问题 解答题
计算(要求能进行简便运算的用简便方法计算)
(1)|
1
3
-
1
2
|+|
1
4
-
1
3
|+|
1
5
-
1
4
|+…+|
1
2012
-
1
2011
|;
(2)-53-[(-2)3+(1-0.8×
3
4
)÷(-2)]

(3)-9
18
19
×15

(4)(-
1
36
)÷(
5
12
-
7
9
-
2
3
)
答案

(1)原式=

1
2
-
1
3
+
1
3
-
1
4
+
1
4
-
1
5
+
1
2011
-
1
2012

=

1
2
-
1
2012

=

1005
2012

(2)原式=-125-(-8-

2
5
×
1
2

=-125-(-8-

1
5

=-125+8+

1
5

=-116

4
5

(3)原式=(-10+

1
19
)×15

=-150+

15
19

=-149

4
19

(4)原式=(-

1
36
)÷
15-28-24
36

=(-

1
36
)×(-
36
37

=

1
37

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