解:(1)4.2-1.38+5.8-3.62,
=(4.2+5.8)-(1.38+3.62),
=10-5,
=5;
(2)2011
2-2011×2010,
=2011×2011-2011×2010,
=2011×(2011-2010),
=2011×1,
=2011;
(3)1-(

-

)×3,
=1-

×3,
=1-

,
=

;
(4)4×0.8×2.5×1.25,
=(4×2.5)×(0.8×1.25),
=10×1,
=10;
(5)(

+

)×

,
=

×

+

×

,
=2+

,
=2

;
(6)[(

+

)÷

]×

,
=[


]×

,
=

×

×

,
=

×

,
=

.
分析:(1)運(yùn)用加法結(jié)合律與減法的性質(zhì)簡(jiǎn)算;
(2)2011
2分解成2011×2011,然后用乘法分配律簡(jiǎn)算;
(3)先算小括號(hào)里面的減法,再算括號(hào)外的乘法,最后算括號(hào)外的減法;
(4)運(yùn)用乘法結(jié)合律簡(jiǎn)算;
(5)運(yùn)用乘法分配律簡(jiǎn)算;
(6)先算小括號(hào)里面的加法,然后把除法變成乘法,去掉括號(hào),運(yùn)用乘法交換律簡(jiǎn)算.
點(diǎn)評(píng):運(yùn)算定律是常用的簡(jiǎn)便運(yùn)算的方法,要熟練掌握,靈活運(yùn)用.