解:(1)5×32×12.5,
=5×4×8×12.5,
=(5×4)×(8×12.5),
=20×100,
=2000;
(2)8×5×(25-18 ),
=8×5×7,
=40×7,
=280;
(3)4.63+345+5.37+715,
=(4.63+5.37)+(345+715),
=10+1060,
=1070;
(4)17×58-58,
=(17-1)×58.
=16×58,
=928.
分析:(1)5×32×12.5 把32拆成4×8,再利用乘法的結(jié)合律變成(5×4)×(8×12.5)計(jì)算簡(jiǎn)便;
(2)8×5×(25-18 )先算括號(hào)里的25-18,再按從左到右的順序以此計(jì)算;
(3)4.63+345+5.37+715 利用加法的交換律和結(jié)合律變成(4.63+5.37)+(345+715)計(jì)算;
(4)17×58-58利用乘法的分配律變成(17-1)×58.
點(diǎn)評(píng):考查了運(yùn)算定律與簡(jiǎn)便運(yùn)算,四則混合運(yùn)算.注意運(yùn)算順序和運(yùn)算法則,靈活運(yùn)用所學(xué)的運(yùn)算律簡(jiǎn)便計(jì)算.