①36×
-15×25%-0.25②15.8-
+14.2-
③(1+
)÷(1-
)④2.5×3.2×12.5.解:①36×
-15×25%-0.25,=36×0.25-15×0.25-0.25,
=(36-15-1)×0.25,
=20×0.25,
=5;
②15.8-
+14.2-
,=(15.8+14.2)-(
+
),=30-1,
=29;
③(1+
)÷(1-
),=
÷
,=
×
,=2;
④2.5×3.2×12.5,
=2.5×4×0.8×12.5,
=(2.5×4)×(0.8×12.5),
=10×10,
=100.
分析:①把分数和百分数化为小数,运用乘法分配律的逆运算简算;
②运用加法交换律和结合律以及减法的性质简算;
③现分别求出两个括号内的结果,然后相除即可;
④把3.2看作4×0.8,运用乘法结合律简算.
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.