簡便計(jì)算:
6
7
×
5
8
+
3
8
÷
7
6
13-48×(
1
12
+
1
16
)        
2
5
+
1
2
×
3
5
+
7
10
12
13
×
3
7
+
4
7
×
12
13
+
12
13
2-
5
9
-
4
15
÷
3
5
               
99×
99
100
分析:(1)將除法變?yōu)槌朔,再根?jù)乘法分配律簡便計(jì)算;
(2)根據(jù)乘法分配律簡便計(jì)算;
(3)先算乘法,再根據(jù)加法結(jié)合律簡便計(jì)算;
(4)(6)根據(jù)乘法分配律簡便計(jì)算;
(5)先算除法,再根據(jù)連減的簡算方法計(jì)算即可.
解答:解:(1)
6
7
×
5
8
+
3
8
÷
7
6
,
=
6
7
×
5
8
+
3
8
×
6
7

=
6
7
×(
5
8
+
3
8
),
=
6
7
×1,
=
6
7


(2)13-48×(
1
12
+
1
16
),
=13-48×
1
12
-48×
1
16
,
=13-4-3,
=6;

(3)
2
5
+
1
2
×
3
5
+
7
10

=
2
5
+
3
10
+
7
10
,
=
2
5
+(
3
10
+
7
10
),
=
2
5
+1,
=1
2
5


(4)
12
13
×
3
7
+
4
7
×
12
13
+
12
13

=
12
13
×(
3
7
+
4
7
+1),
=
12
13
×2,
=
24
13
;

(5)2-
5
9
-
4
15
÷
3
5

=2-
5
9
-
4
9
,
=2-(
5
9
+
4
9
),
=2-1,
=1;

(6)99×
99
100
,
=(100-1)×
99
100
,
=100×
99
100
-1×
99
100
,
=99-
99
100
,
=98
1
100
點(diǎn)評: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)行簡便計(jì)算.
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