Feb 15, 2011
Rounding Data
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The result of rounding off a number such as 72.8 to the nearest unit is 73, because 72.8 is closer to 73 than at 72. Similarly, 72.8146 rounded to the nearest hundred or two decimal position is 72.81, because 72.81 72.8146 closer to than to 72.82.
In rounding off the nearest keratusan 72.465, we are faced with a problem as far as 72.465 from 72.46 and 72.47. Has become the custom in such cases made up into an even number that precedes 5. So 72.465 rounded to 72.46; 183.575 rounded to 183.58; 116 500 000 rounded to the nearest million is 116 million. This habit is especially useful in meperkecil error (error) cumulative rounding when it comes to a large number of operations.
Example:
Add numbers 4.35, 8.65, 2.95, 12.45, 6.65, 7.55, 9.75. (A) directly, (b) with the nearest kepuluhan rounding in accordance with the agreement "round fulfilled", (c) by rounding to enlarge the number before 5.
Completion:
(A) 4.35 + 8.65 + 2.95 + 12.45 + 6.65 + 7.55 + 9.75 = 52.35 (B) 4.4 + 8.6 + 3.0 + 12.4 + 6.6 + 7.6 + 9.8 = 52.4 (C) 4.4 + 8.7 + 3.0 + 12.5 + 6.7 + 7.6 + 9.8 = 52.7
Note that procedure (b) is superior to procedure (c), due to an error (error) cumulative rounding minimized in the procedure (b). Sum of procedure (b) closer to the sum of (a) compared with the procedure (c).
In rounding off the nearest keratusan 72.465, we are faced with a problem as far as 72.465 from 72.46 and 72.47. Has become the custom in such cases made up into an even number that precedes 5. So 72.465 rounded to 72.46; 183.575 rounded to 183.58; 116 500 000 rounded to the nearest million is 116 million. This habit is especially useful in meperkecil error (error) cumulative rounding when it comes to a large number of operations.
Example:
Add numbers 4.35, 8.65, 2.95, 12.45, 6.65, 7.55, 9.75. (A) directly, (b) with the nearest kepuluhan rounding in accordance with the agreement "round fulfilled", (c) by rounding to enlarge the number before 5.
Completion:
(A) 4.35 + 8.65 + 2.95 + 12.45 + 6.65 + 7.55 + 9.75 = 52.35 (B) 4.4 + 8.6 + 3.0 + 12.4 + 6.6 + 7.6 + 9.8 = 52.4 (C) 4.4 + 8.7 + 3.0 + 12.5 + 6.7 + 7.6 + 9.8 = 52.7
Note that procedure (b) is superior to procedure (c), due to an error (error) cumulative rounding minimized in the procedure (b). Sum of procedure (b) closer to the sum of (a) compared with the procedure (c).
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