解:(1)
+
×
,
=
×
+
×
,
=(
+
)×
,
=1×
,
=
;
(2)8÷(16+
),
=8÷16
,
=8×
,
=
;
(3)
-(
-
),
=
-
+
,
=(
+
)-
,
=1-
,
=
;
(4)27×(
+
)×25,
=27×25×
+27×25×
,
=75+27,
=102;
(5)8.5×
+7.5×75%,
=8.5×
+7.5×
,
=(8.5+7.5)×
,
=16×
,
=12;
(6)(
-
)×
÷6,
=(
-
)×
×
,
=
×
,
=
.
分析:(1)根據(jù)數(shù)字特點,把原式變?yōu)?img class='latex' src='http://thumb.zyjl.cn/pic5/latex/22186.png' />×
+
×
,運用乘法分配律的逆運算簡算;
(2)按運算順序計算,先算括號內(nèi)的,再算括號外的;
(3)運用減法的性質(zhì)把原式變?yōu)?img class='latex' src='http://thumb.zyjl.cn/pic5/latex/15700.png' />-
+
,再根據(jù)加法交換律與結(jié)合律簡算;
(4)運用乘法分配律簡算;
(5)把百分數(shù)化為分數(shù),運用乘法分配律的逆運算簡算;
(6)把除法改為乘法,括號內(nèi)與括號外同時進行計算,得到
×
,約分即可.
點評:此題是考查四則混合運算,要仔細觀察算式的特點,靈活運用一些定律進行簡便計算.