If it were not for the 0.5 fractions , the round-off errors introduced by the round to nearest method would be symmetric : for every fraction that gets rounded up ( such as 0.268 ) , there is a complementary fraction ( namely , 0.732 ) that gets rounded down by the same amount .
If it were not for the 0.5 fractions , the roundoff errors introduced by the round to nearest method would be quite symmetric : for every fraction that gets rounded up ( such as 0.268 ) , there is a complementary fraction ( namely , 0.732 ) that gets rounded down , by the same amount .