解:(1)2.5×3.2×25
=2.5×0.8×(4×25)
=2×100
=200;
(2)
+
+
++
=1
+
-
+
-
+…-
=1-
=
;
(3)
÷
+
×
=
×
+
×
=
×(
+
)
=
;
(4)[
-(
-
)]÷
=(
-
)÷
=
×
=
;
(5)5000-27÷18×106
=5000-1.5×106
=5000-159
=4841;
(6)(
-
+
)×45
=
×45-
×45+
×45
=15-9+12
=18
分析:(1)可把3.2拆成0.8×4,再運(yùn)用乘法結(jié)合律計(jì)算比較簡(jiǎn)便;
(2)觀察算式發(fā)現(xiàn),相鄰的兩個(gè)分母是2倍的關(guān)系,除
外都可以轉(zhuǎn)化成兩個(gè)數(shù)的差;如:
=1
,
=
-
,
=
-
…,依此類(lèi)推來(lái)計(jì)算.
(3)和(6)可運(yùn)用乘法分配律進(jìn)行計(jì)算比較簡(jiǎn)便;
(4)和(5)可按運(yùn)算順序進(jìn)行計(jì)算.
點(diǎn)評(píng):此題是考查簡(jiǎn)便計(jì)算,要仔細(xì)觀察算式的特點(diǎn),靈活運(yùn)用一些定律進(jìn)行簡(jiǎn)便計(jì)算.