问题 解答题
神机妙算(写出简算过程)
2005×
2003
2004

1
5
+
2
7
)×5×7

999
8
9
+99
8
9
+9
8
9
+
1
3
答案

(1)2005×

2003
2004

=(2004+1)×

2003
2004

=2004×

2003
2004
+1×
2003
2004

=2003+

2003
2004

=2003

2003
2004

(2)(

1
5
+
2
7
)×5×7,

=

1
5
×5×7+
2
7
×5×7,

=7+10,

=17;

(3)999

8
9
+99
8
9
+9
8
9
+
1
3

=(999+99+9)+

8
9
×3+
1
3

=[(1000-1)+(100-1)+(10-1)]+(

8
3
+
1
3
),

=1110-3+3,

=1110.

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