document.write( "Question 966987: please help me understand how i round a number/decimal.
\n" );
document.write( "(the parenthesis is the number of the place value i'm suppose to round)\r
\n" );
document.write( "\n" );
document.write( "example:
\n" );
document.write( "3(2),264.246
\n" );
document.write( "4.(2)26
\n" );
document.write( "33(9)7.2 \n" );
document.write( "
Algebra.Com's Answer #591140 by KMST(5328)![]() ![]() You can put this solution on YOUR website! When you round, \n" ); document.write( "the digits to the right of the digit in parentheses are replaced by zeros \n" ); document.write( "(or are not written, if that makes sense). \n" ); document.write( "The digit in parentheses may stay the same or change \n" ); document.write( "(often the change is to go up by one), \n" ); document.write( "whichever makes the rounded number closest to the original number. \n" ); document.write( "For example, if I am drawing a floor plan, \n" ); document.write( "and I calculate that the width of a window in my drawing must be 4.249999 cm, \n" ); document.write( "I would round it to 4.2 cm, \n" ); document.write( "because 4.2 is between 4.2 and 4.3, but it is closer to 4.24999 than 4.3, \n" ); document.write( "but if the calculated number was 4.25001, I would round to 4.3, \n" ); document.write( "because 4.3 is closer to 4.25001 than 4.2. \n" ); document.write( "If the un-rounded number is 4.25 (or 4.2500), \n" ); document.write( "it is as close to 4.2 as it is to 4.3. \n" ); document.write( "In a case like that, it is customary to round up (4.25 is rounded to 4.3). \n" ); document.write( "The rounding \"recipe\" is to look at the digit right after the one you may be changing, \n" ); document.write( "and if that next digit is 5 or more, you change the digit. \n" ); document.write( "Otherwise, you keep it as it is. \n" ); document.write( " \n" ); document.write( "4.(2)26 is rounded to \n" ); document.write( "4.226 is between 4.2 and 4.3. \n" ); document.write( "It is closer to 4.2, so the rounded answer is \n" ); document.write( "The rounding \"recipe\" says that the (2) digit in parentheses is not changed, \n" ); document.write( "because the next digit is 2, which is not 5 or more. \n" ); document.write( " \n" ); document.write( "3(2),264.246 is rounded to \n" ); document.write( "32,000<32,264.246<33,000 \n" ); document.write( "It is easy to see that 32,000 is closer to 32,264.246 than 33,000. \n" ); document.write( "The rounding \"recipe\" says that the (2) digit in parentheses is not changed, \n" ); document.write( "because the next digit to the right is 2, which is not 5 or more than 5. \n" ); document.write( " \n" ); document.write( "33(9)7.2 is rounded to \n" ); document.write( "3397.2 is between 3390 and 3400. \n" ); document.write( "Because the digit to the right of (9) is 7, \n" ); document.write( "which is more than 5, we have to change the (9). \n" ); document.write( "Adding 1 to the 9 digit gives you 10, which is not a digit, \n" ); document.write( "but we \"carry the 1\", as if we were adding, and round to 3400. \n" ); document.write( " |