问题 解答题
下面各题怎样算简便就怎样算.
(
4
15
-
1
25
)×15×25

1
2
+
3
4
+
7
8
+
15
16
+
31
32
+
63
64
+
127
128
答案

(1)(

4
15
-
1
25
)×15×25,

=

4
15
×15×25-
1
25
×25×15,

=100-15,

=85;

(2)

1
2
+
3
4
+
7
8
+
15
16
+
31
32
+
63
64
+
127
128

=(1-

1
2
)+(1-
1
4
)+(1-
1
8
)+…+(1-
1
128
),

=7-(

1
2
+
1
4
+
1
8
+
1
16
+
1
32
+
1
64
+
1
128
),

=7-(1-

1
2
+
1
2
-
1
4
+
1
4
-
1
8
+
1
8
-
1
16
+
1
16
-
1
32
+
1
32
-
1
64
+
1
64
-
1
128
),

=7-(1-

1
128
),

=6+

1
128

=6

1
128

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