题目内容

脱式计算(能简算的要简算)
(1)(
1
3
+
1
4
-
1
24
)×24
(2)(1+
1
2
)×(1-
1
2
)×(1+
1
3
)×(1-
1
3
)×…×(1+
1
9
)×(1-
1
9

(3)2007×
2005
2006

(4)2.5×0.875+0.25×1.25.
(1)(
1
3
+
1
4
-
1
24
)×24,
=
1
3
×24+
1
4
×24-
1
24
×24,
=8+6-1,
=13;

(2)(1+
1
2
)×(1-
1
2
)×(1+
1
3
)×(1-
1
3
)×…×(1+
1
9
)×(1-
1
9
),
=
3
2
×
1
2
×
4
3
×
2
3
×…×
10
9
×
8
9

=
1
2
×
10
9

=
5
9


(3)2007×
2005
2006

=(2006+1)×
2005
2006

=2006×
2005
2006
+
2005
2006

=2005+
2005
2006

=2005
2005
2006


(4)2.5×0.875+0.25×1.25,
=2.5×0.875+2.5×0.125,
=(0.875+0.125)×2.5,
=1×2.5,
=2.5.
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