解:(1)125×4÷10-20,
=500÷10-20,
=50-20,
=30;
(2)7.1×15.4-5.4×7.1,
=7.1×(15.4-5.4),
=7.1×10,
=71;
(3)1.25×32×2.5,
=1.25×8×4×2.5,
=(1.25×8)×(4×2.5),
=10×10,
=100;
(4)

×

+


,
=

×

+

×

,
=(

+

)×

,
=1×

,
=

;
(5)1÷[

×(

-

)],
=1÷[

×

],
=1

,
=4;
(6)

,
=

×7+

×7+

,
=3+

+

,
=3+(

+

),
=3+5,
=8.
分析:(1)先算乘法,再算除法,最后算減法;
(2)運(yùn)用乘法分配律簡(jiǎn)算;
(3)先把32分解成8×4,再運(yùn)用乘法結(jié)合律簡(jiǎn)算;
(4)先把除法變成乘法,再運(yùn)用乘法分配律簡(jiǎn)算;
(5)先算小括號(hào)里面的減法,再算中括號(hào)里面的乘法,最后算括號(hào)外的除法;
(6)先運(yùn)用乘法分配律簡(jiǎn)算,再運(yùn)用加法結(jié)合律簡(jiǎn)算.
點(diǎn)評(píng):此題是考查四則混合運(yùn)算,要仔細(xì)觀察算式的特點(diǎn),靈活運(yùn)用一些定律進(jìn)行簡(jiǎn)便計(jì)算.