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Prices are rounded down to the nearest multiple of 5 cents for sales ending in 1¢ & 2¢ (rounded to 0¢) and 6¢ & 7¢ (rounded to 5¢). Prices are rounded up to the nearest multiple of 5 cents for sales ending in 3¢ & 4¢ (round to 5¢) and 8¢ & 9¢ (round to 10¢). Values ending in 0¢ or 5¢ remain unchanged.
If it were not for the 0.5 fractional parts, the round-off errors introduced by the round to nearest method would be symmetric: for every fraction that gets rounded down (such as 0.268), there is a complementary fraction (namely, 0.732) that gets rounded up by the same amount.
Round-to-nearest: () is set to the nearest floating-point number to . When there is a tie, the floating-point number whose last stored digit is even (also, the last digit, in binary form, is equal to 0) is used. For IEEE standard where the base is , this means when there is a tie it is rounded so that the last digit is equal to .
“Penny (or 3 cents!) for your thoughts,” the post read. According to the U.S. Mint, ... meaning that merchants simply round prices up or down to the nearest five-cent increment. And even if ...
As posted prices generally include taxes, it is possible (but not standard) for vendors to round prices to the nearest five cents and eliminate the need for smaller-value coins. However, Finland, Ireland and the Netherlands have abandoned the use of one- and two-cent coins altogether, with the lowest-value coin in use being the five-cent coin ...
Cash transactions in Canada are now rounded to the nearest multiple of 5 cents. [53] The rounding is not done on each individual item, but on the total amount, with totals being rounded to the nearest multiple of 5, i.e., totals ending in 1 or 2 round down to 0, totals ending in 3, 4, 6, or 7 round to 5, and totals ending in 8 or 9 round up to ...
Amounts are rounded to the nearest 50 pesos. Cook Islands: 1 and 2 cents 5 cents: 1983 1994: 1993 30 April 2016: No: Production of 1- and 2-cent coins ceased in 1983 and were demonetized in 1993; 5-cent coin demonetized on 30 April 2016, along with previous coin issues. Costa Rica: 5 céntimos 10 céntimos 25 céntimos 50 céntimos 1 colón 2 ...
However the "round to nearest integer, and round ties towards zero" has mathematical applications (notably when computing the shortest continuous fractions of any rational number) because of its symetry: the round to nearest property allows the continuous fractions to be reduced to the smallest form (with less terms), and the symetry allows a ...