分析:(1)根據(jù)減法的性質(zhì)簡算;
(2)先同時運算兩個小括號里面的減法和乘法,再算括號外的除法;
(3)先把28分解成4×7,再運用乘法結(jié)合律簡算;
(4)先把99分解成100-1,再運用乘法分配律簡算;
(5)運用除法的性質(zhì)簡算;
(6)先算小括號里面的乘法,再算小括號里面的減法,最后算括號外的除法.
解答:解:(1)6854-(893+854+107),
=6854-854-(893+107),
=6000-1000,
=5000;
(2)(8300-6500)÷(15×60),
=1800÷900,
=2;
(3)28×19×25,
=4×7×19×25,
=(4×25)×(7×19),
=100×133,
=13300;
(4)327×99,
=327×(100-1),
=327×100-327×1,
=32700-327,
=32373;
(5)54000÷8÷125,
=54000÷(8×125),
=54000÷1000,
=54;
(6)(105×46-2427)÷27,
=(4830-2427)÷27,
=2403÷27,
=89.
點評:本題考查了四則混合運算,注意運算順序和運算法則,靈活運用所學(xué)的運算定律進行簡便計算.