解:①[3.2×(1-
)+
]×
,
=[3.2×
+
]×
,
=[1.2+0.6]×
,
=1.8×
,
=0.15;
②
+
+
+
,
=(
+
)+(
+
),
=1
;
③
×99,
=
×(97+2),
=
×97+
×2,
=43+
,
=43
;
④3.75×
+1.6×3
,
=3.75×0.4+1.6×3.75,
=3.75×(1.6+0.4),
=3.75×2,
=7.5;
⑤1÷2.5+2.5×0.4,
=0.4+10,
=10.4;
⑥
×16.31-2.31÷
,
=
×16.31-2.31×
,
=
×(16.31-2.31),
=
×14,
=10.
分析:①先算括號(hào)里的1-
,算括號(hào)外面的乘,算中括號(hào)里的加,最后算中括號(hào)外面的乘;
②利用乘法的交換律和結(jié)合律變成(
+
)+(
+
);
③把99變成(97+2),再利用乘法的分配律計(jì)算;
④把3
看做3.75,
看做0.4,利用乘法的分配律計(jì)算;
⑤按運(yùn)算順序乘和除同時(shí)計(jì)算,最后算加;
⑥按運(yùn)算順序乘和除同時(shí)計(jì)算,最后算減.
點(diǎn)評:考查了運(yùn)算定律與簡便運(yùn)算,四則混合運(yùn)算.注意運(yùn)算順序和運(yùn)算法則,靈活運(yùn)用所學(xué)的運(yùn)算律簡便計(jì)算.