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计算下列各题.(1)78×2377(2)19×42+49×12(3)14×5+15×6+16×7+…+139×40(4)12+14+18+116+…+1256(5)(1+12+13+14)×(12+13+14+15)-(1+12+13+14+15)×(12+13+14)

题目详情
计算下列各题.
(1)78×
23
77

(2)
1
9
×42+
4
9
×12
(3)
1
4×5
+
1
5×6
+
1
6×7
+…+
1
39×40

(4)
1
2
+
1
4
+
1
8
+
1
16
+…+
1
256

(5)(1+
1
2
+
1
3
+
1
4
)×(
1
2
+
1
3
+
1
4
+
1
5
)-(1+
1
2
+
1
3
+
1
4
+
1
5
)×(
1
2
+
1
3
+
1
4
▼优质解答
答案和解析
(1)78×
23
77

=(77+1)×
23
77

=77×
23
77
+
23
77

=23+
23
77

=23
23
77


(2)
1
9
×42+
4
9
×12,
=
42
9
+
48
9

=10;

(3)
1
4×5
+
1
5×6
+
1
6×7
+…+
1
39×40

=
1
4
-
1
5
+
1
5
-
1
6
+
1
6
-
1
7
+…+
1
39
-
1
40

=
1
4
-
1
40

=
9
40


(4)
1
2
+
1
4
+
1
8
+
1
16
+…+
1
256

=(1-
1
2
)+(
1
2
-<
作业帮用户 2016-12-08