分析:①根據(jù)乘法交換律和結(jié)合律進行計算;
②先算減法,再算乘法,最后算除法;
③根據(jù)乘法分配律進行計算;
④把帶分?jǐn)?shù)化成假分?jǐn)?shù),然后再根據(jù)分?jǐn)?shù)除法的計算方法進行計算;
⑤去掉括號,原式變成20個1相加,再加上
×(1+2+3+…+20)然后再進一步計算.
解答:解:
①0.25×1.25×0.8×0.4,
=(0.25×0.4)×(1.25×0.8),
=0.1×1,
=0.1;
②
[(25%-)×]÷0.375,
=[
×
]÷0.375,
=
÷0.375,
=
;
③1990×198.9-1989×198.8,
=1990×198.9-198.9×1988,
=(1990-1988)×198.9,
=2×198.9,
=397.8;
④2007
÷2007+,
=2007÷
+
,
=2007÷
+
,
=2007÷
+
,
=2007×
+
,
=
+
,
=1;
⑤(1
+)+(1
+×2)+(1+
×3)+…+(1
+×20),
=1
++1
+×2+1+
×3+…+1
+×20,
=(1+1+1+…+1)+
×(1+2+3+…+20),
=20+
×[(1+20)×20÷2],
=20+
×210,
=20+36,
=56.
點評:考查了運算定律與簡便運算,四則混合運算.注意運算順序和運算法則,靈活運用所學(xué)的運算律簡便計算.