问题 解答题
用递等式计算,能简算的简算
2506-10517÷13+14×106
[0.8+0.75×(0.65-0.25)]÷0.01
455×7.6+112÷
5
38
+43.3×76
1
1
+
1
1+2
+
1
1+2+3
+…+
1
1+2+3+…+50
答案

(1)2506-10517÷13+14×106,

=2506-809+1484,

=1697+1484,

=3181;

(2)[0.8+0.75×(0.65-0.25)]÷0.01,

=[0.8+0.75×0.4]÷0.01,

=[0.8+0.3]÷0.01,

=1.1÷0.01,

=110;

(3)455×7.6+112÷

5
38
+43.3×76,

=455×7.6+112×7.6+433×7.6,

=(455+112+433)×7.6,

=1000×7.6,

=7600;

(4)

1
1
+
1
1+2
+
1
1+2+3
+…+
1
1+2+3+…+50

=1+2×(

1
2
-
1
3
+
1
3
-
1
4
+
1
4
+…+
1
50
-
1
51
),

=1+2×(

1
2
-
1
51
),

=1+

49
51

=

100
51

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