解:(1)10.15-6.25-3.75+7.85,
=10.15+7.85-(6.25+3.75),
=18-10,
=8;
(2)6.48÷[(3.3-2.7)×0.9],
=6.48÷[0.6×0.9],
=6.48÷0.54,
=12;
(3)
×(
+1÷
),
=
(
1×
),
=
,
=
,
=
;
(4)
×
+
÷8,
=
,
=(
)×
,
=1×
,
=
.
分析:(1)10.15-6.25-3.75+7.85,運(yùn)用加法交換律、結(jié)合律和減法的運(yùn)算性質(zhì)進(jìn)行簡算;
(2)6.48÷[(3.3-2.7)×0.9],按照小數(shù)四則混合運(yùn)算的運(yùn)算順序和小數(shù)四則運(yùn)算的計(jì)算法則進(jìn)行計(jì)算;
(3)
×(
+1÷
),按照分?jǐn)?shù)四則混合運(yùn)算的運(yùn)算順序和四則運(yùn)算的計(jì)算法則進(jìn)行計(jì)算;
(4)
×
+
÷8,把除數(shù)轉(zhuǎn)化為乘它的倒數(shù),再意義乘法分配律進(jìn)行簡算.
點(diǎn)評:此題主要考查小數(shù)、分?jǐn)?shù)四則混合運(yùn)算,完成本題要注意分析式中數(shù)據(jù),運(yùn)用合適的簡便方法計(jì)算.