document.write( "Question 97799: Order from least to greatest.\r
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document.write( "4/11, 35%, 0.3666666666666 \n" );
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Algebra.Com's Answer #71145 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( ". \n" ); document.write( "4/11, 35%, 0.3666666666666 \n" ); document.write( ". \n" ); document.write( "To arrange these in descending order from greatest to least, start by converting them all \n" ); document.write( "to decimals. \n" ); document.write( ". \n" ); document.write( "First divide 4 by 11 to find the decimal equivalent of 4/11. When you do that division you \n" ); document.write( "get an answer of 0.36363636 ... \n" ); document.write( ". \n" ); document.write( "Next, 35% is equivalent to 35/100 = 0.35 \n" ); document.write( ". \n" ); document.write( "Finally, the third number you were given was already in the decimal form 0.366666666666 ... \n" ); document.write( ". \n" ); document.write( "By comparison you can see that the third number you were given is the largest because the \n" ); document.write( "third position to the right of the decimal point is a 6. It is, therefore, bigger than \n" ); document.write( "the decimal 0.363636363 in which the first and second positions (3 and 6) to the right of the \n" ); document.write( "decimal are the same but whose third position to the right of the decimal is 3, therefore \n" ); document.write( "making this number smaller than 0.3666666666666 .... And since 0.36363636 ... is 4/11, you \n" ); document.write( "know that 4/11 is smaller than 0.3666666666 ... which you were given. \n" ); document.write( ". \n" ); document.write( "Finally, 35% is 0.35 and this is obviously smaller than either of the other two numbers because \n" ); document.write( "their decimal forms begin with 0.36 .... and 0.35 is smaller than 0.36. \n" ); document.write( ". \n" ); document.write( "In fact, even if it were 36% it would be the smallest because in its third decimal \n" ); document.write( "position there is a zero ... you could say that 36% equals 36/100 which also equals \n" ); document.write( "0.360000. \n" ); document.write( ". \n" ); document.write( "So, from largest to smallest the answer is 0.36666666666 ...., 4/11, and 35%. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem and gives you some thoughts on how it can be \n" ); document.write( "solved. \n" ); document.write( ". \n" ); document.write( " |