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①96969696×99999999÷32323232÷33333333②116+1112+1120+1130+1142+1156③246×321963123369④12×4+14×6+16×8+…+12008×2010.

题目详情
①96969696×99999999÷32323232÷33333333  
②1
1
6
+1
1
12
+1
1
20
+1
1
30
+1
1
42
+1
1
56

③246×
321963
123369
               
1
2×4
+
1
4×6
+
1
6×8
+…+
1
2008×2010
▼优质解答
答案和解析
①96969696×99999999÷32323232÷33333333,
=96×1010101×9×11111111÷(32×1010101×3×11111111),
=96×9÷(32×3),
=96×9÷96,
=9;

②1
1
6
+1
1
12
+1
1
20
+1
1
30
+1
1
42
+1
1
56

=(
1
6
+
1
12
+
1
20
+
1
30
+
1
42
+
1
56
)+6,
=(
1
2
-
1
3
+
1
3
-
1
4
+
1
4
-
1
5
+
1
5
-
1
6
+
1
6
-
1
7
+
1
7
-
1
8
)+6,
=
1
2
-
1
8
+6,
=6
3
8


③246×
321963
123369

=246×
321×1003
123×1003

=246×
321
123