解:(1)
×
-
÷12
=
×
-
×
,
=(
)×
,
=
,
=
;
(2)87÷
-
+14×0.875
=87×
-1×
+14×0.875,
=87×0.875-1×0.875+14×0.875,
=(87-1+14)×0.875,
=100×0.875,
=87.5;
(3)3
-
÷
-
=
-
-
,
=3
-
-
,
=3
-(
),
=3
-2,
=1
;
(4)
÷(
+
-
)
=
(
),
=
,
=
,
=
;
(5)
×(
+
)
=
×
+
,
=1+
,
=1
;
(6)[
÷
+(
÷9-
)]×
=[1+(
-
)]×
,
=[1+(
-
)]×
,
=[1+0]×
,
=
.
分析:算式(1)、(2)、(5)可以據(jù)根據(jù)乘法分配律進(jìn)行簡(jiǎn)便計(jì)算;
算式(3)計(jì)算乘法后,根據(jù)一個(gè)數(shù)減兩個(gè)數(shù)等于減去這兩個(gè)數(shù)的和的減法性質(zhì)進(jìn)行計(jì)算;
算式(4)、(6)根據(jù)四則混合運(yùn)算的運(yùn)算順序計(jì)算即可.
點(diǎn)評(píng):完成此類(lèi)題目要認(rèn)真分析式中數(shù)據(jù),運(yùn)用合適的簡(jiǎn)便方法進(jìn)行計(jì)算.