解:
(1)91×
,
=91×
+9×
-
×100,
=(91+9-100)×
,
=0×
,
=0;
(2)0.38×
,
=0.38×7-0.38+4×0.38,
=0.38×(7-1+4),
=0.38×10,
=3.8;
(3)2100
,
=2100÷[56×
-56×
],
=2100÷[24-21],
=2100÷3,
=700;
(4)
,
=[
÷
+
]×
,
=[
×
+
]×
,
=[
+
]×
,
=1×
,
=
.
分析:(1)根據(jù)分?jǐn)?shù)除法的意義,除以一個(gè)數(shù)等于乘上這個(gè)數(shù)的倒數(shù),把9÷17看作9×
,1÷17×100看作
×100,然后再根據(jù)乘法分配律進(jìn)行簡(jiǎn)算;
(2)把
化成小數(shù)是0.38,再根據(jù)乘法分配律進(jìn)行簡(jiǎn)算;
(3)中括號(hào)里面的根據(jù)乘法分配律進(jìn)行簡(jiǎn)算,最后再計(jì)算除法;
(4)先計(jì)算小括號(hào)里面的減法,再計(jì)算中括號(hào)里面的除法,再計(jì)算中括號(hào)里面的加法,最后計(jì)算中括號(hào)外面的乘法.
點(diǎn)評(píng):解決此類計(jì)算問題,先弄清它們之間的運(yùn)算順序,然后再進(jìn)一步計(jì)算,能簡(jiǎn)算的要簡(jiǎn)算.