问题 解答题
计算下面各题,能简便计算的要简便计算
(1)7
4
15
-(2
4
15
-2.3)
(2)4.85×3
3
5
-3.6+6.15×3
3
5

(3)0.025×999×2.8×40÷2
4
5

(4)
2001×2001+2001
2002×2002-2002

(5)(1-
1
2×2
)(1-
1
3×3
)(1-
1
4×4
)…(1-
1
2001×2001
).
答案

(1)7

4
15
-(2
4
15
-2.3),

=7

4
15
-2
4
15
+2.3,

=5+2.3,

=7.3;

(2)4.85×3

3
5
-3.6+6.15×3
3
5

=4.85×3.6-3.6+6.15×3.6,

=(4.85-1+6.15)×3.6,

=10×3.6,

=36;

(3)0.025×999×2.8×40÷2

4
5

=(0.025×40)×(2.8÷2.8)×999,

=1×1×999,

=999;

(4)

2001×2001+2001
2002×2002-2002

=

2001×(2001+1)
2002×(2002-1)

=

2001×2002
2002×2001

=1;

(5)(1-

1
2×2
)(1-
1
3×3
)(1-
1
4×4
)…(1-
1
2001×2001
),

=(

1
2
×
3
2
)×(
2
3
×
4
3
)×(
3
4
×
5
4
)×…(
2000
2001
×
2002
2001
),

1
2
×(
3
2
×
2
3
)×(
4
3
×
3
4
)×…(
2001
2000
×
2000
2001
)×
2002
2001

=

1
2
×1×1×…×
2002
2001

=

1001
2001

问答题 简答题
问答题 简答题