题目内容

(2012?渝北区)
计算,能简便的用简便方法计算.
15
13
-(
2
13
+
5
7
)=
2
7
2
7
2.7×3.4+3.4×6.3+3.4=
34
34
12.5×2.5×32=
1000
1000
101×98=
9898
9898
(2.4+2.4÷0.6)×
1
2
=
3.2
3.2
8
9
÷
7
9
×
3
4
=
6
7
6
7
[3-(
3
4
-
5
8
)]×
4
23
=
1
2
1
2
8
15
÷[(
2
3
+
1
2
)÷
7
4
]=
4
5
4
5
分析:(1)根据减去两个数的和等于连续减去这两个数简算;
(2)运用乘法分配律简算;
(3)把32分解成8×4,再运用乘法结合律简算;
(4)把101分解成100+1,再运用乘法分配律简算;
(5)先算小括号里面的除法,再算小括号里面的加法,最后算括号外的乘;
(6)按照从左到右的顺序计算;
(7)先算小括号里面的减法,再算中括号里面的减法,最后算括号外的乘法;
(8)先算小括号里面的加法,再算中括号里面的除法,最后算括号外的除法.
解答:解:(1)
15
13
-(
2
13
+
5
7
),
=
15
13
-
2
13
-
5
7

=1-
5
7

=
2
7


(2)2.7×3.4+3.4×6.3+3.4,
=(2.7+6.3+1)×3.4,
=10×3.4,
=34;

(3)12.5×2.5×32,
=12.5×2.5×8×4,
=(12.5×8)×(2.5×4),
=100×10,
=1000;

(4)101×98,
=(100+1)×98,
=100×98+1×98,
=9800+98,
=9898;

(5)(2.4+2.4÷0.6)×
1
2

=(2.4+4)×
1
2

=6.4×
1
2

=3.2;

(6)
8
9
÷
7
9
×
3
4

=
8
7
×
3
4

=
6
7


(7)[3-(
3
4
-
5
8
)]×
4
23

=[3-
1
8
4
23

=
23
8
×
4
23

=
1
2


(8)
8
15
÷[(
2
3
+
1
2
)÷
7
4
],
=
8
15
÷[
7
6
÷
7
4
],
=
8
15
×
3
2

=
4
5
点评:此题是考查四则混合运算,要仔细观察算式的特点,灵活运用一些定律进行简便计算.
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