解:(1)
×1
+45×
=
+45×
,
=
+25,
=25
;
(2)8400-108×42
=8400-(100+8)×42,
=8400-[100×42+42×8],
=8400-[4200+336],
=8400-4200-336,
=3864;
(3)5+3.5÷0.5×5.2
=5+7×5.2,
=5+36.4,
=41.4;
(4)(1+0.78×
)÷(145+
)
=(1+0.65)÷(145+0.75),
=1.65÷145.75
=
,
=
,
=
;
(5)[2
+2.4×(1
-1.5)]÷1.1
=[2
+2.4×
-2.4×
]÷1.1
=[2.6+4-3.6]÷1.1,
=3÷1.1
=
;
(6)(12+999+99)÷[56×(
-
)]
=(12-2+1000+100)÷[56×
-56×
],
=1110÷[24-21],
=1110÷3,
=370.
分析:本題根據(jù)四則混合運(yùn)算法的運(yùn)算順序計算即可:先算乘除,再算加減,有括號的要先算括號里面的.
計算(2)時可將108拆分為100+8后再根據(jù)乘法分配律與一個數(shù)減兩個數(shù)的和,等于用這個數(shù)分別減去這兩個數(shù)的減法性質(zhì)進(jìn)行計算;
計算(5)時可將2.4×(1
-1.5)根據(jù)乘法分配律進(jìn)行計算;
計算(6)時可用湊整法計算12+999+99,根據(jù)乘法分配律計算56×(
-
).
點(diǎn)評:完成有關(guān)于小數(shù)的四則混合運(yùn)算時,要注意小數(shù)點(diǎn)位置的變化;完成有關(guān)于分?jǐn)?shù)的四則混合運(yùn)算時,要注意通分、約分.