计算下面各题,能简算的要简算.①12+14+18+116+132+164②88888×88889+44444×22222③119+2021919+30303191919-404040419191919

题目简介

计算下面各题,能简算的要简算.①12+14+18+116+132+164②88888×88889+44444×22222③119+2021919+30303191919-404040419191919

题目详情

计算下面各题,能简算的要简算.
1
2
+
1
4
+
1
8
+
1
16
+
1
32
+
1
64

②88888×88889+44444×22222

1
19
+
202
1919
+
30303
191919
-
4040404
19191919
+
505050505
1919191919


1-(
1
2
-
1
3
)-(
1
3
-
1
4
)-(
1
4
-
1
5
)-(
1
5
-
1
6
)
题型:解答题难度:中档来源:不详

答案

class="stub"1
2
+class="stub"1
4
+class="stub"1
8
+class="stub"1
16
+class="stub"1
32
+class="stub"1
64

=1-class="stub"1
2
+class="stub"1
2
-class="stub"1
4
+class="stub"1
4
-class="stub"1
8
+class="stub"1
8
-class="stub"1
16
+class="stub"1
16
-class="stub"1
32
+class="stub"1
32
-class="stub"1
64

=1-class="stub"1
64

=class="stub"63
64


②88888×88889+44444×22222,
=88888×88889+88888×11111,
=88888×(88889+11111),
=88888×100000,
=8888800000;

class="stub"1
19
+class="stub"202
1919
+class="stub"30303
191919
-class="stub"4040404
19191919
+class="stub"505050505
1919191919

=class="stub"1
19
+class="stub"2×101
19×101
+class="stub"3×10101
19×10101
-class="stub"4×1010101
19×1010101
+class="stub"5×101010101
19×101010101

=class="stub"1
19
+class="stub"2
19
+class="stub"3
19
-class="stub"4
19
+class="stub"5
19

=class="stub"10
19


④1-(class="stub"1
2
-class="stub"1
3
)-(class="stub"1
3
-class="stub"1
4
)-(class="stub"1
4
-class="stub"1
5
)-(class="stub"1
5
-class="stub"1
6
),
=1-class="stub"1
2
+class="stub"1
3
-class="stub"1
3
+class="stub"1
4
-class="stub"1
4
+class="stub"1
5
-class="stub"1
5
+class="stub"1
6

=1-class="stub"1
2
+class="stub"1
6

=class="stub"2
3

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