解:(1)1485+290÷58,
=1485+5,
=1490;
(2)0.125×32×0.25,
=(0.125×8)×(4×0.25),
=1×1,
=1;
(3)1080-63.58-36.42,
=1080-(63.58+36.42),
=1080-100,
=980;
(4)(

+

)×24,
=

24

24,
=8+6,
=14;
(5)168.1÷(4.3×2-0.4),
=168.1÷(8.6-0.4),
=168.1÷8.2,
=20.5;
(6)(

+

)÷(

-

),
=

÷

,
=

6,
=

,
=

.
分析:(1)1485+290÷58,根據(jù)整數(shù)四則混合運算的運算順序,先算除法再算加法;
(2)0.125×32×0.25,把32分解為8×4,再運用乘法交換律進行簡算;
(3)1080-63.58-36.42,根據(jù)減法的運算性質(zhì)進行簡算;
(4)(

+

)×24,運用乘法分配律進行簡算;
(5)168.1÷(4.3×2-0.4),根據(jù)小數(shù)四則混合運算的運算順序,按照小數(shù)四則運算的法則進行計算;
(6)(

+

)÷(

-

),根據(jù)分數(shù)四則混合運算的運算順序,按照分數(shù)四則運算的法則進行簡算;
點評:此題主要考查整數(shù)、小數(shù)、分數(shù)四則混合運算,注意運算順序和計算法則,靈活運用所學(xué)的運算定律、運算性質(zhì)進行簡便計算.