解:
(1)1÷
×
,
=
×
,
=
;
(2)7684×101-7684,
=7684×(101-1),
=7684×100,
=768400;
(3)
÷25%×
,
=1×
,
=
;
(4)
×2÷
×2,
=(
÷
)×(2×2),
=1×4,
=4;
(5)9
-(3
+0.4),
=9
-0.4-3
,
=9-3
,
=5
;
(6)31.625-40÷16×2,
=31.625-2.5×2,
=31.625-5,
=26.625;
(7)(1-0.75)×(3.9+2.25÷2.5),
=0.25×(3.9+0.9),
=0.25×4.8,
=1.2;
(8)2
÷[5
-4.5×(20%+
)],
=2
÷[5
-4.5×
],
=2
÷[5
-2.4],
=2
÷3
,
=
;
(9)
,
=[1÷
-2
]×
,
=[
-2
]×
,
=5
×
,
=
.
分析:(1)先算除法,再算乘法;
(2)根據(jù)乘法分配律進行計算;
(3)先算除法,再算乘法;
(4)根據(jù)乘法交換律和結合律進行計算;
(5)根據(jù)連減的性質進行計算;
(6)先算除法,再算乘法,最后算減法;
(7)先算小括號里面的,再算乘法;
(8)先算加法,再算乘法,再算減法,最后算除法;
(9)先算加法,再算除法,再算減法,最后算乘法.
點評:此題主要考查分數(shù)、小數(shù)和整數(shù)的四則混合運算的運算順序和應用運算定律進行簡便計算.