问题 解答题
(1)(-
1
2
-
1
3
+
5
6
-
7
12
)×(-72)

(2)8+(-3)2×(-2)-22
(3)(-1)2006-23÷(-4)3-
1
8

(4)
1
2×4
+
1
4×6
+
1
6×8
+…+
1
198×200
答案

(1)原式=-

1
2
×(-72)-
1
3
×(-72)+
5
6
×(-72)-
7
12
×(-72)

=36+24-60+42

=42;

(2)原式=8+9×(-2)-4

=8-18-4

=-14;

(3)原式=1-8÷(-64)-

1
8

=1+

1
8
-
1
8

=1;

(4)原式=

1
2
×(
1
2
-
1
4
)+
1
2
×(
1
4
-
1
6
)+
1
2
×(
1
6
-
1
8
)+…+
1
2
×(
1
198
-
1
200

=

1
2
×(
1
2
-
1
4
+
1
4
-
1
6
+
1
6
-
1
8
+…+
1
198
-
1
200

=

1
2
×(
1
2
-
1
200

=

1
2
×
99
200

=

99
400

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