问题 解答题
下面各题,怎样简便就怎样算.
39÷7+31×
1
7

0.625×36+
3
8
×36-36
4
9
÷[(
5
6
-
1
2
)+(
5
9
-
5
18
)]
2008
2009
×2008-2007
1
2
+
1
6
+
1
12
+
1
20
+
1
30
+
1
42
+
1
56
+
1
72
2
9
+
5
27
)×27×9.
答案

(1)39÷7+31×

1
7

=(39+31)×

1
7

=70×

1
7

=10;

(2)0.625×36+

3
8
×36-36,

=(0.625+0.375-1)×36,

=0×36,

=0;

(3)

4
9
÷[(
5
6
-
1
2
)+(
5
9
-
5
18
)],

=

4
9
÷[
1
3
+
5
18
],

=

4
9
÷
11
18

=

8
11

(4)

2008
2009
×2008-2007,

=

2008
2009
×2009-
2008
2009
×1-2007,

=2008-

2008
2009
-2007,

=1-

2008
2009

=

1
2009

(5)

1
2
+
1
6
+
1
12
+
1
20
+
1
30
+
1
42
+
1
56
+
1
72

=1-

1
2
+
1
2
-
1
3
+
1
3
-
1
4
+
1
4
-
1
5
+
1
5
-
1
6
+
1
6
-
1
7
+
1
7
-
1
8
+
1
8
+
1
8
-
1
9

=1-

1
9

=

8
9

(6)(

2
9
+
5
27
)×27×9,

=

2
9
×72×9+
5
27
×27×9,

=144+45,

=189.

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