "The extra 3 zeros is from the \"times 1000\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Or you can use scientific notation which is probably the better way to go. \n" ); document.write( "This avoids the tedious busy-work of writing all those pesky zeros. \n" ); document.write( "1 billion = 1*10^9 \n" ); document.write( "1 trillion = 1*10^12 \n" ); document.write( "Notice how the exponents subtract to 12-9 = 3, showing a ratio of 10^3 = 1000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'm bringing this up because we can convert \"3.4 trillion\" into an equivalent format using \"billion\" as the unit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 trillion = 1000 billion \n" ); document.write( "3.4*1 trillion = 3.4*1000 billion \n" ); document.write( "3.4 trillion = 3400 billion\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then we divide the amount cut (68 billion) over the original budget (3400 billion). The units \"billion\" cancel out.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(68 billion)/(3400 billion) = 68/3400 = 0.02 \n" ); document.write( "Move the decimal spot over two spots to the right to get to the final answer of 2% \n" ); document.write( " \n" ); document.write( " |