2
7
×
1
7
=
7684×101-7684=
1
4
÷25%×
1
8
=
1
3
×2÷
1
3
×2=
9
2
5
-(3
3
7
+0.4)=
31.6.25-40÷16×2=
(1-0.75)×(3.9+2.25÷2.5)= 2
7
20
÷[5
3
4
-4.5×(20%+
1
3
)]=
[(
37
40
+0.075)÷
3
25
-2
17
24
2
15
=
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.
解答:解:
(1)1÷
2
7
×
1
7

=
7
2
×
1
7
,
=
1
2


(2)7684×101-7684,
=7684×(101-1),
=7684×100,
=768400;

(3)
1
4
÷25%×
1
8
,
=1×
1
8
,
=
1
8
;

(4)
1
3
×2÷
1
3
×2,
=(
1
3
÷
1
3
)×(2×2),
=1×4,
=4;

(5)9
2
5
-(3
3
7
+0.4),
=9
2
5
-0.4-3
3
7
,
=9-3
3
7
,
=5
4
7
;

(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
7
20
÷[5
3
4
-4.5×(20%+
1
3
)],
=2
7
20
÷[5
3
4
-4.5×
8
15
],
=2
7
20
÷[5
3
4
-2.4],
=2
7
20
÷3
7
20
,
=
47
67
;

(9)[(
37
40
+0.075)÷
3
25
-2
17
24
2
15
,
=[1÷
3
25
-2
17
24
2
15
,
=[
25
3
-2
17
24
2
15
,
=5
5
8
×
2
15

=
3
4
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.
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