解:
①78÷[32×(1-
)+3.6],
=78÷[32×
+3.6],
=78÷[12+3.6],
=78÷15.6,
=5;
②
÷[(
-
)÷
],
=
÷[
÷
],
=
÷
,
=
;
③
×0.625+
×
+6.13+
,
=
×
+
×
+6.13+
,
=(
+
)×
+6.13+
,
=
×
+6.13+
,
=
+6.13+
,
=
+
+6.13,
=1+6.13,
=7.13;
④
+
+
+
+
+
,
=(
+
)+(
+
)+(
+
),
=
+
+
,
=1+
,
=1
;
⑤
+
+
+
+
,
=
×(
-
+
-
+
-
+
-
+
-
),
=
×(
-
),
=
×
,
=
;
⑥(1+
+
)×(
+
+
)-(1+
+
+
)×(
+
),
=1×(
+
+
)+(
+
)×(
+
+
)-1×(
+
)-(
+
+
)×(
+
),
=
+
+
+(
+
)×(
+
+
)-(
+
)-(
+
+
)×(
+
),
=
+
+
-(
+
)+[(
+
)×(
+
+
)-(
+
+
)×(
+
)],
=
+
+
-
-
,
=
.
分析:①先算減法,再算乘法,再算加法,最后算除法;
②先算減法,再算中括號里面的除法,最后算括號外面的除法;
③根據(jù)乘法分配律進(jìn)行計算;
④根據(jù)加法交換律和結(jié)合律進(jìn)行計算;
⑤根據(jù)分?jǐn)?shù)的拆項進(jìn)行計算;
⑥把(
+
),(
+
+
),分別看作一個整體,再根據(jù)乘法分配律進(jìn)行計算.
點評:四則運算,先弄清運算順序,然后再進(jìn)一步計算,能簡算的要簡算.