解:(1)(

+

)×17×25,
=(

+

)×(17×25),
=(

×17×25)+(

×25×17),
=(4×25)+(1×17),
=100+17,
=117;
(2)8.1÷[(

-0.005×700)÷

+3],
=8.1÷[(

-3.5)÷

+3],
=8.1÷[

÷

+3],
=8.1÷[

+3],
=8.1÷3

,
=

;
(3)1234÷

,
=1234÷

,
=1234÷

,
=1234÷

,
=1234×

,
=

;
(4)9999×2222+3334×3333,
=3333×6666+3334×3333,
=3333×(6666+3334),
=3333×10000,
=33330000.
分析:(1)先把17×25結(jié)合在一起,再運用乘法分配律簡算;
(2)先算小括號里面的乘法,再算小括號里面的減法,然后算中括號里面的除法,再算中括號里面的加法,最后算括號外的除法;
(3)先根據(jù)帶分數(shù)化成假分數(shù)的方法,帶分數(shù)進行化簡,其中把分子運用乘法分配律簡算,然后根據(jù)分數(shù)除法的計算方法求解;
(4)先根據(jù)積不變規(guī)律把9999×2222變成3333×6666,再運用乘法分配律簡算.
點評:完成本題要注意分析式中數(shù)據(jù),運用合適的簡便方法計算.