解:(1)
×
+
×
,
=
×
+
×
,
=(
+
)×
,
=
×
,
=
;
(2)4.2×102-8.4,
=4.2×102-4.2×2,
=4.2×(102-2),
=4.2×100,
=420;
(3)
÷(1-
)×
,
=
÷
×
,
=
×
×
,
=
;
(4)36×
,
=36×
,
=36×(1-
),
=36-36×
,
=36-
,
=35
.
分析:(1)根據(jù)數(shù)字特點(diǎn),把原式變?yōu)?img class='latex' src='http://thumb.zyjl.cn/pic5/latex/62807.png' />×
+
×
,運(yùn)用乘法分配律簡(jiǎn)算;
(2)把8.4看4.2×2,運(yùn)用乘法分配律簡(jiǎn)算;
(3)先算括號(hào)內(nèi)的,然后把除法改為除法,約分計(jì)算;
(4)把分子88看作89-1,把分?jǐn)?shù)拆為“1-分?jǐn)?shù)單位”的形式,然后運(yùn)用乘法分配律簡(jiǎn)算.
點(diǎn)評(píng):此題主要考查分?jǐn)?shù)、小數(shù)的四則混合運(yùn)算的運(yùn)算順序和應(yīng)用運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算.