document.write( "Question 474923: round $419,161 to the nearest $10,000 \n" ); document.write( "
Algebra.Com's Answer #325673 by Theo(13342) You can put this solution on YOUR website! Your number is 419,161. \n" ); document.write( "Placing the decimal point there helps to understand how to work the problem. \n" ); document.write( "The $10,000 digit would be 5 positions to the left of the decimal point. \n" ); document.write( "That digit would be the 1 digit. \n" ); document.write( "Since the next digit (the thousands digit) is a 9, round the 1 to a 2 and and then make all digits to the right of it equal to 0. \n" ); document.write( "$419,161.00 would round up to $420,000 \n" ); document.write( "If you have a calculator, you could simply divide $419,161.00 by $10,000 to get 41.9161. \n" ); document.write( "You would then round that up to 42 and multiply it by 10,000 to get $420,000. \n" ); document.write( "You could also use Scientific Notation to help you with it. \n" ); document.write( "$419,161 is equal to 41.91671 * 10^4. \n" ); document.write( "That rounds up to 42 * 10^4. \n" ); document.write( "That's the same technique used by dividing by 10,000 and rounding up and then multiplying by 10,000 again. \n" ); document.write( "Understanding how the number positions work helps also. \n" ); document.write( "The rightmost digit is the ones digit (multiply digit by 1). \n" ); document.write( "The next one to the left of that is the tens digit (multiply digit by 10). \n" ); document.write( "The next one to the left of that is the hundreds digit (multiply digit by 100). \n" ); document.write( "The next one to the left of that is the thousands digit (multiply digit by 1,000). \n" ); document.write( "The next one to the left of that is the ten thousands digit (multiply digit by 10,000). \n" ); document.write( "The next one to the left of that is the hundred thousands digit (multiply digit by 100,000). \n" ); document.write( "Your number if $419,161. \n" ); document.write( "That would be: \n" ); document.write( "4 * 100,000 \n" ); document.write( "+ 1 * 10,000 \n" ); document.write( "+ 9 * 1,000 \n" ); document.write( "+ 1 * 100 \n" ); document.write( "+ 6 * 10 \n" ); document.write( "+ 1 * 1 \n" ); document.write( "Note that the 1 after the 4 is the 10,000 digit. \n" ); document.write( "When you round to the nearest 10,000, then you are rounding to that digit. \n" ); document.write( "If the next digit is 5 or greater, then you round up 1 digit. \n" ); document.write( "If the next digit is less than 5, then you leave the digit as is. \n" ); document.write( "When round to the 10,000 digit, then all digits to the right of that become 0.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |