问题 解答题
用简便方法计算,并写出简算过程.
①2005×
2003
2004


②999
8
9
+99
8
9
+9
8
9
+
1
3
8
49
÷[
9
8
-(
1
8
+
3
7
)]

④1.3-3.79+9.7-6.21.
答案

①2005×

2002
2004

=(2004+1)×

2003
2004

=2004×

2003
2004
+
2003
2004

=2003+

2003
2004

=2003

2003
2004

②999

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

=999

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

=(999

8
9
+
1
9
)+(99
8
9
+
1
9
)+(9
8
9
+
1
9
),

=1000+100+10,

=1110;

8
49
÷[
9
8
-(
1
8
+
3
7
)],

=

8
49
÷[
9
8
-
1
8
-
3
7
],

=

8
49
÷[1-
3
7
],

=

8
49
÷
4
7

=

8
49
×
7
4

=

2
7

④1.3-3.79+9.7-6.21,

=(1.3+9.7)-(3.79+6.21),

=11-10,

=1.

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