题目内容

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
(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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