1
13
×
1
18
×18×
26
7
19
30
×31-
19
30
(90+
1
88
)×
1
89
34×
13
33
35×
11
36
2006
2007
×2006
1
4
×39+
3
4
×27          
1
6
×35+
5
6
×17         
1
8
×5+
5
8
×5+
1
8
×10
7×13×(
8
7
-
14
13
)      
1
17
×
4
9
+
5
17
×
1
9
1
7
×
3
4
+
3
7
×
1
6
+
6
7
×
1
12
分析:(1)根據(jù)乘法交換律、結(jié)合律簡(jiǎn)便計(jì)算;
(2)(4)(5)(10)應(yīng)用乘法分配律簡(jiǎn)便計(jì)算;
(3)先變形為(89+
89
88
)×
1
89
,再應(yīng)用乘法分配律簡(jiǎn)便計(jì)算;
(7)先變形為
3
4
×13+
3
4
×27,再應(yīng)用乘法分配律簡(jiǎn)便計(jì)算;
(8)先變形為
5
6
×7+
5
6
×17,再應(yīng)用乘法分配律簡(jiǎn)便計(jì)算;
(9)先變形為
1
8
×5+
1
8
×25+
1
8
×10,再應(yīng)用乘法分配律簡(jiǎn)便計(jì)算;
(11)先變形為
1
17
×
4
9
+
1
17
×
5
9
,再應(yīng)用乘法分配律簡(jiǎn)便計(jì)算;
(12)先變形為
1
7
×
3
4
+
1
7
×
1
2
+
1
7
×
1
2
,再應(yīng)用乘法分配律簡(jiǎn)便計(jì)算.
解答:
解:(1)
1
13
×
1
18
×18×
26
7

=
1
13
×
26
7
×
1
18
×18
=
2
7
×1
=
2
7
;

(2)
19
30
×31-
19
30

=(31-1)×
19
30

=30×
19
30

=19;

(3)(90+
1
88
)×
1
89

=(89+
89
88
)×
1
89

=1+
1
88

=1
1
88

(4)34×
13
33

=(33+1)×
13
33

=13+
13
33

=13
13
33
;

(5)35×
11
36

=(36-1)×
11
36

=11-
11
36

=10
25
36
;


(6)
2006
2007
×2006
=
2006
2007
×(2007-1)
=2006-
2006
2007

=2005
1
2007
;

(7)
1
4
×39+
3
4
×27
=
3
4
×13+
3
4
×27
=
3
4
×(13+27)
=
3
4
×40
=30;

(8)
1
6
×35+
5
6
×17
=
5
6
×7+
5
6
×17
=
5
6
×(7+17)
=
5
6
×24
=20;            

(9)
1
8
×5+
5
8
×5+
1
8
×10
=
1
8
×5+
1
8
×25+
1
8
×10
=
1
8
×(5+25+10)
=
1
8
×40
=5;

(10)7×13×(
8
7
-
14
13

=7×13×
8
7
-7×13×
14
13

=104-98
=6;   
   

(11)
1
17
×
4
9
+
5
17
×
1
9

=
1
17
×
4
9
+
1
17
×
5
9

=
1
17
×(
4
9
+
5
9

=
1
17
×1
=
1
17
;

(12)
1
7
×
3
4
+
3
7
×
1
6
+
6
7
×
1
12

=
1
7
×
3
4
+
1
7
×
1
2
+
1
7
×
1
2

=
1
7
×(
3
4
+
1
2
+
1
2

=
1
7
×
7
4

=
1
4
點(diǎn)評(píng):此題主要考查分?jǐn)?shù)的四則混合運(yùn)算的運(yùn)算順序和應(yīng)用運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算.
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