解:(1)149+587+51,
=(149+51)+587,
=200+587,
=787;
(2)75×0.5+15×0.5,
=(75+15)×0.5,
=90×0.5,
=45;
(3)(

-

)×45,
=

×45-

×45,
=15-9,
=6;
(4)8×

×12.5,
=8×12.5×

,
=100×

,
=60.
分析:(1)運(yùn)用加法交換律與結(jié)合律簡(jiǎn)算;
(2)運(yùn)用乘法分配律的逆運(yùn)算簡(jiǎn)算;
(3)根據(jù)數(shù)字特點(diǎn),運(yùn)用乘法分配律簡(jiǎn)算;
(4)運(yùn)用乘法交換律與結(jié)合律簡(jiǎn)算.
點(diǎn)評(píng):此題考查了運(yùn)算定律與簡(jiǎn)便計(jì)算,對(duì)于這類題目,應(yīng)注意審題,選擇合適的方法,進(jìn)行簡(jiǎn)算.