解:①12.25-0.64-0.36+7.75,
=12.25+7.75-(0.64+0.36),
=20-1,
=19;
②3-
÷
-
,
=3
,
=3-(
),
=3-1,
=2;
③
×〔
-(
-
)〕,
=
[
],
=
×
,
=
;
④(
+
)×7+
,
=
7+
7
,
=4+(
),
=4+1,
=5.
分析:①12.25-0.64-0.36+7.75;根據(jù)加法結(jié)合律和減法的運(yùn)算性質(zhì),a-b-c=a-(b+c),據(jù)此進(jìn)行簡算;
②3-
÷
-
,先求出
的商,再根據(jù)減法的運(yùn)算性質(zhì),a-b-c=a-(b+c),進(jìn)行簡算;
③
×〔
-(
-
)〕;直接根據(jù)分?jǐn)?shù)四則混合運(yùn)算的運(yùn)算順序和計算法則進(jìn)行計算;
④(
+
)×7+
,首先根據(jù)乘法分配律,再根據(jù)加法結(jié)合律進(jìn)行簡算.
點(diǎn)評:此題主要考查小數(shù)、分?jǐn)?shù)四則混合運(yùn)算的運(yùn)算順序和它們的計算法則,以及根據(jù)整數(shù)的運(yùn)算定律、運(yùn)算性質(zhì)對小數(shù)、分?jǐn)?shù)四則混合運(yùn)算進(jìn)行簡便計算.