题目内容

用简便方法计算
(1)85×
3
86

(2)
5
24
×25
(3)
3
2
×
4
3
×
5
4
×…
×
101
100
×
102
101

(4)
1
1×3
+
1
3×5
+
1
5×7
+…+
1
17×19

(5)
1
4
+
1
28
+
1
70
+
1
130

(1)85×
3
86

=(86-1)×
3
86

=86×
3
86
-1×
3
86

=3-
3
86

=2
83
86


(2)
5
24
×25,
=
5
24
×(24+1),
=
5
24
×24+
5
24
×1,
=5+
5
24

=5
5
24


(3)
3
2
×
4
3
×
5
4
×…
×
101
100
×
102
101

=
102
2

=51;

(4)
1
1×3
+
1
3×5
+
1
5×7
+…+
1
17×19

=(1-
1
3
+
1
3
-
1
5
+
1
5
-
1
7
+…+
1
17
-
1
19
)×
1
2

=(1-
1
19
)×
1
2

=
18
19
×
1
2

=
9
19


(5)
1
4
+
1
28
+
1
70
+
1
130

=
1
1×4
+
1
4×7
+
1
7×10
+
1
10×13

=(1-
1
4
+
1
4
-
1
7
+
1
7
-
1
10
+
1
10
-
1
13
)×
1
3

=(1-
1
13
)×
1
3

=
12
13
×
1
3

=
4
13
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