解:①32×18+3060÷36
=576+85,
=661;
②30
=30
-(25.7+4.3),
=30
-30,
=
;
③2.75+3
=2.75+3.8+10.2+1.25,
=(2.75+1.25)+(3.8+10.2),
=4+14,
=18;
④7.8×3.4+7
=7.8×3.4+7.8+7.8×5.6,
=7.8×(3.4+5.6+1),
=7.8×10,
=78;
⑤12×(
+
-
)
=12×
+12×
+12×
,
=3+2+4,
=9;
⑥[(4-1
)÷1.2+1
]
=[
+
]
,
=[
+
]×
,
=[
+
]×
,
=
×
,
=
.
分析:①⑥根據(jù)四則混合運(yùn)算的運(yùn)算順序計(jì)算即可:先算乘除,再算加減,有括號(hào)的要先算括號(hào)里面的;
②根據(jù)一個(gè)數(shù)減兩個(gè)數(shù),等于用這個(gè)數(shù)減去這兩個(gè)數(shù)的和的減法性質(zhì)進(jìn)行計(jì)算;
③可根據(jù)加法交換律與結(jié)合律進(jìn)行計(jì)算;
④⑤可根據(jù)乘法分配律進(jìn)行計(jì)算.
點(diǎn)評(píng):當(dāng)算式中同時(shí)含有分?jǐn)?shù)與小數(shù)時(shí),要根據(jù)式中數(shù)據(jù)的特點(diǎn),靈活將分?jǐn)?shù)與小數(shù)進(jìn)行互化,然后再進(jìn)行計(jì)算.